One or more options correct
A series circuit has , and , connected to a variable-frequency source of rms voltage . Choose the correct statement(s).
- A. The quality factor of the circuit is .
- B. At resonance, the rms voltage across the capacitor is .
- C. At resonance, the average power dissipated is .
- D. At an angular frequency of the current leads the source voltage.
Show answer and solution
Answer: A
Resonance occurs at . The quality factor is ; A is true. At resonance the impedance equals , so and the capacitor voltage is , ten times the source voltage (the factor ); B is false. The power is , not ; C is false. At , and , so the net reactance is inductive, the current lags the voltage, and D is false. Only statement A holds, so the answer is option A alone. The key physical point is that at resonance the reactive voltages are times the source voltage but cancel each other in the total.
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