Physics-
General
Easy

Question

The expression for the capacity of the capacitor formed by compound dielectric placed between the plates of a parallel plate capacitor as shown in figure, will be (area of plate equals A)

  1. fraction numerator epsilon subscript 0 end subscript A over denominator open parentheses 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 plus fraction numerator d subscript 3 end subscript over denominator K subscript 3 end subscript end fraction close parentheses end fraction    
  2. fraction numerator epsilon subscript 0 end subscript A over denominator open parentheses fraction numerator d subscript 1 end subscript plus d subscript 2 end subscript plus d subscript 3 end subscript over denominator K subscript 1 end subscript plus K subscript 2 end subscript plus K subscript 3 end subscript end fraction close parentheses end fraction    
  3. fraction numerator epsilon subscript 0 end subscript A left parenthesis K subscript 1 end subscript K subscript 2 end subscript K subscript 3 end subscript right parenthesis over denominator d subscript 1 end subscript d subscript 2 end subscript d subscript 3 end subscript end fraction    
  4. epsilon subscript 0 end subscript open parentheses fraction numerator A K subscript 1 end subscript over denominator d subscript 1 end subscript end fraction plus fraction numerator A K subscript 2 end subscript over denominator d subscript 2 end subscript end fraction plus fraction numerator A K subscript 3 end subscript over denominator d subscript 3 end subscript end fraction close parentheses    

The correct answer is: fraction numerator epsilon subscript 0 end subscript A over denominator open parentheses 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 plus fraction numerator d subscript 3 end subscript over denominator K subscript 3 end subscript end fraction close parentheses end fraction

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