Question

22 An infinitely long conductor is bent into a circle as
shown in figure. It carries a current I ampere and
the radius of loop is R metre. The magnetic
induction at the centre of loop is

Answer 1

Given :-

There exists a long conductor which is transformed into a Circle of radius R and a current I.

Magnetic induction due to Long conductor :-

B = μ⁰×I/4πR

Now, Magnetic induction due to a circular loop

B' = μ⁰I/2R

The resultant magnetic induction will be :-

B'' = B - B'

B" = μ⁰I/4πR + μ⁰I/2R

B" = μ⁰2I/4πR[π+1]