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JEE Main2014PhysicsAlternating CurrentActual

A sinusoidal voltage V ( t )=100 (500 t ) is applied across a pure inductance of L=0.02 H . The current through the coil is:

Options

  1. A10 (500 t )
  2. B-10 (500 t )
  3. C10 (500 t)
  4. D-10 (500 t)

Correct answer

B. -10 (500 t )

Step-by-step solution

In a pure inductive circuit current always lags behind the emf by 2 . If v ( t )= v ₀ t then I=I₀ ( t- 2 ) Now, given v(t)=100 (500 t) and I ₀= E ₀ L = 100 500 0.02 [ L =0.02 H ] I ₀=10 (500 t - 2 ) I ₀=-10 (500 t )

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