lecture10 - Electric Potential(III Text sections 25.5 25.6...

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Electric Potential (III) Text sections 25.5, 25.6 Fields, potential, and conductors Practice: Chapter 25, problems 33, 43, 49, 63, 67 Read page 789, Van de Graaf generator Potential and Continuous Charge Distributions Potential and Continuous Charge Distributions We can use two completely different methods: 1. 2. Find from Gauss’s Law, then… , r dq k dV e = = source e r dq k V E r , s d E dV r r = = B A A B s d E V V r r
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Example: Thin Uniformly Charged Rod Example: Thin Uniformly Charged Rod L + + + + + + + + + + + + + + + + + O b Total charge Q, uniform linear charge density λ L Q = λ (So ) Find : V at point O Example: Charged Semicircle Example: + + + + + + + + + + R dq Total charge Q, uniform Find : V at centre C (Homework exercise: also calculate the electric field E , which is harder.) C
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1) Find the electric field as a function of r using Gauss’s Law. 2) Imagine pushing a “test charge” in from infinity along a radial line: the potential change with each small change dr in distance is dV = − E(r) dr .
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