# Patent

## Title
System configuration using a double helix conductor

## Abstract

An electrical system having an underlying structure resembling the double helix most commonly associated with DNA may be used to produce useful electromagnetic fields for various applications.

## Background
FIELD OF THE INVENTION
The invention relates to bodies structured as helically wound runners around which one or more conductive wires may be wound, electrical devices and/or systems configured to include such bodies, and the manufacture of such bodies and/or such electrical devices and/or systems. The invention also relates to methods of operation of these devices and systems, and applications thereof.
BACKGROUND OF THE INVENTION
It is known that spirally wound electrical conductors may exhibit certain electromagnetic properties and/or generate particular electromagnetic fields. For example, it is known that an electromagnetic coil may act as an inductor and/or part of a transformer, and has many established useful applications in electrical circuits. An electromagnetic coil may be used to exploit the electromagnetic field that is created when, e.g., an active current source is operatively coupled to both ends of the coil.
SUMMARY
One aspect of the invention relates to an electrical system comprising a body and one or more conductive wires. The body may include two intertwined helically wound runners. A first runner is coupled to the second runner by struts. The body is arranged in a toroidal shape. The one or more conductive wires may be spirally wound to form a coil around at least part of one runner of the body.
One aspect of the invention relates to an electrical system comprising a body and two conductive wires. The body may include two intertwined helically wound runners. A first runner is coupled to a second runner by struts that substantially do not conduct electricity between the first runner and the second runner. The body is arranged in a toroidal shape having a centroid. The first conductive wire is spirally wound using a first predetermined winding around at least part of the first runner of the body such that the first conductive wire is arranged in a helical shape having an axis that coincides with the first runner. The second conductive wire is spirally wound using a second predetermined winding around at least part of the second runner of the body such that the second conductive wire is arranged in a helical shape having an axis that coincides with the second runner. The first runner includes two leads configured to be electrically coupled to a current source to receive a first current such that an electromagnetic field is created. The second runner includes two leads configured to be electrically coupled to the current source to receive a second current such that the electromagnetic field is modified.
These and other objects, features, and characteristics of the present disclosure, as well as the methods of operation and functions of the related components of structure and the combination of parts and economies of manufacture, will become more apparent upon consideration of the following description and the appended claims with reference to the accompanying drawings, all of which form a part of this specification, wherein like reference numerals designate corresponding parts in the various figures. It is to be expressly understood, however, that the drawings are for the purpose of illustration and description only and are not intended as a definition of the any limits. As used in the specification and in the claims, the singular form of “a”, “an”, and “the” include plural referents unless the context clearly dictates otherwise.



BRIEF DESCRIPTION OF THE DRAWINGS
FIG. 1 illustrates a side view of an exemplary body including two intertwined helically wound runners, coupled by struts.
FIG. 2 illustrates an isometric view of an exemplary body including two intertwined helically wound runners, coupled by struts.
FIG. 3 illustrates a top-down view of an exemplary body including two intertwined helically wound runners sharing the same circular axis, both runners coupled by struts.
FIG. 4 illustrates an isometric view of an exemplary body including two intertwined helically wound runners sharing the same circular axis, both runners coupled by struts.
FIG. 5 illustrates a top-down view of an exemplary body including two intertwined helically wound runners sharing the same circular axis and having wire guides, both runners coupled by struts.
FIG. 6 illustrates an isometric view of an exemplary body including two intertwined helically wound runners sharing the same circular axis and having wire guides, both runner coupled by struts.
FIG. 7 illustrates a top-down view of an exemplary body including two intertwined helically wound runners sharing the same elliptical axis, both runner coupled by struts.
FIG. 8 illustrates a top-down view of an exemplary body including two intertwined helically wound runners sharing the same circular axis, both runners coupled by struts and having conductive wires spirally wound therearound.
FIG. 9 illustrates a top-down view of an exemplary body including two intertwined helically wound runners sharing the same circular axis, both runner coupled by struts and having a wire spirally wound around both runners of the body.
FIGS. 10A-D illustrate various different windings to spirally wind one or more wires around a runner in accordance with exemplary embodiments.
FIG. 11 illustrates a winding that spirally winds a wire around a runner and around struts in accordance with exemplary embodiments.



