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JEE Main 20236 AprilEvening Shift
Exam
JEE Main
Year
2023
Date
6 April
Shift
Evening Shift
Subject
Physics
Chapter
Alternating Current

JEE Main 2023 · 6 April · Evening Shift · Physics · Alternating Current

A capacitor of capacitance 150 . 0 is connected to an alternating...

A capacitor of capacitance 150.0\muF150 . 0\muF is connected to an alternating source of emf given by E=36sin⁡(120\pit)VE = 36\sin \left(120\pit\right)V. The maximum value of current in the circuit is approximately equal to:

Options

  1. A2A2A
  2. B2A\sqrt{2}A
  3. C22A2\sqrt{2}A
  4. D12A\dfrac{1}{\sqrt{2}}A

Correct answer

A. 2A2A

Step-by-step solution

The formula for maximum current is given by

{I}_\max = \omegaC{V}_{m} . . . ( i )

The given data is

ω=120π\omega = 120\pi

Vm=36VC=150μF{V}_{m} = 36VC = 150\mu F

Substituting the values in equation (i)

{I}_\max = \left(120\pi\right) \times \left(150 \times {10}^{- 6}\right) \times 36

=2.036A= 2 . 036A

≈2A\approx 2A

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