A student records the following data for the magnitudes ( ) of the magnetic field at axial points…

A student records the following data for the magnitudes ($B$) of the magnetic field at axial points at different distances $x$ (See Figure 7 given below) from the centre O of a circular coil of radius $a$ carrying a current $I$. Verify (for any two) that these observations are in good agreement with the expected theoretical values of $B$.

$x$	$x = 0$	$x = a$	$x = 2a$	$x = 3a$
$B$	$B_0$	$\frac{B_0}{2\sqrt{2}}$	$\frac{B_0}{5\sqrt{5}}$	$\frac{B_0}{10\sqrt{10}}$