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Question

A long straight wire, carrying current I, is bent at its midpoint to form an angle of 45 to the power of ring operator end exponent Magnetic field at point P, distance R from point of bending is equal to :

  1. fraction numerator left parenthesis square root of 2 minus 1 right parenthesis mu subscript 0 end subscript I over denominator 4 pi R end fraction    
  2. fraction numerator left parenthesis square root of 2 plus 1 right parenthesis mu subscript 0 end subscript I over denominator 4 pi R end fraction    
  3. fraction numerator left parenthesis square root of 2 plus 1 right parenthesis mu subscript 0 end subscript I over denominator 4 square root of 2 pi R end fraction    
  4. fraction numerator left parenthesis square root of 2 minus 1 right parenthesis mu subscript 0 end subscript I over denominator 2 square root of 2 pi R end fraction    

The correct answer is: fraction numerator left parenthesis square root of 2 minus 1 right parenthesis mu subscript 0 end subscript I over denominator 4 pi R end fraction


    B equals fraction numerator mu subscript 0 end subscript I over denominator 4 pi times fraction numerator R over denominator square root of 2 end fraction end fraction open parentheses sin invisible function application 90 to the power of ring operator end exponent plus sin invisible function application 135 to the power of ring operator end exponent close parentheses
    equals fraction numerator mu subscript 0 end subscript I over denominator 4 pi R end fraction left parenthesis square root of 2 minus 1 right parenthesis

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