Question

in the circuit shown the readings of voltmeter V1 V2 and V3 at resonance are given by

Answer 1

Since it is resonating frequency V2=0
Then
V1=V3=E0

Answer 2

The readings of $V_1$ and $V_3$ will be $V_o/\sqrt{2}$ and the reading of $V_2$ will be 0.

• Resonance in a series RLC circuit is the condition in which a circuit will have the maximum current flowing through it.
• In this condition the voltages across the inductor and the capacitor become equal but since they are out of phase they cancel out each other.
• So, the net voltage remains across the resistor only which is the same as the input voltage.
• The reading which we will see is the RMS value of the voltage i.e. $V_o/\sqrt{2}$.