(a) Place a perfectly conducting sphere with radius a in a uniform electric field E 0 and...
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(a) Place a perfectly conducting sphere with radius a in a uniform electric field E0 and let an origin centered electric dipole field represent the field produced by the sphere. Use this information to deduce that p = 4πϵ0a3E0 is the dipole moment induced in the sphere.
(b) Place the sphere in a uniform magnetic field B0 and let an origin-centered magnetic dipole field represent the field produced by the sphere. Use this information to deduce that m = −(2πa3/μ0)B0 is the dipole moment induced in the sphere.
(c) Let θ be the angle between the incident wave vector k0 and the scattered wave vector k. If ka
(d) Compare the answer in (c) with the cross section when the incident plane wave is circularly polarized.
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