A cylindrical conductor of radius b is solid, except for a hole of radius a, bored down the z axis. Uniform current I flows in the positive z direction.
a) Using Ampere's circuital law, find the magnetic field strength, H in A/m as a function of radius, p, in the conductor (a < p < b). Magnitude and direction.
b) Using Ampere's circuital law, find the magnetic filed strength, H in A/m, as a function of radius, p, outside the cylander (p > b). Magnitude and direction.