In: Physics
Use Ampere’s Law to determine the magnetic field as a function of r (distance from the symmetry axis) both inside and outside an infinitely long cylinder of radius R, carrying a current Iothat is(show all relevant steps and any symmetry arguments in part a, then you don’t have to repeat them in part b):
a) uniformly distributed over the surface of the cylinder (i.e., at r = R)
b) uniformly distributed throughout the cylinder
We need to use Ampere Circuital Law, which states that magnetic field around a closed path can be calculated from the current enclosed using the formula given below.