PHY250H1 Study Guide - Midterm Guide: Divergence Theorem, Surface Charge

• School: UTSG
• Department: Physics
• Course: PHY250H1
• Professor: Hae- Young Kee

Document Summary

Midterm test 250s, march 7, 2012 (use notations in the textbook); total 30 points. Use gauss"s law when it is appropriate (4 pt. ) Consider a function v = rn r. (a) compute the divergence of v. (b) check the divergence theorem (r vd = r v da) using a sphere of radius r. (6 pt) 2. Consider a hollow spherical shell that carries charge density = k r2 in the region a r r (the shell is empty in region 0 r < a), where k is a constant. Find electric eld in regions, (a) r < a, (b) a < r < r, (c) r > r. (6 pt) 4. A metal sphere of radius r carries a total charge q. (a) find the electric eld inside and outside the sphere, and determine the average electric.