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COMEDK2024PhysicsAlternating Current

When an alternating voltage source V=100 (100 t+ 6 ) is applied to a pure capacitor of 1 ~F , then the instantaneous value of current through capacitor is

Options

  1. A0.01 (100 t+ 3 )
  2. B0.01 (100 t+ 6 )
  3. C0.04 (100 t+ 3 )
  4. D0.04 (100 t+ 6 )

Correct answer

A. 0.01 (100 t+ 3 )

Step-by-step solution

aligned & V=100 (100 t+ 6 ) & ₁= 6 aligned Since, alternating current leads 2 angle from alternating voltage in purely capacitive circuit, hence phase angle of alternating current, ₂= 2 - ₁= 2 - 6 = 3 Instantaneous value of alternative current, aligned i & =i₀ (100 t+ ₂ ) & =V₀ C (100 t+ 3 ) & =100 100 1 10⁻⁶ (100 t+ 3 ) & =0.01 (100 t+ 3 ) aligned

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