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Chapter 28: Problem 1
Two AC signals have the same amplitude but different frequencies. Are their rms amplitudes the same?
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An electric water heater draws \(20 \mathrm{A}\) rms at \(240 \mathrm{V}\) rms and is purely resistive. An AC motor has the same current and voltage, but inductance causes the voltage to lead the current by \(20^{\circ} .\) Find the power consumption in each device.
Find the reactance of a \(3.3-\mu \mathrm{F}\) capacitor at (a) \(60 \mathrm{Hz},\) (b) \(1.0 \mathrm{kHz}\) and (c) \(20 \mathrm{kHz}\)
An AC voltage of fixed amplitude is applied across a series \(R L C\) circuit. The components are such that the current at half the resonant frequency is half the current at resonance. Show that the current at twice the resonant frequency is also half the current at resonance.
An LC circuit includes a \(0.025-\mu \mathrm{F}\) capacitor and a \(340-\mu \mathrm{H}\) inductor. (a) If the peak capacitor voltage is \(190 \mathrm{V},\) what's the peak inductor current? (b) How long after the voltage peak does the current peak occur?
Resonance is a phenomenon which occurs in RLC circuit, during which impedance due to capacitor and inductor become equal and peak current is achieved in the circuit. At resonance the impedance of the circuit is lowest and equal to the resistance in the circuit The value of peak current / is given as follows: \(I=\frac{V}{r}\) Here, \(V\) is voltage in RLC circuit and \(r\) is resistance in the circuit.
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