DETAILED DESCRIPTION
FIG. 1 illustrates a side view of an exemplary body 15. Body 15 may include two or more intertwined helically wound runners—runner 16 and runner 17. Runner 16 and runner 17 may be coupled by struts 18. Body 15 includes two ends—end 20 and end 21—disposed at opposite sides of body 15. Runners 16 and/or 17 may be arranged in the shape of a three-dimensional curve similar to or substantially the same as a helix. A helix may be characterized by the fact that a tangent line at any point along the curve has a constant angle with a (fixed) line called the axis. The pitch of a helix may be the width of one 360 degree helix turn (a.k.a. revolution), e.g. measured parallel to the axis of the helix. Intertwined helically wound runners may share the same axis, be congruent, and/or differ by a translation along the axis, e.g. measuring half the pitch. The two runners shown in FIG. 1 may share the same axis 22, extending horizontally for approximately three complete revolutions. The length of body 15, as measured along axis 22 from end 20 to end 21, may thus be approximately three times the length of pitch 23. A helical shape may have constant pitch, constant radius (measured in the plane perpendicular to the axis), constant torsion, constant curvature, constant ratio of curvature to torsion, and/or a straight axis. In FIG. 1, the radius of body 15 may be half of diameter 24. It is noted that the shape of body 15 resembles the general shape of DNA.
The shape of the cross-section of a runner may include one or more of a circle, an oval, a square, a triangle, a rectangle, an angular shape, a polygon, and/or other shapes. The width and height of the cross-section of a runner may be limited to a maximum of half the pitch for practical purposes. The shape and/or size of the cross-section of a runner may change along the length of the runner. The relation of the width of a runner to the pitch of the helical shape may define a characteristic measurement/feature of body 15. This relation may be constant along the length of body 15, e.g. from end 20 to end 21. In FIG. 1, the shape of cross-section of runner 16 and runner 17 may be a rectangle that is approximately three times wider than it is tall. Furthermore, the width of runner 16 or runner 17 may be approximately 1/13th of the pitch of said runner of body 15. As a result, runner 17 of body 15 resembles a ribbon having an inner surface 25 (facing axis 22 of the helical shape) and an outer surface 26 (facing the opposite way as inner surface 25). Runner 16 of body 15 resembles a ribbon having an inner surface 27 (facing axis 22 of the helical shape) and an outer surface 28 (facing the opposite way as inner surface 27). Note that embodiments of this disclosure are not intended to be limited by any of the given examples.
Struts 18 coupling the runner 16 and runner 17 may be substantially straight, curved, the shape of an arc, twisted, and/or other shapes. In FIG. 1, struts 18 may be substantially straight. Struts 18 may be arranged substantially perpendicular to axis 22, and/or substantially parallel to others of struts 18. The shape of a cross-section of a strut may include one or more of a circle, an oval, a square, a triangle, a rectangle, an angular shape, a polygon, and/or other shapes. The shape and/or size of the cross-section of one of struts 18 may change along the length of the strut. In FIG. 1, the shape of the cross-section of struts 18 may be a circle. In FIG. 1, all or most struts may have substantially the same length. The number of struts per revolution may not be constant. In FIG. 1, body 15 includes approximately 10 struts per complete revolution of a runner. As shown in FIG. 1, the diameter of each strut may be smaller than the width of a runner as measured e.g. at inner surface 25 of runner 17 at the point of engagement 19 with one of struts 18. The diameter of one strut may not be constant. The diameters of multiple adjacent struts may not be the same.
Runner 16, runner 17 and/or struts 18 may be manufactured from one or more of plastic, plastic plated with metals including copper, nickel, iron, soft iron, nickel alloys, and/or other metals and alloys, and/or other materials. In some embodiments, runner 16, runner 17 and struts 18 are manufactured from non-conductive material. Runner 16, runner 17, and struts 18 may be manufactured from different materials. Runner 16, runner 17, and struts 18 may be manufactured through integral construction or formed separately prior to being assembled.
FIG. 2 illustrates an isometric view of an exemplary body 15 including two intertwined helically wound runners—runner 16 and runner 17—coupled by struts 18. Body 15 is shown here with axis 22 of both helically wound runners extending vertically.
FIG. 3 illustrates a top-down view of an exemplary body 35 including two intertwined helically wound runners—runner 36 and runner 37—sharing the same circular axis 42, both runners coupled by struts 38. The resulting shape of body 35 may be referred to as toroidal. Body 35 may be formed the same as or similar to body 15, though comprising more revolutions, by arranging the body in a planar circular shape and joining both ends—end 20 and end 21 in FIG. 1—together. The preceding statement is not intended to limit the (process of) manufacture of bodies similar to or substantially the same as body 35 in any way. Note that the shape of the cross-section of both runner 36 and runner 37 in FIG. 3 may be circular, whereas it may be rectangular for body 15 in FIGS. 1 and 2.
