Using Ampere's Law to Find the Magnetic Field in a Cylindrical Conductor With a Uniform Current Density

The above conductor has circular cross section of radius R and carries a current I, so the current density is

The area enclosed by the circular loop isso the current enclosed within the loopis

Around the loopthe fieldis uniform by symmetry.

Applying Ampere's Law:

Dividing bygives

Add comment

Security code
Refresh