Physics-
General
Easy

Question

An infinitely long wire lying along z-axis carries a current I, flowing towards positive z-direction. There is no other current, consider a circle in x-y plane with centre at (2 meter, 0, 0) and radius 1 meter. Divide the circle in small segments and let d stack l with rightwards arrow on top d denote the length of a small segment in anticlockwise direction, as shown.

The path integral text ∮ end text stack B with rightwards arrow on top times d stack l with rightwards arrow on top of the total magnetic field stack B with rightwards arrow on top along the perimeter of the given circle is,

  1. fraction numerator mu subscript 0 end subscript I over denominator 8 end fraction    
  2. fraction numerator mu subscript 0 end subscript I over denominator 2 end fraction    
  3. m0I    
  4. 0    

The correct answer is: 0


    Since there is no current passing through circular path, the integral capital phi stack B with bar on top times d stack ı with minus on top
    along the dotted circle is zero

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