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JEE MAIN 2023
25.01.23
Question
An LCR series circuit of capacitance 62.5 nF and resistance of 50. is connected to an A.C. source of frequency 2.0 kHz. For maximum value of amplitude of current in circuit, the value of inductance is ______mH. (take 2 = 10)
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Solution
Sol. $\begin{aligned} f & =\frac{1}{2 \pi \sqrt{\mathrm{LC}}} \\ 2000 \mathrm{~Hz} & =\frac{1}{2 \pi \sqrt{\mathrm{~L} \times 62.5 \times 10^{-9}}}\end{aligned}$ $\mathrm{L}=\frac{1}{4 \pi^2 \times 2000^2 \times 62.5 \times 10^9}=0.1 \mathrm{H}=100 \mathrm{mH}$
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