Question: 3. A wire is concentrically surrounded by a cylindrical shell with inner radius R and outer radius 2R. The wire carries current I into

3. A wire is concentrically surrounded by a cylindrical shell with inner radius R and outer radius 2R. The wire carries current I into the page. The magnitude and direction of the current in the shell is unknown. See figure. At r = 3R, the magnitude of the magnetic field is B = , and its direction is CCW. Find the magnitude and direction of the 6R current in the shell. For the current direction, give answer as into or out of the page. Use Ampere's Law. You may assume cylindrical symmetry. The knowns are o, R and I. (10 points) R 2R cylindrical shell unknown current wire with I into the page

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