Referring to FIG. 3, the diameter 44 of the circular axis of body 35, as well as the number of complete revolutions per runner required to completely extend along the entire circular axis 42 may be characteristic measurements/features of body 35. For example, as shown in FIG. 3, runner 36 and runner 37 of body 35 may require approximately eight complete revolutions around circular axis 42 to completely extend along the entire circular axis 42 of body 35, or some other number of rotations.
Note that one or more struts 38 of body 35 in FIG. 3 include a center-strut element 39, which is lacking from struts 18 of body 15. Center-strut element 39 may be associated with a particular strut of body 35. The shape of the cross section of a center-strut element may include one or more of a circle, an oval, a square, a triangle, a rectangle, an angular shape, a polygon, and/or other shapes. The shape and/or size of the cross-section of one of center-strut elements 39 may change along the length of center-strut element 39. One or more struts 38 of body 35 may include a center-strut element 39, which may have a different shape than a center-strut element 39 of another one of struts 38. In FIG. 3, the shape of the cross-section of center-strut element 39 may be circular, such that center-strut element 39 may have a cylindrical shape, in which the axis of the cylindrical shape of a given center-strut element 39 may coincide with the associated strut 38. In FIG. 3, struts 38 include center-strut element 39, having substantially the same shape. A center-strut element may enhance structural integrity and/or serve other purposes.
FIG. 4 illustrates an isometric view of an exemplary body 35 including two intertwined helically wound runners—runner 36 and runner 37—sharing the same circular axis, both runners coupled by struts 38. Note that, as in FIG. 3, the struts of body 35 in FIG. 4 may include a center-strut element 39, which may be lacking from struts 18 of body 15.
FIG. 5 illustrates a top-down view of an exemplary body 55 including two intertwined helically wound runners—runner 57 and runner 58—sharing the same circular axis 62 and having wire guides 56, both runners coupled by struts 59. Though the shape of the cross-section of runner 57 and runner 58 in FIG. 5 may be circular, a runner may still have an inner surface (the half of the surface of a runner for which normal vectors are directed approximately inward toward body 55) and an outer surface (the half of the surface of a runner for which normal vectors are directed approximately outward, away from body 55). Any part of runner 57 or runner 58 may include wire guides 56. Wire guides 56 may include grooves, notches, protrusions, slots, and/or other structural elements disposed on and/or in runner 57 or runner 58 and configured to guide a wire along at least a part of the surface of runner 57 or runner 58, generally in a direction substantially perpendicular to the direction of runner 57 or runner 58 at the point of engagement between one of wire guides 56 and runner 57 or runner 58.
In FIG. 5, one of wire guides 56 of runner 58 may include a protrusion disposed on the outer surface of runner 58, arranged such that wire guide 56 may guide a wire arranged in a helical shape around runner 58, wherein the helical shape has an axis that coincides with runner 58. Such a wire, as any wire listed in any figure included in this description, may be insulated, uninsulated, or partially insulated and partially uninsulated. As shown in FIG. 5, wire guides 56 may be disposed in an intermittent pattern rather than a continuous pattern, e.g. such that no protrusion is disposed on the surface of runner 57 or runner 58 approximately nearest to (or directly opposite to) one of points of engagement 63 between runner 57 or runner 58 and of one struts 59. The number of wire guides per complete revolution of a runner and/or the number of wire guides between adjacent struts may be characteristic measurements/features of body 55. The size, shape, position, and/or pattern of disposition of wire guides 56 may be characteristic measurements/features of body 55.
FIG. 6 illustrates an isometric view of an exemplary body 55 including two intertwined helically wound runners—runner 57 and runner 58—sharing the same circular axis and having wire guides 56, both runners coupled by struts 59.
FIG. 7 illustrates a top-down view of an exemplary body 75 including two intertwined helically wound runners—runner 76 and runner 77—sharing the same elliptical axis 78, both runner coupled by struts 79. A body including two (or more) intertwined helically wound runners sharing the same axis may be arranged in any planar shape, including a circle, an oval, a triangle, a square, a rectangle, an angular shape, a polygon, and/or other planar shapes. Alternatively, and/or simultaneously, such a body may be arranged in a three-dimensional curve (a.k.a. space curve). In FIG. 7, body 75 may be formed from a body similar to body 15, though comprising more revolutions, by arranging the body in a planar elliptical shape and joining both ends—end 20 and end 21 in FIG. 1—together. The preceding statement is not intended to limit the (process of) manufacture of bodies similar to or substantially the same as body 75 in any way.
