In the series LCR circuit shown, voltmeters V₁ and V₂ across the inductor and capacitor each read 300 V. Source voltage is 220 V (50 Hz), and resistance is 100 Ω. What are the reading of voltmeter V₃ across the resistor and of ammeter A? [Image]
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Question

In the series LCR circuit shown, voltmeters V₁ and V₂ across the inductor and capacitor each read 300 V. Source voltage is 220 V (50 Hz), and resistance is 100 Ω. What are the reading of voltmeter V₃ across the resistor and of ammeter A? [Image]

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G1 Physics · Accepted Answer

Step 1: In a series LCR circuit, inductor and capacitor voltages are opposite along the reactive axis of the phasor diagram. Step 2: Both V_L and V_C are 300 V; hence net reactive voltage V_L−V_C=0 V. Step 3: The applied 220 V then equals the voltage across the resistor alone: V_R=220 V. Step 4: Series current I=V_R/R=220/100=2.2 A. Final answer: (B) 220 V, 2.2 A.