Physics-
General
Easy

Question

In the circuit given here, the points A, B and C are 70V, zero, 10V respectively. Then

  1. The point D will be at a potential of 60V    
  2. The point D will be at a potential of 20V    
  3. Currents in the path AD, DB and DC are in the ratio of 1:2:3    
  4. Currents in the path AD, DB and DC are in the ratio of 3 : 2 : 1    

The correct answer is: Currents in the path AD, DB and DC are in the ratio of 3 : 2 : 1


    Applying Kirchhoff’s law at point D, we get
    I subscript 1 end subscript equals I subscript 2 end subscript plus I subscript 3 end subscript
    fraction numerator V subscript A end subscript minus V subscript D end subscript over denominator 10 end fraction equals fraction numerator V subscript D end subscript minus 0 over denominator 20 end fraction plus fraction numerator V subscript D end subscript minus V subscript C end subscript over denominator 30 end fraction
    o r blank 70 minus V subscript D end subscript equals fraction numerator V subscript D end subscript over denominator 2 end fraction plus fraction numerator V subscript D end subscript minus 10 over denominator 3 end fraction

    ⟹ V subscript D end subscript equals 40 V
    ⟹ i subscript 1 end subscript equals fraction numerator 70 minus 40 over denominator 10 end fraction equals 3 A
    i subscript 2 end subscript equals fraction numerator 40 minus 0 over denominator 20 end fraction equals 2 A
    a n d i subscript 3 end subscript equals fraction numerator 40 minus 10 over denominator 30 end fraction equals 1 A

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