Physics-
General
Easy

Question

The equivalent resistance and potential difference between A and B for the circuit is respectively

  1. 4 capital omega, 8 V    
  2. 8 capital omega, 4 V    
  3. 2 capital omega, 2 V    
  4. 16 capital omega 8 V    

The correct answer is: 4 capital omega, 8 V


    The equivalent resistance between C and D is
    fraction numerator 1 over denominator R ´ end fraction equals fraction numerator 1 over denominator 6 end fraction plus fraction numerator 1 over denominator 6 end fraction plus fraction numerator 1 over denominator 3 end fraction equals fraction numerator 2 over denominator 3 end fraction or R ´ equals fraction numerator 3 over denominator 2 end fraction equals 1.5 capital omega
    Now the equivalent resistance between A and B as R ´ equals 1.5 capital omega and 2.5 capital omega are connected in series, so
    R " equals 1.5 plus 2.5 equals 4 capital omega
    Now by ohm's law, potential difference between A and B is given by V subscript A end subscript minus V subscript B end subscript equals i R equals 2 cross times 4.0 equals 8 v o l t

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