Two circular coils X and Y, having equal number of turns, carry equal currents in the same sense and subtend same solid angle at point O. If the smaller coil X is midway between O and Y, then if we represent the magnetic induction due to bigger coil Y at O as $B_Y$ and due to smaller coil X at O as $B_X$ then the ratio $\frac{{\mathrm{B}}_{\mathrm{Y}}}{{\mathrm{B}}_{\mathrm{X}}}$