Q. In a series $LCR$ circuit, operated with an ac of angular frequency $\omega$, the total impedance is
A) $\left\lbrack R^{2} + (L\omega - C\omega)^{2} \right\rbrack^{1/2}$
B) $\left\lbrack R^{2} + \left( L\omega - \frac{1}{C\omega} \right)^{2} \right\rbrack^{1/2}$
C) $\left\lbrack R^{2} + \left( L\omega - \frac{1}{C\omega} \right)^{2} \right\rbrack^{- 1/2}$
D) $\left\lbrack (R\omega)^{2} + \left( L\omega - \frac{1}{C\omega} \right)^{2} \right\rbrack^{1/2}$
Explanation
The correct answer is Option B: $\left\lbrack R^{2} + \left( L\omega - \frac{1}{C\omega} \right)^{2} \right\rbrack^{1/2}$.
A detailed explanation for this question is being prepared.
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.