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Chapter 28: Problem 10
The applied voltage in a series \(R L C\) circuit lags the current. Is the frequency above or below resonance?
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A series \(R L C\) circuit has power factor 0.764 and impedance \(182 \Omega\) at \(442 \mathrm{Hz}\). (a) What's the resistance? (b) If the inductance is \(25.0 \mathrm{mH},\) what's the resonant frequency?
One-eighth of a cycle after the capacitor in an \(L C\) circuit is fully charged, what are the following as fractions of their peak values: (a) capacitor charge, (b) energy in the capacitor, (c) inductor current, (d) energy in the inductor?
An RLC circuit includes a \(1.5-\mathrm{H}\) inductor and a \(250-\mu \mathrm{F}\) capacitor rated at 400 V. The circuit is connected across a sine-wave generator with \(V_{\mathrm{p}}=32 \mathrm{V} .\) What minimum resistance will ensure that the capacitor voltage does not exceed its rated value when the circuit is at resonance?$$\begin{array}{|l|c|c|c|c|c|c|}\hline \text { Frequency }(\mathrm{Hz}) & 150 & 200 & 230 & 280 & 350 & 400 \\\\\hline \text { Impedance }(\Omega) & 320 & 140 & 74 & 77 & 190 & 280 \\\\\hline\end{array}$$
A \(0.75-\) H inductor is in series with a fluorescent lamp, and the combination is across \(120-\mathrm{V}\) rms, \(60-\mathrm{Hz}\) power. If the rms inductor voltage is \(90 \mathrm{V},\) what's the rms lamp current?
Find the reactance of a 3.3 - \(\mu\) F capacitor at (a) \(60 \mathrm{Hz},\) (b) \(1.0 \mathrm{kHz}\) and (c) \(20 \mathrm{kHz}\)
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