Question:

A capacitor of capacitance 150.0 µF is connected to an alternating source of emf given by E = 36 sin(120πt) V. The maximum value of current in the circuit is approximately equal to

Updated On: Mar 21, 2025
  • \(\sqrt{2A}\)
  • \(2\sqrt{2A}\)
  • \(\frac{1}{\sqrt{2}}A\)
  • 2A
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The Correct Option is D

Solution and Explanation

Given alternating AC source \(E = 36 \sin (120 \pi t)\) V and capacitor \(C = 150 \mu F\), we can write: \[ Q = CV \quad \text{and} \quad i = \frac{dQ}{dt} = C E \omega \cos \omega t \] Maximum value of current: \[ i_0 = C E_0 \omega = 150 \times 10^{-6} \times 36 \times 120 \pi = 2.03 A \]
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