An alternating voltage e = 150√(2) sin 100t volt is applied to a capacitor of capacity 2 μ F. The root mean square value of current in the circuit is (a) 300 mA (b) 150 mA (c) 30 mA (d) 15 mA

Answer: (c). ω = 100 rad/s, XC = (1)/(ω C) = 1100 × 2×10⁻⁶ = 5000 Ω Vrms = (150√(2))/(√(2)) = 150 V Irms = (150)/(5000) = 0.03 A = 30 mA So the answer is (c) 30 mA.

An alternating voltage e = 150√(2) sin 100t volt is applied to a… | MHT CET 2026 (19 Apr, Shift 1)

Q12MHT CET 2026 · 19 APR · SHIFT 1Easy

Pure R, L and C Circuits

An alternating voltage $e = 150\sqrt{2} \sin 100t$ volt is applied to a capacitor of capacity $2\ \mu$ F. The root mean square value of current in the circuit is

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Answer: (c)

$\omega = 100$ rad/s, $X_C = \frac{1}{\omega C} = \frac{1}{100 \times 2\times10^{-6}} = 5000\ \Omega$
$V_{rms} = \frac{150\sqrt{2}}{\sqrt{2}} = 150$ V
$I_{rms} = \frac{150}{5000} = 0.03$ A $= 30$ mA
So the answer is (c) 30 mA.

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Pure R, L and C Circuits question from MHT CET 2026 (19 Apr, Shift 1)

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