FIG. 8 illustrates a top-down view of an exemplary body 85 including two intertwined helically wound runners—runner 88 and runner 89—sharing the same circular axis, coupled by struts 90 and having conductive wires—wire 86 and wire 87—spirally wound therearound to form coils. Wire 86 and wire 87, as any wire listed in any figure included in this description, may be insulated, uninsulated, or partially insulated and partially uninsulated. The shape of body 85 may be similar to the shape of body 35 in FIG. 3. Runner 88 and runner 89 of body 85 may form cores around which wire 86 and wire 87 are spirally wound, respectively. As such, wire 86 and wire 87 may be arranged in a helical shape having axes that coincide with runner 88 and runner 89, respectively. As shown in FIG. 8, wire 86 and 87 may be wound such that they go around any of struts 90 of body 85 and/or around any points of engagement between one of struts 90 and one of runners 88 and 89. The number of wire turns per complete revolution of a runner and/or the number of wire turns between adjacent struts may be characteristic measurements/features of body 85. In FIG. 8, wire 86 and wire 87 may be arranged to make approximately five turns between adjacent struts associated with runner 88 and runner 89, respectively, and/or some other number of turns. The windings of wire 86 and wire 87 around runner 88 and runner 89, respectively, are exemplary windings and are not intended to be limiting in any way. Different types of windings are contemplated. Using multiple conductive wires per runner is contemplated.
Wire 86 may include two leads—lead 86a and lead 86b. Wire 87 may include two leads—lead 87a and lead 87b. Wire 86 and wire 87 may be conductive. Body 85 may be used in an electrical system having one or more power sources and/or current sources arranged such that electrical coupling with one or both of wire 86 and wire 87 may be established, e.g. through coupling with lead 86a and 86b of wire 86 and through coupling with lead 87a and 87b of wire 87. The current supplied to wire 86 may be a direct current or an alternating current. The current supplied to wire 87 may be a direct current or an alternating current. The currents supplied to wire 86 and wire 87 may flow in the same direction or the opposite direction. For alternating currents, operating frequencies ranging from 0 Hz to 100 GHz are contemplated. The operating frequencies for wire 86 and wire 87 may be the same or different. Other electrical operating characteristics of current supplied to wire 86 and wire 87, such as phase, may be the same or different. The electrical system may be used to exploit the electromagnetic field that is created when electrical power is supplied to one or more wires of body 85.
Some embodiments of an electrical system including a body similar to or substantially the same as body 85 in FIG. 8, thus including wire 86 and wire 87, may be configured to have a current in wire 86 flowing in the opposite direction as the current in wire 87. In some embodiments the current supplied to one wire may be a direct current, whereas the current supplied to another wire may be an alternating current.
FIG. 9 illustrates a top-down view of an exemplary body 95 including two intertwined helically wound runners—runner 97 and runner 98—sharing the same circular axis, both runner coupled by struts and having a wire 96 spirally wound around both runners of body 95. Wire 96, as any wire listed in any figure included in this description, may be insulated, uninsulated, or partially insulated and partially uninsulated. Wire 96 may include two leads—lead 86a and lead 86b. The resulting shape of body 95 with wire 96 may be referred to as a helicoidal shape. Wire 96 may be conductive. Body 95 may be used in an electrical system having a power source and/or a current source arranged such that electrical coupling with wire 96, e.g. through leads 96a and 96b, may be established. The electrical power supplied to wire 96 may include a direct current or an alternating current. Operating frequencies for an alternating current flowing through wire 96 are contemplated to range from 0 Hz to 100 GHz. The electrical system may be used to exploit the electromagnetic field that is created when electrical power is supplied to wire 96 of body 95.
FIGS. 10A-D illustrate various different windings to spirally wind one or more wires around a runner in accordance with exemplary embodiments. As depicted in FIGS. 10A-D, various different windings are illustrated for a runner 88, which may be similar to or substantially the same as runner 88 depicted in FIG. 8. As depicted in FIGS. 10A-D, the side view of runner 88 may appear to indicate that runner 88 is shaped in a straight line, from runner end 88a on the left to runner end 88b on the right in each of the FIGS. 10A-D. This is merely for illustrative purposes and is not intended to be limiting in any way. The shape of runner 88 may have any of the shapes described herein for runners, including a helically wound runner that is arranged in a toroidal shape such that the ultimate runner end 88a may meet and/or coincide with the ultimate runner end 88b. The use of runner 88 is not intended to be limiting in any way. The various windings described herein may be applied to any runner described herein, and thus be included in any body described herein.
