For a series ac circuit consisting of a resistance of $13.0 \mathrm { k } \Omega$, a capacitance of $7.0 \mu \mathrm { F }$, and an inductance of $35.0 \mathrm { H }$, what frequency is needed to minimize the impedance if the voltage amplitude is $110 \mathrm {~V}$ ?
A) $0.064 \mathrm { kHz }$
B) $12 \mathrm { kHz }$
C) $0.010 \mathrm { kHz }$
D) $2.1 \mathrm { kHz }$

Question

Quizplus · Accepted Answer

The impedance is minimized at the resonant frequency, which is given by $ f = \frac{1}{2\pi\sqrt{LC}} $. Substituting $ L = 35.0 \mathrm{H} $ and $ C = 7.0 \mu \mathrm{F} $, we find $ f \approx 0.010 \mathrm{kHz} $.

For a Series Ac Circuit Consisting of a Resistance Of 13.0