An LC circuit is driven by an AC source at what frequency if the inductor and capacitor have values of 1.5 mH and 22 nF,respectively,and if the rms voltage across each circuit element is half the supply rms voltage?
A)0.17 MHz
B)0.12 MHz
C)28 kHz
D)20 kHz

Question

Quizplus · Accepted Answer

The resonance frequency of an LC circuit can be calculated using the formula:

f = 1 / (2π√(LC))

Substituting L = 1.5 mH and C = 22 nF, we get:

f = 1 / (2π√(1.5x10^-3 x 22x10^-9))

f ≈ 28 kHz

Since the rms voltage across each element is half the supply voltage, we can infer that the impedance of the LC circuit is equal to the resistance of the circuit at resonance. Therefore, the voltage drops across the inductor and capacitor are equal and half the supply voltage.

Hence, option C is the correct answer.

An LC Circuit Is Driven by an AC Source at What