A long, cylindrical conductor is solid throughout and has a radius 4.3cm. Electr

Question

A long, cylindrical conductor is solid throughout and has a radius 4.3cm. Electric charges flow parallel to the axis of the cylinder and pass uniformly through the entire cross section. The arrangement is, in effect, a solid tube of current 3.1A. Use Ampere's law to find the magnetic field inside the conductor at a distance 1.2cm from the axis. (Hint: For a closed path, use a circle of radius r perpendicular to and centered on the axis. Note that the current through any surface is the area of the surface times the current density.)

Explanation / Answer

B = 4*pi*10^-7*3.1*4.3*10^-2/(2*pi*(1.2*10^-2)^2) = 1.85 * 10^-4 Tesla

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