Physics-
General
Easy

Question

A parallel plate capacitor with plate area ‘A’ and separation ‘d’ is filled with two dielectrics of dielectric constants K subscript 1 end subscript and K subscript 2 end subscript If the permittivity of free space is element of subscript 0 end subscript the capacitance of the capacitor is given by

  1. fraction numerator A element of subscript 0 end subscript over denominator d end fraction open parentheses K subscript 1 end subscript plus K subscript 2 end subscript close parentheses    
  2. fraction numerator 2 A element of subscript 0 end subscript over denominator d end fraction open parentheses K subscript 1 end subscript plus K subscript 2 end subscript close parentheses    
  3. fraction numerator A element of subscript 0 end subscript over denominator 2 d end fraction open parentheses K subscript 1 end subscript plus K subscript 2 end subscript close parentheses    
  4. fraction numerator 2 A element of subscript 0 end subscript over denominator d end fraction times fraction numerator K subscript 1 end subscript K subscript 2 end subscript over denominator K subscript 1 end subscript plus K subscript 2 end subscript end fraction    

The correct answer is: fraction numerator A element of subscript 0 end subscript over denominator 2 d end fraction open parentheses K subscript 1 end subscript plus K subscript 2 end subscript close parentheses

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