A long straight cylindrical shell carries current i uniformly distributed over its cross section.The magnitude of the magnetic field is greatest:
A)at the inner surface of the shell
B)at the outer surface of the shell
C)inside the shell near the middle
D)in hollow region near the inner surface
E)near the center of the hollow region

Question

Quizplus · Accepted Answer

The magnitude of the magnetic field at any radius r from the axis of the cylindrical shell is given by the formula B = μ0 * i * r / (2 * R^2), where R is the radius of the shell. Since the numerator i * r is maximized at the outer surface of the shell (r = R), and the denominator R^2 is the same for all radii, the magnitude of the magnetic field is greatest at the outer surface of the shell.

A Long Straight Cylindrical Shell Carries Current I Uniformly Distributed