At a frequency v1 the reactance of a certain capacitor equals that of a certain inductor. (a) If the frequency is changed to ω2 = 2ω1, what is the ratio of the reactance of the inductor to that of the capacitor? Which reactance is larger? (b) If the frequency is changed to ω3 = ω1/3, what is the ratio of the reactance of the inductor to that of the capacitor? Which reactance is larger? (c) If the capacitor and inductor are placed in series with a resistor of resistance R to form an L-R-C series circuit, what will be the resonance angular frequency of the circuit?
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