Physics-
General
Easy

Question

A long straight metal rod has a very long hole of radius ‘a’ drilled parallel to the rod axis as shown in the figure. If the rod carries a current ‘i’ find the value of magnetic induction on the axis of the hole, where OC = c

  1. fraction numerator mu subscript 0 end subscript i c over denominator pi open parentheses b to the power of 2 end exponent minus a to the power of 2 end exponent close parentheses end fraction    
  2. fraction numerator mu subscript 0 end subscript i c over denominator 2 pi open parentheses b to the power of 2 end exponent minus a to the power of 2 end exponent close parentheses end fraction    
  3. fraction numerator mu subscript 0 end subscript i open parentheses b to the power of 2 end exponent minus a to the power of 2 end exponent close parentheses over denominator 2 pi c end fraction    
  4. fraction numerator mu subscript 0 end subscript i c over denominator 2 pi a to the power of 2 end exponent b to the power of 2 end exponent end fraction    

The correct answer is: fraction numerator mu subscript 0 end subscript i c over denominator 2 pi open parentheses b to the power of 2 end exponent minus a to the power of 2 end exponent close parentheses end fraction

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