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Chapter 28: Problem 7
An inductor and capacitor are connected in series across an AC generator, and the voltage across the inductor is higher than across the capacitor. Is the generator frequency above or below resonance?
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A step-up transformer increases voltage, or energy per unit charge. Why doesn't this violate energy conservation?
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?
A 2.2 -nF capacitor and one of unknown capacitance are in parallel across a \(10-\mathrm{V}\) rms sine-wave generator. At \(1.0 \mathrm{kHz}\) the generator supplies a total current of \(3.4 \mathrm{mA}\) rms. The generator frequency is then decreased until the rms current drops to 1.2 mA. Find (a) the unknown capacitance and (b) the lower frequency.
A 15 - \(\mu\) F capacitor carries \(1.4 \mathrm{A}\) rms. What's its minimum safe voltage rating if the frequency is (a) \(60 \mathrm{Hz}\) and (b) \(1.0 \mathrm{kHz} ?\)
A car-battery charger runs off the \(120-\mathrm{V}\) rms AC power line and supplies \(10-\mathrm{A}\) DC at \(14 \mathrm{V}\). (a) If the charger is \(80 \%\) efficient in converting the line power to the DC power it supplies to the battery, how much current does it draw from the AC line? (b) If electricity costs \(9.5 \Varangle / \mathrm{kWh}\), how much does it cost to run the charger for 10 hours if the power factor is \(1 ?\)
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