15 6 4 d 3 d r v r v r 0 e

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: p; % 15 6 4 " " D& ' 3. " # D r " ! V ( r ) V (r ) 0 E d H A r0 F F ! " " $G 1 40 < < 0 ED 9 <$ ' 5 64 5 6 8 E# 1 Q q 1 Q 5 6 5.6 2 r r 4 2 0 0 2 1 Q q 1 Q q 5 6 5 6 4 r r 4 2 0 0 ' 4 H $ E dA Q enclosed 0 E4 r 2 Q q 0 E 1 Q q 4 r 2 0 > < 0 ED 0 7 7 < $ ' 5 64 5 6 8 E# 5 6 1 4 0 q r 2 1 q 5.6 2 r 0 5 6 1 4 0 q r 2 1 Q q 5 6 4 r 2 0 !! " H D ! 4 5 6# 3# ! ( ( 444 5 6 F# 5.6 8 2 0 " 2 < 2 DE# 3 q 4 a 2 4 3 Q q 4 a 2 4 < 0 ED E 0 E# E r 1 q r 4 0 2 E r 1 q Q 4 r 2 0 ? < 0 ED First find V(r) for r a4 E# r V r V r V 0 E dr For r a4 E 1 Q q ^ r Just like a point charge ! 4 r 2 0 So... r V r a4 E dr Q q1 4 0 r < 0 ED How about V(r) for a3 r a4 ? E# a4 r r V r E dr E dr a4 E dr Q q 1 4 0 a4 V a3 r a4 q Q 1 4 0 a4 0 V( r ) constant inside a conductor ! < 0 ED V(r) for a2 r a3 ? E# E r a4 a3 r q 4 0 ^ r r2 V r E dr E dr a4 E dr a3 E dr 0 q 4 0 1 1 r a3 V a2 r a3 q Q 1 4 0 a4 q 4 0 1 1 r a3 < 0 ED V(r) for a1 r a2 ? E# r a4 a3 a2 r V r E dr E dr a4 E dr a3 E dr a2 E dr 0 0 V a1 r a2 q Q 1 4 0 a4 q 4 0 1 a2 1 a3 < 0 ED V(r) for r a1 ? E# E q 4 r 0 ^ r r2 r a4 a3 a2 a1 V r E dr E dr a4 E dr a3 E dr a2 E dr a1 E dr 0 0 V r a1 q Q 1 4 0 a4 q 4 0 1 a2 1 a3 q 4 0 1 r 1 a1 1 8 b 0 < Va b a E dl E V...
View Full Document

This document was uploaded on 03/08/2012.

Ask a homework question - tutors are online