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5. The system below consists of 2 infinitely long cylindrical conductors:

(i) A thick cylindrical shell with an inside radius of 1 meter and an outside radius of 2 meters, carrying current into the page with a current density of

J(r) = 2/r2,

where r is in meters and J(r) has units of Amps per m2.

(ii) A thin, hollow cylindrical shell with a radius of 3 meters, carrying

a 10A current out of the page.

Find the magnitude and direction of the magnetic field at each of the following points.

(a) Point A (0.5 meter to the left of the center of the system)

(b) Point B (1.5 meters above the center of the system)

(c) Point C (2.5 meters below the center of the system)

(d) Point D (3.5 meters to the right of the center of the system)

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