a
(a) From the formula, magnetic field intensity at point $P$, shown in given figure while carrying current $'i'$ and having $'N'$ turns is given by Magneti field at $P$ due to entire circular loop is
$\Rightarrow \frac{\mu_{0} i R^{2}}{2\left(x^{2}+R^{2}\right)^{3 / 2}}$
And hence for $N$ turns is,
$\Rightarrow \frac{\mu_{0} \mathrm{NiR}^{2}}{2\left(\mathrm{R}^{2}+\mathrm{x}^{2}\right)^{3 / 2}}$