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 :

Question

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 : (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

Inside (d < R)
Magnetic field inside conductor

B = \frac{μ _{0}}{2 π} \frac{i}{R ^{2}} d

or B = Kd ...(i)
Straight line passing through origin
At surface (d = R)

B = \frac{μ _{0}}{2 π} \frac{i}{R}

....(ii) Maximum at surface
Outside (d > R)

B = \frac{μ _{0}}{2 π} \frac{i}{d}

or

B \propto \frac{1}{d}

(Hyperbolic)

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 :

Inside (d < R) Magnetic field inside conductor B=2πμ0​​R2i​d or B = Kd ...(i) Straight line passing through origin At surface (d = R) B=2πμ0​​Ri​ ....(ii) Maximum at surface Outside (d > R) B=2πμ0​​di​ or B∝d1​ (Hyperbolic)

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 :