Question

4. (25 points) A hollow conducting pipe has an inner radius of 2a/5 and an outer radius of a. The cross section is as shown below. It carries a current of magnitude Iwith uniform current density within the conductor material. Using Amperes Law, find the magnetic field magnitude in each region as a function of radius (in the cavity contained within the pipe, within the pipe itself, and outside the pipe). Sketch a graph of the magnetic field magnitude as a function of radius for r 0 to r 2a roughly to scale. Remember that there is no current inside the inner edge of the pipe. 2a/5
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