Biot-Savart Law for Circular Loop

The axial magnetic field of a circular loop of radius $R$ carrying current $I$ at a distance $x$ from the centre is: $B = \frac{\mu_0 I R^2}{2(R^2 + x^2)^{3/2}}$

Field at the Center ($x=0$)

$B_{\text{centre}} = \frac{\mu_0 I}{2R}$

Analyze Variation

As $x$ increases in either direction from the centre along the axis, the denominator $(R^2 + x^2)^{3/2}$ increases, making $B$ decrease monotonically. Hence, the magnetic field strength is maximum at the centre.

Magnetic field strength is maximum at the centre.