Electrical Engineering ⇒ Topic : Inductors in Parallel

Inductors in Parallel

Consider the circuit shown in Fig. (a) The current source i(t) is applied to circuit. Assume a voltage v(t) exists across the parallel combination and let the currents in L₁, L₂.............. L_N be i₁ (t), i₂(t).................... ,i_N(t) respectively.

                                                Figure (a)

Since the total current i_T is the sum of the branch currents

Therefore, the reciprocal of the equivalent inductance of any number of inductors in parallel is the sum of the reciprocals of the individual inductances