Physics-
General
Easy

Question

As shown in figure, if the point C is earthed and the point A is given a potential of 2000 V, then the potential at point B will be

  1. 400 V    
  2. 500 V    
  3. 1000 V    
  4. 1300 V    

The correct answer is: 500 V


    Equivalent capacitance between points B a n d blank C is
    C to the power of ´ end exponent equals blank fraction numerator 10 cross times 10 over denominator 10 plus 10 end fraction plus 10 equals 15 mu F
    Now equivalent capacitance between points A a n d blank C is
    C to the power of ´ ´ end exponent equals fraction numerator 5 cross times 15 over denominator 15 plus 5 end fraction equals fraction numerator 75 over denominator 20 end fraction mu F
    Charge on capacitor of capacity 5mu F is
    Q equals C V equals fraction numerator 75 over denominator 20 end fraction cross times 2000 equals 7500 mu C
    (Since, potential at the point C will be zero)
    Now, potential difference across capacitor of 5mu F is
    V subscript A end subscript minus V subscript B end subscript blank equals fraction numerator Q over denominator 5 mu F end fraction equals fraction numerator 7500 mu C over denominator 5 mu C end fraction=1500volt
    As,V subscript A end subscript equals 2000volt
    Hence, V subscript B end subscript equals 2000 minus 1500 equals 500 volt.

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