Physics-
General
Easy

Question

A capacitor is made of a flat plate of area A and second plate having a stair-like structure as shown in figure. The width of each plate is ‘a’ and the height is ‘b’. The capacitance of the capacitor is

  1. fraction numerator 2 A element of subscript 0 end subscript over denominator 3 left parenthesis d plus b right parenthesis end fraction    
  2. fraction numerator A element of subscript 0 end subscript open parentheses 3 d to the power of 2 end exponent plus 6 b d plus 2 b to the power of 2 end exponent close parentheses over denominator 3 d left parenthesis b plus d right parenthesis left parenthesis d plus 2 b right parenthesis end fraction    
  3. fraction numerator A element of subscript 0 end subscript open parentheses d to the power of 2 end exponent plus 2 b d plus b to the power of 2 end exponent close parentheses over denominator 3 d left parenthesis d plus b right parenthesis left parenthesis d plus 2 b right parenthesis end fraction    
  4. fraction numerator 2 A element of subscript 0 end subscript open parentheses d to the power of 2 end exponent plus 2 b d plus b to the power of 2 end exponent close parentheses over denominator 3 d left parenthesis d plus b right parenthesis left parenthesis d plus 2 b right parenthesis end fraction    

The correct answer is: fraction numerator A element of subscript 0 end subscript open parentheses 3 d to the power of 2 end exponent plus 6 b d plus 2 b to the power of 2 end exponent close parentheses over denominator 3 d left parenthesis b plus d right parenthesis left parenthesis d plus 2 b right parenthesis end fraction

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