Physics-
General
Easy

Question

In circuit shown below, the resistances are given in ohms and the battery is assumed ideal with emf equal to 3 volt. The voltage across the resistance R4 is

  1. 0.4 V    
  2. 0.6 V    
  3. 1.2 V    
  4. 1.5 V    

The correct answer is: 0.4 V


    Equivalent resistance of the given network R subscript e q end subscript equals 75 capital omega

    \ Total current through battery i equals fraction numerator 3 over denominator 75 end fraction
    i subscript 1 end subscript equals i subscript 2 end subscript equals fraction numerator 3 over denominator 75 cross times 2 end fraction equals fraction numerator 3 over denominator 150 end fraction
    Current through R subscript 4 end subscript equals fraction numerator 3 over denominator 150 end fraction cross times fraction numerator 60 over denominator left parenthesis 30 plus 60 right parenthesis end fraction equals fraction numerator 3 over denominator 150 end fraction cross times fraction numerator 60 over denominator 90 end fraction equals fraction numerator 2 over denominator 150 end fraction A
    V subscript 4 end subscript equals i subscript 4 end subscript cross times R subscript 4 end subscript equals fraction numerator 2 over denominator 150 end fraction cross times 30 equals fraction numerator 2 over denominator 5 end fraction V equals 0.4 V

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