Physics-
General
Easy

Question

P Q and R S are long parallel conductors separated by certain distance. M is the mid-point between them (see the figure). The net magnetic field at M is B. Now, the current 2 A is switched off. The field at M now becomes

  1. 2 B    
  2. B    
  3. fraction numerator B over denominator 2 end fraction    
  4. 3 B    

The correct answer is: B


    Magnetic field at mid-point M in first case is B equals B subscript P Q end subscript minus B subscript R S end subscript
    left parenthesis therefore B subscript P Q end subscript a n d blank B subscript R S end subscript a r e blank i n blank o p p o s i t e blank d i r e c t i o n s right parenthesis
    equals fraction numerator 4 blank mu subscript 0 end subscript over denominator 4 pi d end fraction minus fraction numerator 2 blank mu subscript 0 end subscript over denominator 4 pi d end fraction equals fraction numerator 2 blank mu subscript 0 end subscript over denominator 4 pi d end fraction
    When the current 2 A is switched off, the net magnetic field at M is due to current 1 A
    B to the power of ´ end exponent equals fraction numerator mu subscript 0 end subscript cross times 2 cross times 1 over denominator 4 pi d end fraction equals B

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