Physics-
General
Easy

Question

In the figure below, what is the potential difference between the point A and B and between B and C respectively in steady stat

  1. V subscript A B end subscript equals V subscript B C end subscript equals 100 V    
  2. V subscript A B end subscript equals 75 V comma   V subscript B C end subscript equals 25   V    
  3. V subscript A B end subscript equals 25 V comma   V subscript B C end subscript equals 75   V    
  4. V subscript A B end subscript equals V subscript B C end subscript equals 50   V    

The correct answer is: V subscript A B end subscript equals 25 V comma   V subscript B C end subscript equals 75   V


    C subscript e q end subscript equals fraction numerator left parenthesis 3 plus 3 right parenthesis cross times left parenthesis 1 plus 1 right parenthesis over denominator left parenthesis 3 plus 3 right parenthesis plus left parenthesis 1 plus 1 right parenthesis end fraction plus 1 equals open parentheses fraction numerator 6 cross times 2 over denominator 6 plus 2 end fraction close parentheses plus 1 equals fraction numerator 5 over denominator 2 end fraction mu F
    \ Q equals C cross times V equals fraction numerator 5 over denominator 2 end fraction cross times 100 equals 250 mu C
    Charge in 6 mu F branch equals V C equals open parentheses fraction numerator 6 cross times 2 over denominator 6 plus 2 end fraction close parentheses 100 equals 150 mu C

    V subscript A B end subscript equals fraction numerator 150 over denominator 6 end fraction equals 25 V and V subscript B C end subscript equals 100 minus V subscript A B end subscript equals 75 V

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