일반물리학 2 — Induction and Inductance: Problem 50

50 Inductors in parallel. Two inductors \(L_1\) and \(L_2\) are connected in parallel and separated by a large distance so that the magnetic field of one cannot affect the other. (a) Show that the equivalent inductance is given by \(\frac{1}{L_{eq}} = \frac{1}{L_1} + \frac{1}{L_2}\). (Hint: Review the derivations for resistors in parallel and capacitors in parallel. Which is similar here?) (b) What is the generalization of (a) for \(N\) inductors in parallel?