PHYS 305 Study Guide - Final Guide: Electric Field, Boundary Value Problem, Equipotential
Document Summary
I"(cid:373) assu(cid:373)i(cid:374)g the field sou(cid:396)(cid:272)e is at the o(cid:396)igi(cid:374) fo(cid:396) ele(cid:272)t(cid:396)ostati(cid:272)s pa(cid:396)t. 4(cid:2024)(cid:2013)0(cid:1869)2 (cid:2161) = (cid:2161) (cid:1856) =(cid:1843)enc(cid:2013)0 (cid:1843)(cid:1857)(cid:1866)(cid:1855) = (cid:2025)(cid:1856) (cid:1848) Boundary condition / discontinuity in electric field across a surface: Work needed to assemble a configuration of point charges: (cid:2161) = (cid:1848) (cid:1854) (cid:1848) (cid:1854) (cid:1848) (cid:1853) = (cid:2161) (cid:1856)(cid:2194) (cid:1853) When reference point is infinity: (cid:1848) (cid:1870) = =1 (cid:1848) is the potential at charge (cid:1869) Energy stored in electric field: (cid:1849) =(cid:2013)0 (cid:2161)2(cid:1856) (cid:2161)above (cid:2161)below =(cid:2026)(cid:2013)0(cid:2196) (cid:1848)above =(cid:1848)below (cid:2161) = 0 inside a conductor (cid:2025) = 0 inside a conductor. Work needed to assemble a continuous charge distribution: 2(cid:1831)2 is energy density or energy per unit volume all space. Any net charge resides on the surface is perpendicular to surface, just outside a conductor. Can be used to solve for potential at any point where charge density is zero.
