JEE Mains · Physics · STD 12 -Alternating current
- JEE Mains 2021
- Hard
- Numerical
An \(LCR\) circuit contains resistance of \(110 \, \Omega\) and a supply of \(220\, V\) at \(300 \,rad / s\) 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 ...... \(A\)
Pick an option to check your answer.
Answer & Solution
Correct Answer
(D) \(2\)
Step-by-step Solution
Detailed explanation
\(\tan 45^{\circ}=\frac{1}{\omega C R}=\frac{\omega L}{R} \Rightarrow X_{L}=X_{C}\)
\(\Rightarrow\) resonance
\(i =\frac{ V }{ R }\)
\(=\frac{220}{110}=2 \,A\)
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