Physics-
General
Easy

Question

Three charges Q subscript 0 end subscript comma negative q and – q are placed at the vertices of an isosceles right angle triangle as in the figure. The net electrostatic potential energy is zero if Q subscript 0 end subscriptis equal to

  1. fraction numerator q over denominator 4 end fraction    
  2. fraction numerator 2 q over denominator square root of 32 end fraction    
  3. square root of 2 q end root    
  4. +q    

The correct answer is: fraction numerator 2 q over denominator square root of 32 end fraction


    Here total electrostatic potential energy is zero
    i e comma blank fraction numerator negative Q subscript 0 end subscript q over denominator l end fraction minus fraction numerator q Q subscript 0 end subscript over denominator l end fraction plus fraction numerator q to the power of 2 end exponent over denominator square root of 2 l end root end fraction equals 0
    On solving,
    Q subscript 0 end subscript equals fraction numerator q over denominator 2 square root of 2 end fraction equals fraction numerator 2 q over denominator square root of 32 end fraction

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