Physics-
General
Easy

Question

The total current supplied to the given circuit by the battery is

  1. 9 A    
  2. 6 A    
  3. 2 A    
  4. 4 A    

The correct answer is: 6 A


    The equivalent circuit of the given circuit is as shown

    Resistances 6capital omega and 2capital omega are in parallel
    therefore blank R to the power of ´ end exponent equals fraction numerator 6 cross times 2 over denominator 6 plus 2 end fraction equals fraction numerator 3 over denominator 2 end fraction capital omega
    Resistances fraction numerator 3 over denominator 2 end fraction capital omega blank a n d blank 1.5 capital omega blank a r e blank i n blank s e r i e s
    therefore blank R to the power of ´ ´ end exponent equals fraction numerator 3 over denominator 2 end fraction plus 1.5 equals 3 capital omega blank
    Resistances 3capital omega and 3capital omega are in parallel
    therefore blank R equals fraction numerator 3 cross times 3 over denominator 3 plus 3 end fraction equals fraction numerator 3 over denominator 2 end fraction
    The current, I equals fraction numerator V over denominator R end fraction
    equals fraction numerator 9 over denominator 3 divided by 2 end fraction equals 6 A

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