Physics-
General
Easy

Question

In the circuit shown the equivalent resistance between A and B is

  1. 27blank capital omega    
  2. 18blank capital omega    
  3. 9blank capital omega    
  4. 3blank capital omega    

The correct answer is: 3blank capital omega


    The three resistances between A and B are parallel,
    fraction numerator 1 over denominator R subscript c o m b end subscript end fraction equals fraction numerator 1 over denominator R subscript 1 end subscript end fraction plus fraction numerator 1 over denominator R subscript 2 end subscript end fraction plus fraction numerator 1 over denominator R subscript 3 end subscript end fraction
    equals fraction numerator 1 over denominator 9 end fraction plus fraction numerator 1 over denominator 9 end fraction plus fraction numerator 1 over denominator 9 end fraction
    fraction numerator 1 over denominator R subscript c o m b end subscript end fraction equals fraction numerator 3 over denominator 9 end fraction
    ⟹ R subscript c o m b end subscript equals 3 capital omega

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