JEE Main 2022 · 25 Jun · Shift 2 · Physics Q59

← JEE Main 2022 · 25 Jun · Shift 2

PhysicsInteger+4 / -1Question 59 of 90

In a series LCR circuit, the inductance, capacitance and resistance are $L=100$ mH, $C=100\ \mu$ F and $R=10\ \Omega$ respectively. They are connected to an AC source of voltage 220 V and frequency of 50 Hz. The approximate value of current in the circuit will be ______ A.

Series LCR circuit: 100 mH inductor, 100 μF capacitor and 10 Ω resistor in series with a 220 V, 50 Hz AC source.

Your answer

Answer and worked solution

Official answer: 22

Reactances. $X_L=2\pi(50)(0.1)\approx31.4\ \Omega$ ; $X_C=\dfrac1{2\pi(50)(10^{-4})}\approx31.8\ \Omega$ .

Impedance. $Z=\sqrt{10^2+(0.4)^2}\approx10\ \Omega$ , so $I\approx\dfrac{220}{10}=22$ A.

Answer: 22

Topics:LCR circuits and resonance Reactance and impedance

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JEE Main 2022 · 25 Jun · Shift 2, Physics question 59