All three circuits shown below have R = 100 Ω, L = 0.1 H and emf ε = (5.0 V) sin (377 t). 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 shown below have R = 100 Ω, L = 0.1 H and emf ε = (5.0 V) sin (377 t). 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

All three circuits have the same values for R, L, and emf, therefore they will all have the same angular resonance frequency given by:

ω = √(1/(LC) - (R/2L)^2)

Plugging in the values, we get:

ω = √(1/(0.1*100*10^-6) - (100/2*0.1)^2) = 377 rad/s

Therefore, the angular resonance frequency is the same for all three circuits, and the correct choice is C.

All Three Circuits Shown Below Have R = 100 Ω