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MHT CET 2026 (20 Apr, Shift 1) · RL and RC Series Circuits

RL and RC Series Circuits question from MHT CET 2026 (20 Apr, Shift 1)

Q6MHT CET 2026 · 20 APR · SHIFT 1Medium

RL and RC Series Circuits

When an inductance ' $L$ ' and resistor ' $R$ ' are connected in series to $25$ V, $50$ Hz supply, a current of $0.5$ A flows in the circuit. The current lags behind in phase from applied voltage by $\left(\frac{\pi}{3}\right)$ radian. The value of R is $\left(\cos 60^\circ = \frac{1}{2}\right)$

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Answer: (b)

$Z = \frac{V}{I} = \frac{25}{0.5} = 50\ \Omega$
$\cos\phi = \frac{R}{Z} \Rightarrow R = Z\cos 60^\circ = 50 \times \frac{1}{2} = 25\ \Omega$
So the answer is (b) $25\ \Omega$ .

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