Physics-
General
Easy

Question

There resistances of 4blank capital omega each are connected as shown in figure. If the point D divides the resistance into two equal halves, the resistance between points A and D will be

  1. 12blank capital omega    
  2. 6blank capital omega    
  3. 3blank capital omega    
  4. fraction numerator 1 over denominator 3 end fraction capital omega    

The correct answer is: 3blank capital omega


    The equivalent circuit is given by

    4capital omega and 2capital omega resistances are in series on both sides.
    therefore 4 capital omega plus 2 capital omega equals 6 capital omega
    Then 6capital omega and6capital omega resistances are in parallel on both sides
    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 equals fraction numerator 2 over denominator 6 end fraction equals fraction numerator 1 over denominator 3 end fraction
    R=3capital omega

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