An LC series circuit with an inductance L and a capacitance C has an oscillation frequency f. Two inductors, each with inductance L, and two capacitors, each with capacitance C, are all wired in series and the circuit is completed. The oscillation frequency is:
A) f/4
B) f/2
C) f
D) 2f
E) 4f

Question

Quizplus · Accepted Answer

The oscillation frequency of an LC circuit is given by f = 1/(2π√LC). When two inductors and two capacitors are connected in series, the equivalent inductance becomes 2L and the equivalent capacitance becomes C/2. Therefore, the new oscillation frequency becomes f' = 1/(2π√(2L)(C/2)) = f.

An LC Series Circuit with an Inductance L and a Capacitance