Physics-
General
Easy

Question

A 50 blank v o l t potential difference is suddenly applied to a coil with L equals 5 cross times 10 to the power of negative 3 end exponent h e n r yand R equals 180 blank o h m. The rate of increase of current after 0.001 blank s e c o n d is

  1. 27.3 blank a m p divided by s e c  
  2. 27.8 blank a m p divided by s e c  
  3. 2.73 blank a m p divided by s e c  
  4. None of the above  

The correct answer is: None of the above


    The rate of increase of current
    equals fraction numerator d i over denominator d t end fraction equals fraction numerator d over denominator d t end fraction i subscript 0 end subscript open parentheses 1 minus e to the power of negative R t divided by L end exponent close parentheses equals fraction numerator d over denominator d t end fraction i subscript 0 end subscript minus fraction numerator d over denominator d t end fraction i subscript 0 end subscript e to the power of negative R t divided by L end exponent
    equals 0 minus i subscript 0 end subscript e to the power of negative R t divided by L end exponent. fraction numerator d over denominator d t end fraction open parentheses negative fraction numerator R t over denominator L end fraction close parentheses equals i subscript 0 end subscript fraction numerator R over denominator L end fraction e to the power of negative R t divided by L end exponent
    equals fraction numerator 50 over denominator 180 end fraction cross times fraction numerator 180 over denominator 5 cross times 10 to the power of negative 3 end exponent end fraction cross times e to the power of negative left parenthesis 180 cross times 0.001 right parenthesis divided by left parenthesis 5 cross times 10 to the power of negative 3 end exponent right parenthesis end exponent equals 10 to the power of 4 end exponent cross times e to the power of negative 36 end exponent A divided by s e c

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