You connect a 100-Ω resistor, a 800-mH inductor, and a 10.0-μF capacitor in series across a 60.0-Hz, 120-V peak) source. The approximate resonant frequency of your circuit is
A) 354 Hz.
B) 60 Hz.
C) 56 Hz.
D) 37 Hz.
E) none of these is correct.

Question

Quizplus · Accepted Answer

The resonant frequency of an RLC series circuit can be calculated as:
fr = 1/2π√(LC)
where L is the inductance, C is the capacitance, and π is approximately 3.14.

Plugging in the given values:
L = 800 mH = 0.8 H
C = 10.0 μF = 10^-5 F
fr = 1/2π√(0.8 H × 10^-5 F)
fr ≈ 56 Hz

Therefore, the resonant frequency of the given circuit is approximately 56 Hz (option C).

You Connect a 100-Ω Resistor, a 800-MH Inductor, and a 10.0-μF