Physics
Magnetic-Effects-Of-Current-And-Magnetism
Easy

Question

A, B and C are parallel conductors of equal length carrying currents I, I and 2I respectively. Distance between A and B is x. Distance between B and C is also x. F subscript 1 end subscript is the force exerted by B on A and F2 is the force exerted by B on A choose the correct answer

  1. F subscript 1 end subscript equals 2 F subscript 2 end subscript    
  2. F subscript 2 end subscript equals 2 F subscript 1 end subscript    
  3. F subscript 1 end subscript equals F subscript 2 end subscript    
  4. F subscript 1 end subscript equals negative F subscript 2 end subscript    

The correct answer is: F subscript 1 end subscript equals negative F subscript 2 end subscript


    F equals fraction numerator mu subscript 0 end subscript over denominator 4 pi end fraction fraction numerator 2 i subscript 1 end subscript i subscript 2 end subscript over denominator a end fraction
    F subscript 1 end subscript equals fraction numerator mu subscript 0 end subscript over denominator 4 pi end fraction equals fraction numerator 2 i to the power of 2 end exponent over denominator x end fraction (Attraction)
    F subscript 2 end subscript equals fraction numerator mu subscript 0 end subscript over denominator 4 pi end fraction equals fraction numerator 2 i cross times 2 i over denominator 2 x end fraction equals fraction numerator mu subscript 0 end subscript over denominator 4 pi end fraction fraction numerator 2 i to the power of 2 end exponent over denominator x end fraction (Repulsion)
    Thus F subscript 1 end subscript equals negative F subscript 2 end subscript

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