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AP EAMCET202319 May 2023Morning ShiftPhysicsAlternating CurrentActual

An ac voltage of 10 t volt is applied to a pure inducfor of inductance 10 H . The current through the inductor in ampere is

Options

  1. A1 ( t- 2 )
  2. B( t- 2 )
  3. C1 ^2 ( t- 2 )
  4. D^2 ( t- 2 )

Correct answer

A. 1 ( t- 2 )

Step-by-step solution

Apply the kirchhoff's loop rule aligned & V+E=0 & V-L d i d t =0 & V=L d i d t aligned aligned & di dt = V L = V ₀ t L & di = V ₀ ~L t aligned Integration with respect to time t aligned & i= V₀ L (- t )= -V₀ L t & i= V₀ L ( t- 2 )= 10 10 ( t- 2 ) & i= 1 ( t- 2 ) aligned

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