The readings of the ammeter and voltmeter in | vedclass

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Question

(C) In the given $ LCR $ series circuit, the voltage across the inductor is $ V_L = 50 \, V $ and the voltage across the capacitor is $ V_C = 50 \, V

Vedclass · Accepted Answer

$ 2.2 \, A, 220 \, V $

Vedclass · Answer

(C) In the given $ LCR $ series circuit, the voltage across the inductor is $ V_L = 50 \, V $ and the voltage across the capacitor is $ V_C = 50 \, V $.Since $ V_L = V_C $, the circuit is in resonance.In a resonant $ LCR $ circuit, the net reactance is zero $( X_L - X_C = 0 )$, meaning the circuit behaves as a purely resistive circuit.Therefore, the entire source voltage drops across the resistor $ R $.Thus, the voltmeter reading is $ V_R = V_{source} = 220 \, V $.The current in the circuit is given by $ I = \frac{V_R}{R} = \frac{220 \, V}{100 \, \Omega} = 2.2 \, A $.Hence, the ammeter reading is $ 2.2 \, A $ and the voltmeter reading is $ 220 \, V $.

The readings of the ammeter and voltmeter in the following circuit are respectively:

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