Physics-
General
Easy

Question

The resistance and inductance of series circuit are 5 capital omega and 20 H respectively. At the instant of closing the switch, the current is increasing at the rate 4 A divided by s. The supply voltage is

  1. 20 blank V  
  2. 80 blank V  
  3. 120 blank V  
  4. 100 blank V  

The correct answer is: 80 blank V


    i equals i subscript 0 end subscript open parentheses 1 minus e to the power of fraction numerator R t over denominator L end fraction end exponent close parentheses rightwards double arrow fraction numerator d i over denominator d t end fraction equals negative i subscript 0 end subscript open parentheses negative fraction numerator R over denominator L end fraction close parentheses e to the power of fraction numerator R t over denominator L end fraction end exponent equals fraction numerator i subscript 0 end subscript R over denominator L end fraction. e to the power of fraction numerator R t over denominator L end fraction end exponent
    At t equals 0 semicolon fraction numerator d i over denominator d t end fraction equals fraction numerator i subscript 0 end subscript R over denominator L end fraction equals fraction numerator E over denominator L end fraction rightwards double arrow 4 equals fraction numerator E over denominator 20 end fraction rightwards double arrow E equals 80 blank V

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