QJEEM23Ph64dd: JEE Main 2023 Physics - Class 12 JEEM23Ph64dd Solution: A series circuit consists of , and . The input voltage is 2500…

Question

Verified Solution • 2025–26 Session moderate

A series

\mathrm{LCR}

circuit consists of

\mathrm{R}=80 \Omega, \mathrm{X}_{\mathrm{L}}=100 \Omega

, and

\mathrm{X}_{\mathrm{C}}=40 \Omega

. The input

voltage is 2500

\cos (100 \pi \mathrm{t}) \mathrm{V}

. The amplitude of current, in the circuit, is _________ A.

Accepted Answer

\omega=100 \pi

\begin{aligned}&amp; \text { So } Z=\sqrt{R^{2}+\left(X_{L}-X_{C}\right)^{2}} \\\\&amp; =\sqrt{80^{2}+(100-40)^{2}} \\\\&amp; =100 \Omega \\\\&amp; i_{0}=\frac{V_{0}}{Z}=\frac{2500}{100} \mathrm{~A}=25 \mathrm{~A}\end{aligned}

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