Question

In the circuit shown in figure, neglecting source resistance, the voltmeter and ammeter readings will respectively be

• A. $0\text{V},3\text{A}$
• B. $150\text{V},3\text{A}$
• C. $150\text{V},6\text{A}$
• D. $0\text{V},8\text{A}$

Answer 1

The correct option is D $0\text{V},8\text{A}$

The voltage $V_L$ and $V_C$ are equal and opposite, hence the voltmeter reading will be zero.
Also, $R=30\Omega ,X_L=X_C=25\Omega$
$V_L=I{X}_L$; and $V_C=I{X}_C$
$\because I=$ constant and $X_L=X_C$
Therefore, $V_L=V_C$
$\therefore V_L-V_C=0$
Hence, $i=\frac{V}{\sqrt{R^2+(X_L-X_C{)}^2}}=\frac{V}{R}=\frac{240}{30}=8\text{A}$