FIG. 10A illustrates a bifilar winding of wire 11 around runner 88. Wire 11 has two leads, labeled a and b.
FIG. 10B illustrates a winding of wire 12 and wire 13 around runner 88. Wire 12 has two leads, labeled a and c. Wire 13 has two leads, labeled b and d. The winding depicted in FIG. 10B may correspond to different types of coils around runner 88, and/or different directions for currents running through wire 12 and wire 13, and thus different resulting electromagnetic fields once the one or more windings in FIG. 10B are used in electrical systems described herein. Different types of coils may correspond to different connections between the leads of wire 12 and wire 13. For example, by connecting lead c of wire 12 to lead d of wire 13, the windings depicted in FIG. 10B form a bifilar coil around runner 88 that is similar the bifilar coil depicted in FIG. 10A. Referring to FIG. 10B, all permutations of coupling the leads of wire 12 and the leads of wire 13 are contemplated.
FIG. 10C illustrates a caduceus winding of wire 12 and wire 13 around runner 88. Wire 12 has two leads, labeled a and c. Wire 13 has two leads, labeled b and d. The winding depicted in FIG. 10C may correspond to different types of coils around runner 88, and/or different directions for currents running through wire 12 and wire 13, and thus different resulting electromagnetic fields once the one or more windings in FIG. 10C are used in electrical systems described herein. Different types of coils may correspond to different connections between the leads of wire 12 and wire 13. For example, by connecting lead c of wire 12 to lead d of wire 13, the windings depicted in FIG. 10C form a caduceus coil around runner 88. All permutations of coupling the leads of wire 12 and the leads of wire 13 are contemplated, as well as all directions for currents running through wire 12 and wire 13.
FIG. 10D illustrates a double bifilar winding of wire 12 and wire 13 around runner 88. Wire 12 has two leads, labeled a and b. Wire 13 has two leads, labeled c and d. Though the windings of wire 12 and wire 13 are depicted in FIG. 10D as being wound from runner end 88a to runner end 88b, this is not intended to be limiting in any way. It is contemplated that wire 12 and wire 13 are wound in different directions around runner 88. For example, when runner 88 is arranged in a toroidal shape, wire 12 and wire 13 may be wound clockwise and counter-clockwise. By way of non-limiting example (and not depicted in FIG. 10D), leads c and d of wire 13 may be disposed near runner end 88b such that wire 13 is wound from runner end 88b to runner end 88a. 
The winding of wire 12 in FIG. 10D may be similar to the bifilar winding of wire 11 depicted in FIG. 10A. Referring to FIG. 10D, the winding of wire 13 may be similar to the bifilar winding of wire 11 depicted in FIG. 10A. Referring to FIG. 10D, the windings depicted in FIG. 10D may correspond to different types of coils around runner 88, and thus different resulting electromagnetic fields once the one or more windings in FIG. 10D are used in electrical systems described herein. Different types of coils may correspond to different connections between the leads of wire 12 and wire 13. All permutations of coupling the leads of wire 12 and the leads of wire 13 are contemplated, as well as all directions for currents running through wire 12 and wire 13. Additional windings include an Ayrton-Perry winding, a trifilar winding, windings of braided wires, windings around a runner and (part of) one or more struts, and/or other types of windings.
In some embodiments, a wire may be wound around a particular runner from a first strut to a second adjacent strut (such that these and other struts connect the particular runner to a second runner), subsequently wound around one of the struts, e.g. from the particular runner down to the center of a strut, before proceeding back up to the particular runner to continue being wound around the particular runner in the same direction towards a third strut that is adjacent to the second strut, and so on. In other words, the wire may be alternately wound around a segment of the particular runner between (adjacent) struts and around a strut, for all or part of the body that includes the runner. Additionally, a second wire may be similarly wound around the second runner and around the same struts that connect the particular runner to the second runner. By winding the second wire up to the center of a strut (or up to the winding of the wire carried by the particular runner described above), the second wire may stay clear of the wire carried by the particular runner. When winding wires around both runners and the connecting struts, the direction of the wires wound around the struts may be the same or opposite.
