An ideal resistance R,ideal inductance L,idea | vedclass

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(A) In the given circuit,$V_{1}$ measures the voltage across the resistor $R$,$V_{2}$ measures the voltage across the inductor $L$,and $V_{3}$ measure

Vedclass · Accepted Answer

reading in $V_{2} =$ reading in $V_{3}$

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(A) In the given circuit,$V_{1}$ measures the voltage across the resistor $R$,$V_{2}$ measures the voltage across the inductor $L$,and $V_{3}$ measures the voltage across the capacitor $C$.At resonance,the inductive reactance $X_{L}$ is equal to the capacitive reactance $X_{C}$ $(X_{L} = X_{C})$.Since the same current $I$ flows through the series combination of $R, L,$ and $C$,the voltage across the inductor is $V_{L} = I X_{L}$ and the voltage across the capacitor is $V_{C} = I X_{C}$.Therefore,at resonance,$V_{L} = V_{C}$.Since $V_{2}$ measures $V_{L}$ and $V_{3}$ measures $V_{C}$,the readings of $V_{2}$ and $V_{3}$ are equal.

An ideal resistance $R$,ideal inductance $L$,ideal capacitance $C$,and $AC$ voltmeters $V_{1}, V_{2}, V_{3}$ and $V_{4}$ are connected to an $AC$ source as shown in the figure. At resonance,

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