Physics-
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Question

The magnetic induction at O due to a current in conductor shaped as shown in fig is

  1. fraction numerator mu subscript o end subscript i over denominator 4 pi end fraction open square brackets fraction numerator 3 pi over denominator 2 a end fraction plus fraction numerator square root of 2 over denominator b end fraction close square brackets    
  2. fraction numerator mu subscript o end subscript i over denominator 4 pi end fraction open square brackets fraction numerator 3 pi over denominator 4 a end fraction minus fraction numerator square root of 2 over denominator b end fraction close square brackets    
  3. fraction numerator mu subscript o end subscript i over denominator 2 pi end fraction open square brackets fraction numerator 3 pi over denominator 4 a end fraction plus fraction numerator 1 over denominator square root of 2 b end fraction close square brackets    
  4. fraction numerator mu subscript o end subscript i over denominator 4 pi end fraction open square brackets fraction numerator 1 over denominator a end fraction plus fraction numerator 1 over denominator b end fraction close square brackets    

The correct answer is: fraction numerator mu subscript o end subscript i over denominator 4 pi end fraction open square brackets fraction numerator 3 pi over denominator 2 a end fraction plus fraction numerator square root of 2 over denominator b end fraction close square brackets

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