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 .