In the series L C R circuit as shown in the figure, the voltmeter V and ammeter A readings are

Question

In the series L C R circuit as shown in the figure, the voltmeter V and ammeter A readings are (A) V=100 V, I=2 A (B) V=100 V, I=5 A (C) V=400 V, I=2 A (D) V=300 V, I=2 A

Tardigrade Admin · Accepted Answer

As VL=VC ∴ XL=XC The circuit is resonance circuit. Current, I=(100/50)=2 A As V=√VR2+(VL-VC)2 ∴ 100=√VR2+0=VR or VR=100 V Hence, the reading of the voltmeter V is 100 V and the reading of ammeter A is 2 A.

Q. In the series $L CR$ circuit as shown in the figure, the voltmeter $V$ and ammeter $A$ readings are

V=100 V, I=2 A

V=100 V, I=5 A

V=400 V, I=2 A

V=300 V, I=2 A

As $V_{L} = V_{C}$
$∴ X_{L} = X_{C}$
The circuit is resonance circuit.
Current, $I = \frac{100}{50} = 2 A$
As $V = V_{R}^{2} + (V_{L} - V_{C})^{2}$
$∴ 100 = V_{R}^{2} + 0 = V_{R}$
or $V_{R} = 100 V$
Hence, the reading of the voltmeter $V$ is $100 V$ and the reading of ammeter $A$ is $2 A$ .

Q. In the series LCR circuit as shown in the figure, the voltmeter V and ammeter A readings are