A uniform current is flowing along the length of an infinite, straight, thin, hollow cylinder of radius ‘R’. The magnetic field ‘B’ produced at a perpendicular distance ‘d’ from the axis of the cylinder is plotted in a graph. Which of the following figures look like the plot ?

Question

A uniform current is flowing along the length of an infinite, straight, thin, hollow cylinder of radius ‘R’. The magnetic field ‘B’ produced at a perpendicular distance ‘d’ from the axis of the cylinder is plotted in a graph. Which of the following figures look like the plot ? (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

∵ Magnetic field due to a hollow cylinder of radius r.

B text inside =0( text for d < r) B text outslde =(μ0/2 π) ⋅ (i/d) text (for d ≥ r) So, graph between B and d.

Q. A uniform current is flowing along the length of an infinite, straight, thin, hollow cylinder of radius ‘R’. The magnetic field ‘B’ produced at a perpendicular distance ‘d’ from the axis of the cylinder is plotted in a graph. Which of the following figures look like the plot ?

∵ Magnetic field due to a hollow cylinder of radius r. Binside ​=0( for d<r) Boutslde ​=2πμ0​​⋅di​ (for d≥r) So, graph between B and d.

$∵$ Magnetic field due to a hollow cylinder of radius $r$ .

$B_{inside} = 0 (for d < r)$
$B_{outslde} = \frac{μ _{0}}{2 π} \cdot \frac{i}{d} (for d \geq r)$
So, graph between $B$ and $d$ .