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 ω_A, ω_B and ω_C is correct? A) ω_C ω_A = ω_B B) ω_C

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 ω_A, ω_B and ω_C is correct? A) ω_C > ω_A = ω_B B) ω_C < ω_A = ω_B C) ω_A = ω_B = ω_C D) ω_B < ω_A = ω_C E) ω_B > ω_A = ω_C

Quizplus · Accepted Answer

The angular resonance frequency of a series RLC circuit can be calculated using the formula ω = 1/√(LC). Since all three circuits have the same values of R, C, and L (assuming the inductors in (B) and (C) add like resistors), their resonance frequencies are the same. Therefore, ω_A = ω_B = ω_C, and the correct answer is C.

All Three Circuits Below Have R = 100 Ω, C