Question

In a series $LCR$ circuit the voltage across an inductor, capacitor and resistor are $20\,V$, $20\,V$ and $40\,V$ respectively. The phase difference between the applied voltage and the current in the circuit is

• A. $30^?$
• B. $45^?$
• C. $60^?$
• D. $0^?$

Answer 1

Answer: (D)

$0^?$

Answer 2

Let $(\phi)$ be the phase difference between the applied voltage and current. Then $tan\,\phi=\frac{X_{L}-X_{C}}{R}$ $=\frac{I_{V}\left(X_{L}-X_{C}\right)}{I_{V}R}$ $=\frac{V_{L}-V_{C}}{V_{R}}$ $=\frac{20\,V-20\,V}{40\,V}$ $=0$ $\therefore \phi =tan^{-1}\left(0\right)=0^{\circ}$