Quiz on Electromagnetic Theory: PHYS4210 - Part I & II - Prof. James J. Napolitano, Quizzes of Physics

Download Quiz on Electromagnetic Theory: PHYS4210 - Part I & II - Prof. James J. Napolitano and more Quizzes Physics in PDF only on Docsity! Name: PHYS4210 Electromagnetic Theory Quiz #5 7 Mar 2011 This is a closed book quiz! You have thirty minutes to complete it. This is a “double quiz” with two independent parts. You can work either Part I or Part II. Or, work both parts. A perfect score on both parts counts as one quiz worth of extra credit. I. A large, flat conducting plate carries a uniform surface charge density σ. Assuming the surface lies in the xy plane, find all components of the electrostatic stress tensor at the surface, and determine the force per unit area on the surface. II. A spherical shell of radius R carries a surface charge density σ(θ) = σ0(3 cos 2 θ − 1)/2. Find the total charge Q, all three dipole moment components pi, and the quadrupole moment component Q33 = Qzz. Explain your reasoning clearly, with equations or otherwise.