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NEET PHYSICSMedium

The voltage reading on the voltmeter V in the circuit shown below will be:

A

zero

B

100 V

C

200 V

D

300 V

Step-by-Step Solution

In an AC series LCR circuit, the voltages across the components are not added algebraically but vectorially using phasors. The net voltage VV is given by V=VR2+(VLVC)2V = \sqrt{V_R^2 + (V_L - V_C)^2} . If the circuit is at resonance (or if the voltmeter is measuring the source voltage which appears entirely across the resistor because VLV_L and VCV_C cancel each other out), the reading corresponds to VRV_R. Since VLV_L and VCV_C are 180180^\circ out of phase, their effects cancel when their magnitudes are equal. The voltmeter reads the RMS value . Assuming the standard resonant condition where the source voltage is 300 V, the reading across the resistor is 300 V.

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