Physics-
General
Easy

Question

A current I flows a closed path in the horizontal plane of the circle as shown in the figure. The path consists of eight cars with alternating radii r and 2r. Each segment of arc subtends equal angle at the common centre P. The magnetic field produced by current path at point P is

  1. fraction numerator 3 over denominator 8 end fraction fraction numerator mu subscript 0 end subscript I over denominator r end fraction perpendicular to the plane of the paper and directed inward    
  2. fraction numerator 1 over denominator 8 end fraction fraction numerator mu subscript 0 end subscript I over denominator r end fraction perpendicular to the plane of the paper and directed outward    
  3. fraction numerator 1 over denominator 8 end fraction fraction numerator mu subscript 0 end subscript I over denominator r end fraction perpendicular to the plane of the paper and directed inward    
  4. fraction numerator 3 over denominator 8 end fraction fraction numerator mu subscript 0 end subscript I over denominator r end fraction perpendicular to the plane of the paper and directed outward    

The correct answer is: fraction numerator 3 over denominator 8 end fraction fraction numerator mu subscript 0 end subscript I over denominator r end fraction perpendicular to the plane of the paper and directed inward


    stack B with rightwards arrow on top equals open square brackets fraction numerator mu subscript 0 end subscript over denominator 4 pi end fraction fraction numerator l over denominator 2 r end fraction pi plus fraction numerator mu subscript 0 end subscript over denominator 4 pi end fraction fraction numerator I over denominator r end fraction pi close square brackets circled times equals fraction numerator 3 mu subscript 0 end subscript I over denominator 8 r end fraction circled times

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