Q. In $AC$ series circuit, the resistance, inductive reactance and capacitive reactance are $3\Omega,\ 10\Omega$ and $14\Omega$ respectively. The impedance of the circuit is
A) $5\Omega$
B) $4\Omega$
C) $7\Omega$
D) $10\Omega$
Explanation
(a) Here, Resistance, $R = 3\Omega$
Inductive reactance, $X_{L} = 10\Omega$
Capacitive reactance, $X_{C} = 14\Omega$
The impedance of the series $LCR$ circuit is
$Z = \sqrt{R^{2} + \left( X_{C} + X_{L} \right)^{2}} = \sqrt{(3)^{2} + (14 - 10)^{2}}$
$Z = 5\Omega$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.