One of the two identical conducting wires of length L is bent in the form of a circular loop and the other one into a circular coil of N identical…

One of the two identical conducting wires of length L is bent in the form of a circular loop and the other one into a circular coil of N identical turns. If the same current is passed in both, the ratio of the magnetic field at the central of the loop $\displaystyle \left(\mathrm{B}_{\mathrm{L}}\right)$ to that at the centre of the coil $\displaystyle \left(\mathrm{B}_{\mathrm{C}}\right)$, i.e. $\displaystyle \frac{\mathrm{B}_{\mathrm{L}}}{\mathrm{B}_{\mathrm{C}}}$ will be :