A Student's Guide to Maxwell's Equations
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Problem 4.4

The coaxial cable shown in the figure carries current I1 in the direction shown on the inner conductor and current I2 in the opposite direction on the outer conductor.  Find the magnetic field in the space between the conductors as well as outside the cable if the magnitudes of I1 and I2 are equal.

Give me a HINT or show me THE FULL SOLUTION!