At a point P on the axis of a current carrying circular coil of radius R, the magnetic field is B. If the distance of point P from the centre of the coil is $R\sqrt{15}$, then the magnetic field at a point Q on the axis of the coil which is at a distance of $R\sqrt{3}$ from the centre of the coil is}
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For axial magnetic field problems, first write
\[
B=\frac{\mu_0IR^2}{2(R^2+x^2)^{3/2}}
\]
and then use ratios. Most calculations become very simple.