A 3.5 mH inductor and a 4.5 mH inductor are connected in series and a time varying current is established in them. When the total emf of the combination is 16 V, the emf of the larger inductor is:
A) 7.0 V
B) 9.0 V
C) 2.3 V
D) 28 V
E) 36 V

Question

Quizplus · Accepted Answer

The emf induced in an inductor is directly proportional to its inductance. In series, the total inductance is the sum of individual inductances (3.5 mH + 4.5 mH = 8 mH). The larger inductor (4.5 mH) will have a higher proportion of the total emf. The ratio of the inductance of the larger inductor to the total inductance is 4.5/8, and applying this ratio to the total emf (16 V) gives 4.5/8 * 16 V = 9 V.

A 35 MH Inductor and a 4