A 5.00-$\mu$F capacitor was fully charged by being connected to a 12.0-V battery.The fully charged capacitor is then connected to an RL series combination with R = 72.0 $\varOmega$ and L= 0.500 H.Calculate the frequency of the damped oscillation of the circuit. A)1.00 * 10² Hz B)1.50 * 10² Hz C)2.00 * 10² Hz D)2.50 * 10² Hz E)3.00 * 10² Hz

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Quizplus · Accepted Answer

The frequency of the damped oscillation of the circuit is given by:$$f = \frac{1}{2\pi}\sqrt{\frac{1}{LC} - \frac{R^2}{4L^2}}$$Plugging in the given values, we get:$$f = \frac{1}{2\pi}\sqrt{\frac{1}{(5.00	imes10^{-6}	ext{ F})(0.500	ext{ H})} - \frac{(72.0\Omega)^2}{4(0.500	ext{ H})^2}}$$$$f = 1.00	imes10^2	ext{ Hz}$$Therefore, the correct answer is A.

A 500- μ\muμ F Capacitor Was Fully Charged by Being Connected to a Connected

A 500- $\mu$ F Capacitor Was Fully Charged by Being Connected to a Connected