FIGURE 28-8
-Fig. 28-8 shows the cross-section of a hollow cylinder of inner radius a = 5 cm and outer radius b = 7 cm. A uniform current density j = 1 A/ cm² flows through the cylinder. Calculate the magnitude of the magnetic field at a distance d = 10 cm from the axis of the cylinder.

Question

FIGURE 28-8

-Fig. 28-8 shows the cross-section of a hollow cylinder of inner radius a = 5 cm and outer radius b = 7 cm. A uniform current density j = 1 A/ cm² flows through the cylinder. Calculate the magnitude of the magnetic field at a distance d = 10 cm from the axis of the cylinder.

Quizplus · Accepted Answer

The magnetic field outside a long cylindrical conductor with uniform current density can be calculated using Ampère's Law. The total current I through the cylinder is j times the cross-sectional area, which is π(b² - a²). Using Ampère's Law, B(2πd) = μ₀I, where d is the distance from the axis. Solving for B gives the magnitude of the magnetic field at d = 10 cm.

FIGURE 28-8 -Fig. 28-8 Shows the Cross-Section of a Hollow Cylinder of Hollow