Original: In general, the relationship between the time-varying voltage v(t) across an inductor with inductance L and the time-varying current i(t) passing through it is described by the differential equation: When there is a sinusoidal alternating current (AC) through an inductor, a sinusoidal voltage is induced.
Simplified: In general, the relationship between the time-varying voltage v(t) across an inductor with inductance L and the time-varying current i(t) passing through it is described by the differential equation: How inductors are used Inductors are used often in analog circuits.