What inductance is needed in series with a 4.7 μF capacitor for a resonant frequency of 10 kHz?
A) 22 μH
B) 54 μH
C) 0.66 μH
D) 5.3 mH

Name: What inductance is needed in series with a 4.7 μF capacitor for a resonant frequency of 10 kHz? A) 22 μH B) 54 μH C) 0.66 μH D) 5.3 mH
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Question

Quizplus · Accepted Answer

The resonant frequency of a series RLC circuit is given by:

f = 1/(2π√(LC))

Solving for L:

L = 1/(4π^2f^2C)

Substituting given values:

L = 1/(4π^2 * 10kHz^2 * 4.7μF) = 54μH

Therefore, choice B is the correct answer.

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