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General
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Question

Three platesA comma   B comma   C each of area 50 c m to the power of 2 end exponent have separation 3 m m between Aand B and 3 m m between B and CThe energy stored when the plates are fully charged is

  1. 1.6 cross times 1 0 to the power of negative 9 end exponent J    
  2. 2.1 cross times 1 0 to the power of negative 9 end exponent J    
  3. 5 cross times 1 0 to the power of negative 9 end exponent J    
  4. 7 cross times 1 0 to the power of negative 9 end exponent J    

The correct answer is: 2.1 cross times 1 0 to the power of negative 9 end exponent J


    There are two capacitors parallel to each other.
    \ Total capacitanceequals fraction numerator 2 epsilon subscript 0 end subscript A over denominator d end fraction
    \Energy stored equals fraction numerator 1 over denominator 2 end fraction open parentheses fraction numerator 2 epsilon subscript 0 end subscript A over denominator d end fraction close parentheses V to the power of 2 end exponent equals fraction numerator 8.86 cross times 1 0 to the power of negative 12 end exponent cross times 50 cross times 1 0 to the power of negative 4 end exponent cross times 1 2 to the power of 2 end exponent over denominator 3 cross times 1 0 to the power of negative 3 end exponent end fraction equals 2.1 cross times 1 0 to the power of negative 9 end exponent J

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