$A$ circular coil of radius '$r$' and number of turns '$n$' carries a current '$I$'. The magnetic fields at a small distance '$h$' along the axis of the coil $(B_a)$ and at the centre of the coil $(B_c)$ are measured. The relation between $B_c$ and $B_a$ is
- A$B_{c}=B_{a}\left(1+\frac{h^2}{r^2}\right)$
- B$B_{c}=B_{a}\left(1+\frac{h^2}{r^2}\right)^{\frac{1}{2}}$
- C$B_{c}=B_{a}\left(1+\frac{h^2}{r^2}\right)^{\frac{3}{2}}$
- D$B_{c}=B_{a}\left(1+\frac{h^2}{r^2}\right)^{-\frac{3}{2}}$
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