Physics-
General
Easy

Question

A time varying voltage V = 2t volt is applied across an ideal inductor of inductance L = 2H as shown in figure. Then select incorrect statement

  1. current versus time graph is a parabola    
  2. energy stored in magnetic field at t = 2 s is 4J    
  3. potential energy at time t = 1 s in magnetic field is increasing at a rate of 1 J/s    
  4. energy stored in magnetic field is zero all the time    

The correct answer is: potential energy at time t = 1 s in magnetic field is increasing at a rate of 1 J/s


    table row cell V equals 2 t rightwards double arrow L fraction numerator d i over denominator d t end fraction equals 2 t rightwards double arrow 2 cross times fraction numerator d i over denominator d t end fraction equals 2 t rightwards double arrow fraction numerator d over denominator d t end fraction rightwards double arrow i equals fraction numerator t to the power of 2 end exponent over denominator 2 end fraction rightwards double arrow i minus t blank g r a p h blank p a r a b o l a blank end cell row cell U equals fraction numerator 1 over denominator 2 end fraction L i to the power of 2 end exponent equals fraction numerator 1 over denominator 2 end fraction cross times 2 cross times 4 equals 4 J blank a n d blank fraction numerator d U over denominator d t end fraction equals L i fraction numerator d i over denominator d t end fraction equals 2 cross times fraction numerator t to the power of 2 end exponent over denominator 2 end fraction cross times t equals t to the power of 3 end exponent equals 1 J divided by s end cell end table

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