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Question

Two short magnets of magnetic moment 1000 A m to the power of 2 end exponent are placed as shown at the corn ers of a square of side 10 cm. The net magnetic induction at P is

  1. 0.1 T    
  2. 0.2 T    
  3. 0.3 T    
  4. 0.4 T    

The correct answer is: 0.1 T


    Point P lies on equatorial line of magnet (1) and axial line of magnet (2) as shown

    B subscript 1 end subscript equals fraction numerator mu subscript 0 end subscript over denominator 4 pi end fraction times fraction numerator M over denominator d to the power of 3 end exponent end fraction equals 1 0 to the power of negative 7 end exponent cross times fraction numerator 1000 over denominator left parenthesis 0.1 right parenthesis to the power of 3 end exponent end fraction equals 0.1 T
    B subscript 2 end subscript equals fraction numerator mu subscript 0 end subscript over denominator 4 pi end fraction times fraction numerator 2 M over denominator d to the power of 3 end exponent end fraction equals 1 0 to the power of negative 7 end exponent cross times fraction numerator 2 cross times 1000 over denominator left parenthesis 0.1 right parenthesis to the power of 3 end exponent end fraction equals 0.2 T
    \ B subscript text net end text end subscript equals B subscript 2 end subscript minus B subscript 1 end subscript equals 0.1 T

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