Alternating Current

JEE Main level, numerical answer, medium

61 of 190

Question 61 of 190

In a series LCR circuit, a resistor of 300Ω300 \Omega, a capacitor of 25 nF and an inductor of 100 mH are used. For maximum current in the circuit, the angular frequency of the ac source is _____ ×104\times 10^4 radians s−1\mathrm{s}^{-1}.

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Answer: 2

ω=1LCω=125×10−9×100×10−3ω=10+65×10=2\begin{aligned} & \omega=\frac{1}{\sqrt{\mathrm{LC}}} \\ & \omega=\frac{1}{\sqrt{25 \times 10^{-9} \times 100 \times 10^{-3}}} \\ & \omega=\frac{10^{+6}}{5 \times 10}=2\end{aligned}

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