9. An aluminum rod with resistivity, p, is shaped into a circular loop such that the...

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9. An aluminum rod with resistivity, p, is shaped into a circular loop such that the rod diameter, d, is much smaller than the radius of the loop, a. The loop is placed in the presence of an oscillating magnetic field, Bocos(wt), such that the field is perpendicular to the plane of the loop. Assuming the magnetic field covers an area much larger than that of the loop. a) Find the current density induced in the loop using Faraday's Law. b) Find the induced electric field everywhere using Maxwell's equation. Find the current density in the loop using this answer. Is it the same as part 'a'? 9. An aluminum rod with resistivity, p, is shaped into a circular loop such that the rod diameter, d, is much smaller than the radius of the loop, a. The loop is placed in the presence of an oscillating magnetic field, Bocos(wt), such that the field is perpendicular to the plane of the loop. Assuming the magnetic field covers an area much larger than that of the loop. a) Find the current density induced in the loop using Faraday's Law. b) Find the induced electric field everywhere using Maxwell's equation. Find the current density in the loop using this answer. Is it the same as part 'a'?

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