An electromagnetic coil assembly for inducing electromagnetic fields inside a head region of a treated subject, the coil assembly comprising: a plurality of windings configured to define an applicatory coil portion configured for placement in close proximity to the head of the treated subject to induce the electromagnetic fields, and an elevated coil portion passing relatively remote from the head of the treated subject and configured such that electromagnetic fields thereby produced are generated substantially remote from the head of the treated subject to prevent them from interfering with the electromagnetic fields generated by the applicatory portion of the coil, thereby allowing directing the electromagnetic fields generated by the applicatory coil portion substantially accurately to desired inner regions of the head of the treated subject; a support structure configured to enclose and support at least a portion of said coil assembly; and an air gap formed with the support structure to maintain an open passage between said applicatory coil portion and said elevated coil portion, wherein said coil assembly comprising two domed-shaped coil structures electrically connected by an intermediate wire and configured to define a semi-spherical volume for fitting over a head region of a treated subject, said support structure is attached to superior sections of said two dome-shaped coil structures and configured to enclose and immobilize at least a portion of the plurality of windings of the coil, while enabling elastic movement of said two dome-shaped coil structures in sideway directions, to thereby enable size adjustment of the electromagnetic coil assembly to fit over the region of the head of the treated subject, and said air gap configured for streaming cooling media along or in-between windings of the applicatory coil portion. a plurality of windings configured to define an applicatory coil portion configured for placement in close proximity to the head of the treated subject to induce the electromagnetic fields, and an elevated coil portion passing relatively remote from the head of the treated subject and configured such that electromagnetic fields thereby produced are generated substantially remote from the head of the treated subject to prevent them from interfering with the electromagnetic fields generated by the applicatory portion of the coil, thereby allowing directing the electromagnetic fields generated by the applicatory coil portion substantially accurately to desired inner regions of the head of the treated subject; a support structure configured to enclose and support at least a portion of said coil assembly; and an air gap formed with the support structure to maintain an open passage between said applicatory coil portion and said elevated coil portion, wherein said coil assembly comprising two domed-shaped coil structures electrically connected by an intermediate wire and configured to define a semi-spherical volume for fitting over a head region of a treated subject, said support structure is attached to superior sections of said two dome-shaped coil structures and configured to enclose and immobilize at least a portion of the plurality of windings of the coil, while enabling elastic movement of said two dome-shaped coil structures in sideway directions, to thereby enable size adjustment of the electromagnetic coil assembly to fit over the region of the head of the treated subject, and said air gap configured for streaming cooling media along or in-between windings of the applicatory coil portion.