By way of illustration, FIG. 11 illustrates a winding that spirally winds wire 87 around runner 88 and around struts 91 and 92 in accordance with exemplary embodiments, as described above. Only a segment of runner 88 and runner 89 is depicted in FIG. 11, as indicated by the dashed continuation lines. The number of revolutions between struts in FIG. 11 is exemplary and not intended to be limiting in any way. The number of revolutions around a strut in FIG. 11 is exemplary and not intended to be limiting in any way. The number or fraction of struts 90 used to wind wire 87 around as depicted in FIG. 11 is exemplary and not intended to be limiting in any way. For example, wire 87 may be wound around every strut that is included in a body. As depicted in FIG. 11, wire 87 is wound up to the approximate center of struts 91 and 92. Note that a second wire may be similarly wound around runner 89 and down to the approximate center of struts 91 and 92, and/or other struts in struts 90 (this is not depicted in FIG. 11), as described above.
Any of the bodies and windings shown in FIGS. 1-10 and/or described herein may be used in an electrical system. Conductive wires may be spirally wound around one or more runners, one or more struts, and/or any combination thereof to produce electrical systems having specific electromagnetic properties when electrical power is supplied to one or more of the conductive wires. These conductive wires may be insulated, uninsulated, or partially insulated and partially uninsulated. A (magnetic) core may be disposed in the space between multiple runners, such that the runners helically wound around the (magnetic) core. Alternatively, and/or simultaneously, relative to any body described herein, a (magnetic) core may be moved along a straight line, along any curve of the body, along a strut, along a runner, along any axis of the body, or along any surface of the body, in any three-dimensional relation to the body. For example, a magnet may be moved along a line perpendicular to the planar shape of body 85, in the center of the circular axis of body 85, a.k.a. through the “donut-hole.”
In some embodiments, electrical systems as described herein may include one or more resistive elements that are electrically coupled to one or more conductive wires that form a coil. By way of non-limiting example, a resistive element may be a resistor. The electrical characteristics of the one or more resistive elements may be chosen such that the impedance of the one or more conductive wires combined with the impedance of the one or more resistive elements substantially matches a predetermined value.
In some embodiments, the predetermined value for impedance matching substantially may be the nominal impedance of a current source. By way of non-limiting example, an electrical system using body 85, as depicted in FIG. 8, and having bifilar windings, as depicted in FIG. 10A, around both runners such that conductive wire 86 is electrically coupled to conductive wire 87, may have a particular exemplary nominal impedance. One or more resistive elements may be electrically coupled to conductive wire 86 and/or conductive wire 87 such that the combined nominal impedance matches a predetermined value, such as, e.g., 4 ohms, 8 ohms, 16 ohms, 32 ohms, 100 ohms, 600 ohms, and/or another predetermined value. For example, the particular exemplary impedance may be 4.7 ohms. A 3.3 ohm resistor may be added serially to this electrical system, such that this electrical system now matches an 8 ohms impedance of a current source.
Applications for any of the electrical systems described herein may include affecting growth and/or growth rate of plants and/or other organisms. Applications for any of the electrical systems described herein may include therapeutic applications. Applications for any of the electrical systems described herein may include energy production, conversion, and/or transformation. Applications for any of the electrical systems described herein may include ATP production, transfer, and/or processing.
In some embodiments, an electrical system including any of the bodies and windings shown in FIGS. 1-10 may be used as a component in an electrical circuit, performing one or more functions and/or applications including a (tunable) inductor, a (Tesla) coil, a transformer, a transducer, a transistor, a resistor, a solenoid, a stator for an electrical motor, an electromagnet, an electromagnetic pulse generator, an electromagnetic actuator, an energy conversion device, a position servomechanism, a generator, a stepping motor, a DC motor, a (contact-free) linear drive, an axial flux device, a measurement device for magnetic permeability, a dipole magnet, and a device to alter electron and/or particle trajectory.
Although the invention has been described in detail for the purpose of illustration based on what is currently considered to be the most practical and preferred embodiments, it is to be understood that such detail is solely for that purpose and that the invention is not limited to the disclosed embodiments, but, on the contrary, is intended to cover modifications and equivalent arrangements that are within the spirit and scope of the appended claims. For example, it is to be understood that the present invention contemplates that, to the extent possible, one or more features of any embodiment can be combined with one or more features of any other embodiment.

