Question

An ideal resistance $R$, ideal inductance $L$, ideal capacitance $C$ and AC volt meters $V_1,V_2,V_3$ and $V_4$ are connected to an AC source as shown. At resonance,

• A. Reading in $V_3=$ reading in $V_1$
• B. Reading in $V_1=$ reading in $V_2$
• C. Reading in $V_2=$ reading in $V_4$
• D. Reading in $V_2=$ reading in $V_3$

Answer 1

The correct option is D Reading in $V_2=$ reading in $V_3$

In an AC series RLC circuit at resonance, voltage across the inductor and capacitor are equal and opposite in phase. Overall voltage across the circuit is equal to the voltage across the resistor. Hence,

$V_2=V_3$ and $V_1=V_4$

Note - Voltmeters used here are AC voltmeters. DC voltmeters will all point to 0.