Quiz on Electromagnetic Theory - PHYS4210 - Prof. James J. Napolitano, Quizzes of Physics

Download Quiz on Electromagnetic Theory - PHYS4210 - Prof. James J. Napolitano and more Quizzes Physics in PDF only on Docsity! Name: PHYS4210 Electromagnetic Theory Quiz 26 Jan 2009 This is a closed book quiz! Write the best choice in the space next to the question. 1. Given a coordinate transformation matrix aij and a tensor T, which of the follow- ing is the correct expression for T ′ij, the tensor elements expressed in the transformed coordinate system? A. T ′ij = ∑ k aijTkk B. T ′ij = ∑ kl aijTkl C. T ′ij = ∑ kl aklTij D. T ′ij = ∑ kl aikajlTkl E. T ′ij = ∑ kl aikTklalj 2. As shown in class, the electric field from a static charge distribution ρ(r) is E(r) = ∫ all space ρ(r′)(r− r′) |r− r′|3 dV ′ Which of the following is true for all static electric fields, where Q = ∫ ρ(r)dV : I. ∇ · E = 4πρ II. ∇× E = 0 III. |E| = Q/|r|2 A. I only B. II only C. III only D. I and II only E. I and III only 3. The electric potential is evaluated at a certain point far from a localized charge distribution whose net charge is zero. At a point twice as far away, but in the same direction, the electric potential is A. multiplied by 2. B. multiplied by 1/2. C. multiplied by 1/4. D. multiplied by 1/8. E. the same, since it must equal zero everywhere.