## Claims

1. An electrical system comprising:
a body including two intertwined helically wound runners, wherein a first runner is coupled to a second runner by struts, wherein the body is arranged in a toroidal shape;
a first conductive wire, wherein the first conductive wire is spirally wound to form a coil around at least a part of the first runner such that the first conductive wire is arranged in a helical shape having an axis that coincides with the first runner; and
a second conductive wire spirally wound around at least part of the second runner, wherein the second conductive wire is spirally wound to form a second bifilar coil around at least part of the second runner.

2. The electrical system of claim 1, wherein the coil is a bifilar coil.

3. The electrical system of claim 1, wherein the coil is a caduceus coil.

4. The electrical system of claim 1, wherein the coil has an Ayrton-Perry winding.

5. The electrical system of claim 1, wherein the first conductive wire is spirally wound to form a bifilar coil around at least part of two runners.

6. The electrical system of claim 1, wherein the struts do not conduct electricity between the first runner and the second runner.

7. The electrical system of claim 1, wherein an outward surface of at least one runner comprises structural elements arranged to guide the first conductive wire.

8. The electrical system of claim 1, further comprising:
an alternating current source arranged to electrically couple with the first conductive wire, wherein the alternating current source operates between 0 Hz and 100 GHz.

9. The electrical system of claim 1, wherein the runners are arranged in between 2 and 10000 revolutions in the body.

10. The electrical system of claim 1, wherein the runners are coupled with between 2 and 100 struts per revolution.

11. The electrical system of claim 1, wherein the struts have a length between 1 nm and 1 m.

12. The electrical system of claim 1, wherein the first conductive wire is spirally wound such that the first conductive wire revolves around at least one runner between 2 and 10000 times per revolution.

13. The electrical system of claim 1, wherein the surface of the runners is conductive.

14. The electrical system of claim 1, wherein at least one runner comprises magnetic properties.

15. The electrical system of claim 1, wherein the planar shape of the body is one of a circle, an oval, a triangle, a square, an angular shape, or a polygon.

16. The electrical system of claim 1, further comprising a protective cover around the body, wherein the cover comprises a toroidal shape.

17. The electrical system of claim 1, wherein revolutions of the runners comprise a varying diameter along the body.

18. The electrical system of claim 1, further comprising:
two leads of the first conductive wire configured to be electrically coupled to a current source to receive a first current through the first conductive wire;
two leads of the second conductive wire configured to be electrically coupled to the current source to receive a second current through the second conductive wire; and
the current source configured such that the first current and the second current are alternating currents,
wherein the first conductive wire and the second conductive wire are electrically coupled.

19. The electrical system of claim 18, further comprising one or more resistive elements that are electrically coupled to one or both of the first conductive wire and/or the second conductive wire such that a nominal impedance of the first conductive wire, the second conductive wire, and the one or more resistive elements has a predetermined value.

20. The electrical system of claim 19, wherein the predetermined value of the nominal impedance substantially matches an impedance of the current source.

21. The electrical system of claim 19, wherein the predetermined value of the nominal impedance is about 8 ohms.

22. The electrical system of claim 18, wherein the alternating currents have frequencies substantially between 0 Hz and 30 KHz.

23. An electrical system comprising:
a body including two intertwined helically wound runners, wherein a first runner is coupled to a second runner by struts, wherein the body is arranged in a toroidal shape;
a first conductive wire, wherein the first conductive wire is spirally wound to form a coil around at least a part of the first runner such that the first conductive wire is arranged in a helical shape having an axis that coincides with the first runner; and
a second conductive wire spirally wound around at least part of the first runner, wherein the second conductive wire is spirally wound to form a second bifilar coil around at least part of the first runner.

24. The electrical system of claim 23, wherein the coil is a bifilar coil.

25. The electrical system of claim 23, wherein the coil is a caduceus coil.

26. The electrical system of claim 23, wherein the coil has an Ayrton-Perry winding.

27. The electrical system of claim 23, wherein the struts do not conduct electricity between the first runner and the second runner.

28. The electrical system of claim 23, wherein an outward surface of at least one runner comprises structural elements arranged to guide the first conductive wire.

