Physics-
General
Easy

Question

The current in the 1capital omega resistor shown in the circuit is

  1. fraction numerator 2 over denominator 3 end fraction A    
  2. 3A    
  3. 6A    
  4. 2A    

The correct answer is: 2A


    In the given circuit 4capital omega resistors are connected in parallel, this combination is connected in series with 1capital omega resistance.

    therefore blank fraction numerator 1 over denominator R to the power of ´ end exponent end fraction equals fraction numerator 1 over denominator 4 end fraction plus fraction numerator 1 over denominator 4 end fraction equals fraction numerator 2 over denominator 4 end fraction equals fraction numerator 1 over denominator 2 end fraction
    ⟹ R to the power of ´ end exponent equals 2 capital omega
    Also, R’’=2 capital omega +1capital omega =3capital omega
    From Ohm’s law, V equals i R
    therefore blank i equals fraction numerator V over denominator R end fraction equals fraction numerator 6 over denominator 3 end fraction equals 2 A

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