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(C) According to Ampere's circuital law,the magnetic field $B$ at a distance $d$ from the axis of a long cylindrical conductor of radius $R$ carrying

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(C) According to Ampere's circuital law,the magnetic field $B$ at a distance $d$ from the axis of a long cylindrical conductor of radius $R$ carrying a current $I$ is given by:For $d \leq R$ (inside the conductor),$B = \frac{\mu_{0}Id}{2 \pi R^{2}}$,which shows that $B \propto d$ (a linear relationship).For $d > R$ (outside the conductor),$B = \frac{\mu_{0} I}{2 \pi d}$,which shows that $B \propto \frac{1}{d}$ (a hyperbolic relationship).At the surface $(d = R)$,the magnetic field is maximum,$B_{max} = \frac{\mu_{0} I}{2 \pi R}$.Comparing this with the given options,the graph that shows a linear increase up to $d = R$ and a hyperbolic decrease for $d > R$ is represented by Figure $C$.

$A$ cylindrical conductor of radius $R$ is carrying a constant current. The plot of the magnitude of the magnetic field,$B$ with the distance $d$,from the centre of the conductor,is correctly represented by the figure:

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