Physics-
General
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Question

A current I flowing through the loop as shown in figure. The magnetic field at centre O is

  1. fraction numerator 7 blank mu subscript 0 end subscript I over denominator 16 R end fraction ⨂    
  2. fraction numerator 7 blank mu subscript 0 end subscript I over denominator 16 R end fraction ⨀    
  3. fraction numerator 7 blank mu subscript 0 end subscript I over denominator 16 R end fraction ⨀    
  4. fraction numerator 5 blank mu subscript 0 end subscript I over denominator 16 R end fraction ⨀    

The correct answer is: fraction numerator 7 blank mu subscript 0 end subscript I over denominator 16 R end fraction ⨂


    The effective magnetic field at O
    B equals B subscript P E end subscript plus B subscript R S end subscript equals fraction numerator mu subscript 0 end subscript over denominator 4 pi end fraction. fraction numerator 3 over denominator 2 end fraction fraction numerator pi I over denominator R end fraction plus fraction numerator mu subscript 0 end subscript over denominator 4 pi end fraction. fraction numerator pi over denominator 2 end fraction. fraction numerator I over denominator 2 R end fraction
    rightwards double arrow B equals fraction numerator mu subscript 0 end subscript I over denominator 4 R end fraction open square brackets fraction numerator 3 over denominator 2 end fraction plus fraction numerator 1 over denominator 4 end fraction close square brackets equals fraction numerator 7 over denominator 16 end fraction fraction numerator mu subscript 0 end subscript I over denominator R end fraction
    As per Fleming’s Right Hand rule, direction of magnetic field is perpendicular and in the plane of paper

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