Question

Give an expression for magnetic field on the axis of a circular current loop. (Expression only). What is the value of $B$ at the center of the loop?

Answer 1

The expression of magnetic field on the axis of the circular current loop is given by $B=\frac{{\mu }_{0}I{R}^2}{2(x^2+R^2{)}^{3/2}}$

where $R=$ radius of circular loop, $x=$ distance from the center of loop.

The value of B at the center will be found by putting $x=0$.

Thus, $B_0=\frac{{\mu }_{0}I{R}^2}{2R^3}=\frac{{\mu }_{0}I}{2R}$