Physics-
General
Easy

Question

Infinite number of straight wires each carrying current I are equally placed as shown in the figure. Adjacent wires have current in opposite direction. Net magnetic field at point P is

  1. fraction numerator mu subscript 0 end subscript I over denominator 4 pi end fraction fraction numerator ln invisible function application 2 over denominator square root of 3 a end fraction stack k with tilde on top    
  2. fraction numerator mu subscript 0 end subscript I over denominator 4 pi end fraction fraction numerator l n 4 over denominator square root of 3 a end fraction stack k with tilde on top    
  3. fraction numerator mu subscript 0 end subscript I over denominator 4 pi end fraction fraction numerator l n 4 over denominator square root of 3 a end fraction left parenthesis negative k right parenthesis    
  4. zero    

The correct answer is: fraction numerator mu subscript 0 end subscript I over denominator 4 pi end fraction fraction numerator l n 4 over denominator square root of 3 a end fraction stack k with tilde on top


    B equals fraction numerator mu subscript 0 end subscript over denominator 4 pi end fraction fraction numerator I over denominator open parentheses acos invisible function application 30 to the power of ring operator end exponent close parentheses end fraction open parentheses sin invisible function application 30 to the power of ring operator end exponent plus sin invisible function application 30 to the power of ring operator end exponent close parentheses
    open square brackets 1 minus fraction numerator 1 over denominator 2 end fraction plus fraction numerator 1 over denominator 3 end fraction minus horizontal ellipsis.. close square brackets rightwards double arrow stack B with bar on top equals fraction numerator mu subscript 0 end subscript over denominator 4 pi end fraction fraction numerator I divided by n 4 over denominator square root of 3 a end fraction stack k with bar on top

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