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Unformatted text preview: at ) , , ( = = ϕ = z a r . Problem 3 In free space, the region inside a hemisphere of radius a is uniformly filled by identical, z-directed, microscopic electric dipoles. The center of hemisphere is at the origin and its north pole is on the positive z-axis. Measurement of the electric potential Φ along the z-axis shows that the dipoles produce 2 / 3 z = Φ for a z >> . a) Evaluate the polarization vector P r of the dipoles. b) Determine the electric field generated by the dipoles at the origin. Problem 4 A uniform volume current of density z J J o ˆ = r [A/m 2 ] exists in the region a r < ≤ of a cylindrical coordinate system. Determine the vector magnetic potential produced by this volume current. (Assume = A r for = r .) M. Shahabadi...
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- Spring '11