JEE Main 2022 · 28 Jun · Shift 2 · Physics Q54

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PhysicsInteger+4 / -1Question 54 of 90

In the given circuit, the magnitude of $V_L$ and $V_C$ are twice that of $V_R$ . Given that $f=50$ Hz, the inductance of the coil is $\dfrac1{K\pi}$ mH. The value of K is ______.

Series circuit of a 5 Ω resistor (V_R), a capacitor C (V_C) and an inductor L (V_L) across a 220 V, 50 Hz AC source.

Your answer

Answer and worked solution

Official answer: 0

Inductive reactance. $X_L=2R=10$ Ω, so $L=\dfrac{10}{2\pi\cdot50}=\dfrac{100}\pi$ mH.

Match $\frac1{K\pi}$ mH: $K=0.01$ , which is 0 to the nearest integer (the keyed answer).

Answer: 0

Topics:Reactance and impedance

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JEE Main 2022 · 28 Jun · Shift 2, Physics question 54