Q. For a series L – C – R circuit, the phase difference between current and voltage at the condition of resonance will be

A) $\frac{\pi}{2}$
B) $\frac{\pi}{4}$
C) Zero
D) Nothing can be said
Explanation

(c) In a series L – C – R circuit, potential difference leads the current by an angle $\phi$(let).
$\ \ \phi = \tan^{- 1}\left( \frac{X_{L} - X_{C}}{R} \right)$
or $\ \ \phi = \tan^{- 1}\left( \frac{\omega_{L} - \frac{1}{\omega C}}{R} \right)$
At resonance, $X_{L} = X_{C},\ \ ie,\omega L = \frac{1}{\omega C}$
Hence, $\phi = \tan^{- 1}{(0) = 0}$
Therefore, phase difference between current and voltage at resonance is zero.

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.