First slide

Electrical Resonance series circuit

Question

In the given LCR circuit, what will be the respective readings of voltmeter and ammeter?

Moderate

A

400 V, 2 A
B

800 V, 2 A
C

100 V, 2 A
D

100 V, 4 A

Solution

At resonance, voltage across inductor and capacitor is the same at any instant but exactly out of phase. So they mutually cancel out each other and give the effective voltage 0 In the given circuit, V_L = V_C, The circuit is in resonance. The supply voltage, Vrms = 100 V Voltmeter reading will be 100 V.
$\begin{aligned} V_{rms} = IR \\ \Rightarrow I = \frac{V_{rms}}{R} \\ = \frac{100}{50} \\ = 2 A \end{aligned}$
Ammeter reading will be 2 A

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