29. The electrical system of claim 23, further comprising:
an alternating current source arranged to electrically couple with the first conductive wire, wherein the alternating current source operates between 0 Hz and 100 GHz.

30. The electrical system of claim 23, wherein the runners are arranged in between 2 and 10000 revolutions in the body.

31. The electrical system of claim 23, wherein the runners are coupled with between 2 and 100 struts per revolution.

32. The electrical system of claim 23, wherein the struts have a length between 1 nm and 1 m.

33. The electrical system of claim 23, wherein the first conductive wire is spirally wound such that the first conductive wire revolves around at least one runner between 2 and 10000 times per revolution.

34. The electrical system of claim 23, wherein the surface of the runners is conductive.

35. The electrical system of claim 23, wherein at least one runner comprises magnetic properties.

36. The electrical system of claim 23, wherein the planar shape of the body is one of a circle, an oval, a triangle, a square, an angular shape, or a polygon.

37. The electrical system of claim 23, further comprising a protective cover around the body, wherein the cover comprises a toroidal shape.

38. The electrical system of claim 23, wherein revolutions of the runners comprise a varying diameter along the body.

39. The electrical system of claim 23, further comprising:
two leads of the first conductive wire configured to be electrically coupled to a current source to receive a first current through the first conductive wire;
two leads of the second conductive wire configured to be electrically coupled to the current source to receive a second current through the second conductive wire; and
the current source configured such that the first current and the second current are alternating currents,
wherein the first conductive wire and the second conductive wire are electrically coupled.

40. The electrical system of claim 39, further comprising one or more resistive elements that are electrically coupled to one or both of the first conductive wire and/or the second conductive wire such that a nominal impedance of the first conductive wire, the second conductive wire, and the one or more resistive elements has a predetermined value.

41. The electrical system of claim 40, wherein the predetermined value of the nominal impedance substantially matches an impedance of the current source.

42. The electrical system of claim 40, wherein the predetermined value of the nominal impedance is about 8 ohms.

43. The electrical system of claim 39, wherein the alternating currents have frequencies substantially between 0 Hz and 30 KHz.

44. An electrical system comprising:
a body including two intertwined helically wound runners arranged in at least two complete revolutions per runner, wherein a first runner is coupled to a second runner by struts, wherein the body is arranged in a toroidal shape having a centroid; and wherein the struts do not conduct electricity between the first runner and the second runner;
a first conductive wire spirally wound using a first predetermined winding around at least part of the first runner of the body such that the first conductive wire is arranged in a helical shape having an axis that coincides with the first runner;
a second conductive wire spirally wound using a second predetermined winding around at least part of the second runner of the body such that the second conductive wire is arranged in a helical shape having an axis that coincides with the second runner;
two leads of the first conductive wire configured to be electrically coupled to a current source to receive a first current such that an electromagnetic field is created at or near the centroid; and
two leads of the second conductive wire configured to be electrically coupled to the current source to receive a second current such that the electromagnetic field is modified.

45. The electrical system of claim 44, further comprising the current source, wherein the current source supplies a first alternating current to the first conductive wire and a second alternating current to the second conductive wire.

46. The electrical system of claim 44, wherein one or both of the first predetermined winding and the second predetermined winding are bifilar windings.

47. The electrical system of claim 44, wherein one or both of the first predetermined winding and the second predetermined winding are caduceus windings.

48. The electrical system of 44, further comprising:
a third conductive wire spirally wound using a third predetermined winding around the first runner of the body such that the third conductive wire is arranged in a helical shape having an axis that coincides with the first runner;
two leads of the third conductive wire configured to be electrically coupled to the current source to receive a third current such that the electromagnetic field is modified;
a fourth conductive wire spirally wound using a fourth predetermined winding around the second runner of the body such that the fourth conductive wire is arranged in a helical shape having an axis that coincides with the second runner; and
two leads of the fourth conductive wire configured to be electrically coupled to the current source to receive a fourth current such that the electromagnetic field is modified.

49. The electrical system of claim 48, wherein the first predetermined winding and the third predetermined winding are bifilar windings in opposite directions, wherein the second predetermined winding and the fourth predetermined winding are bifilar windings in opposite directions.

50. The electrical system of claim 48, wherein the first predetermined winding and the third predetermined winding are caduceus windings in opposite directions, wherein the second predetermined winding and the fourth predetermined winding are caduceus windings in opposite directions.