An LCR circuit contains...|Alternating Current|JEE-Main 2021

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JEE MAIN 2021

25-02-2021 S2

Question

An LCR circuit contains resistance of $110 \Omega$ and a supply of 220 V at $300 \mathrm{rad} / \mathrm{s}$ angular frequency. If only capacitance is removed from the circuit, current lags behind the voltage by $45^{\circ}$. If on the other hand, only inductor is removed the current leads by $45^{\circ}$ with the applied voltage. The rms current flowing in the circuit will be :

Select the correct option:

A

1A

B

2.5 A

C

1.5 A

D

2A

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

$\begin{aligned} & \tan 45^{\circ}=\frac{1}{\omega C R}=\frac{\omega L}{R} \Rightarrow X_L=X_C \\ & \Rightarrow \quad \text { resonance } \\ & i=\frac{V}{R} \\ & =\frac{220}{110}=2 \mathrm{~A}\end{aligned}$

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