All three circuits below have R = 100 Ω, C = 1.0 mF, and emf ε = (5.0 V) sin (377 t). The inductors in (B) and (C) are placed sufficiently far apart so that they do not alter one another's inductance. Such inductors add combine like resistors. Which statement regarding the angular resonance frequencies ωA, ωB, and ωC is correct?

Question

All three circuits below have R = 100 Ω, C = 1.0 mF, and emf ε = (5.0 V) sin (377 t). The inductors in (B) and (C) are placed sufficiently far apart so that they do not alter one another's inductance. Such inductors add combine like resistors. Which statement regarding the angular resonance frequencies ωA, ωB, and ωC is correct? ​  ​

Quizplus · Accepted Answer

The angular resonance frequency of an RLC circuit is given by ω = 1/√(LC), which does not depend on the emf. Therefore, all three circuits have the same resonance frequency because they have the same R, L, and C values. Hence, ωA = ωB = ωC.

All Three Circuits Below Have R = 100 Ω, C