Physics-
General
Easy

Question

The magnitude of i in ampere unit is

  1. 0.1    
  2. 0.3    
  3. 0.6    
  4. None of these    

The correct answer is: 0.1


    Applying Kirchoff's law in following figure.

    At junction A :
    i plus i subscript 1 end subscript plus i subscript 2 end subscript equals 1 .... (i)
    For Loop (i)
    negative 60 i plus left parenthesis 15 plus 5 right parenthesis i subscript 1 end subscript equals 0
    Þ i subscript 1 end subscript equals 3 i ...(ii)
    For loop (2)
    – (15 + 5) i1 + 10 i2 = 0
    Þ i2 = i1 = (3 i) = 6i
    On solving equation (i), (ii) and (iii) we get i = 0.1 A
    Short Trick : Branch current =
    text main current  end text open parentheses fraction numerator text Resistance of opposite branch end text over denominator text Total resistance end text end fraction close parentheses
    Þi equals 1 cross times open square brackets fraction numerator fraction numerator 20 over denominator 3 end fraction over denominator fraction numerator 20 over denominator 3 end fraction plus 60 end fraction close square brackets
    = 0.1 A

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