A circuit contains two inductors of 6.0 mH inductance in series placed in parallel with an inductor of 8.0 mH inductance. After one of the 6.0 mH inductors burns out, the repair person wants to replace all three inductors with one inductor of equivalent inductance. Assuming inductors combine in series and parallel the same way resistors do, what inductance should she use?
A) 3.0 mH
B) 3.4 mH
C) 4.8 mH
D) 11 mH
E) 20 mH

Question

Quizplus · Accepted Answer

The two 6.0 mH inductors in series have a combined inductance of 12.0 mH. This 12.0 mH is in parallel with the 8.0 mH inductor. The equivalent inductance for inductors in parallel is given by 1/L_eq = 1/L1 + 1/L2. So, 1/L_eq = 1/12 + 1/8, which gives L_eq = 4.8 mH.

A Circuit Contains Two Inductors of 6