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  4. 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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Q. 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 :

NEETNEET 2019Moving Charges and Magnetism

Solution:

Inside (d < R)
Magnetic field inside conductor
$B =\frac{\mu_{0}}{2\pi} \frac{i}{R^{2}} d$
or B = Kd ...(i)
Straight line passing through origin
At surface (d = R)
$ B =\frac{\mu_{0}}{2\pi} \frac{i}{R} $ ....(ii) Maximum at surface
Outside (d > R)
$ B = \frac{\mu_{0}}{2\pi} \frac{i}{d}$
or $ B \propto \frac{1}{d} $ (Hyperbolic)

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