First slide

Electrical Resonance series circuit

Question

In a series RLC circuit a high impedance AC voltmeter is used to measure the voltages across the inductor, the capacitor and the resistor. It is observed that the voltmeter gives the same reading (in V) for each element. Find this reading if a 100 V (RMS) AC source is used to drive the circuit.

Moderate

A

100 V
B

141 V
C

150 V
D

200 V

Solution

Since, the voltage reading is same in each case which implies that the circuit is in resonance. So the total voltage in the circuit will be equal to the voltage given by the source.
$V_{R} = V_{L} = V_{C} = V$
The voltage reading will be equal to 100 V.

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