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Question

Two parallel plates of area A are separated by two different dielectric as shown in figure. The net capacitance is

  1. fraction numerator epsilon subscript 0 end subscript A over denominator 2 d end fraction    
  2. fraction numerator epsilon subscript 0 end subscript A over denominator d end fraction    
  3. fraction numerator 3 epsilon subscript 0 end subscript A over denominator d end fraction    
  4. fraction numerator 4 epsilon subscript 0 end subscript A over denominator 3 d end fraction    

The correct answer is: fraction numerator 4 epsilon subscript 0 end subscript A over denominator 3 d end fraction


    C equals fraction numerator epsilon subscript 0 end subscript A over denominator fraction numerator d subscript 1 end subscript over denominator K subscript 1 end subscript end fraction plus fraction numerator d subscript 2 end subscript over denominator K subscript 2 end subscript end fraction end fraction
    equals blank fraction numerator epsilon subscript 0 end subscript A over denominator fraction numerator d over denominator 2 end fraction open parentheses fraction numerator 1 over denominator 1 end fraction plus fraction numerator 1 over denominator 2 end fraction close parentheses end fraction equals fraction numerator 4 epsilon subscript 0 end subscript A over denominator 3 d end fraction

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