Physics-
General
Easy

Question

In an L–R circuit connected to a battery the rate at which energy is stored in the inductor is plotted against time during the growth of the current in the circuit. Which of the following best represents the resulting curve

  1.    
  2.    
  3.    
  4.    

The correct answer is:


    U equals fraction numerator 1 over denominator 2 end fraction L i to the power of 2 end exponent
    thereforeRate equals fraction numerator d U over denominator d t end fraction equals L i open parentheses fraction numerator d i over denominator d t end fraction close parentheses
    At t equals 0 comma   i equals 0 therefore r a t e equals 0
    At t equals infinity comma   i equals i subscript 0 end subscript but fraction numerator d i over denominator d t end fraction equals 0 comma therefore rate = 0

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