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General
Easy

Question

The equivalent capacitance of the combination of three capacitors, each of capacitance C shown in figure between points A and B is

  1. fraction numerator C over denominator 2 end fraction    
  2. fraction numerator 3 C over denominator 2 end fraction    
  3. fraction numerator 1 over denominator 3 C end fraction    
  4. 2C    

The correct answer is: 2C


    In the arrangement shown both plates of capacitors C subscript 3 end subscript are joined to point B. Hence, it does not act as a capacitor and is superfluous. Now C subscript 1 end subscript and C subscript 2 end subscript are in parallel, hence C subscript A B end subscript equals C subscript 1 end subscript plus C subscript 2 end subscript equals C plus C equals 2 C

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