Physics-
General
Easy

Question

Three uncharged capacitors of capacities C subscript 1 end subscript comma C subscript 2 end subscript text  and  end text C subscript 3 end subscript are connected as shown in the figure to one another and the point. A, B and C are at potentials V subscript 1 end subscript V subscript 2 end subscript text  and  end text V subscript 3 end subscript respectively. Then the potential at O will be

  1. fraction numerator V subscript 1 end subscript C subscript 1 end subscript plus V subscript 2 end subscript C subscript 2 end subscript plus V subscript 3 end subscript C subscript 3 end subscript over denominator C subscript 1 end subscript plus C subscript 2 end subscript plus C subscript 3 end subscript end fraction    
  2. fraction numerator V subscript 1 end subscript plus V subscript 2 end subscript plus V subscript 3 end subscript over denominator C subscript 1 end subscript plus C subscript 2 end subscript plus C subscript 3 end subscript end fraction    
  3. fraction numerator V subscript 1 end subscript open parentheses V subscript 2 end subscript plus V subscript 3 end subscript close parentheses over denominator C subscript 1 end subscript open parentheses C subscript 2 end subscript plus C subscript 3 end subscript close parentheses end fraction    
  4. fraction numerator V subscript 1 end subscript V subscript 2 end subscript V subscript 3 end subscript over denominator C subscript 1 end subscript C subscript 2 end subscript C subscript 3 end subscript end fraction    

The correct answer is: fraction numerator V subscript 1 end subscript C subscript 1 end subscript plus V subscript 2 end subscript C subscript 2 end subscript plus V subscript 3 end subscript C subscript 3 end subscript over denominator C subscript 1 end subscript plus C subscript 2 end subscript plus C subscript 3 end subscript end fraction

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