Lecture-5-01-29-08

Lecture-5-01-29-08 - Lecture-5 Electric potential for...

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1 Lecture-5 Electric potential for different charge distributions An electron volt (one eV) Energy to move an electron over distance where potential changes by Δ V= 1V(volt) is U = e V = (1 . 602 × 10 - 19 C)(1 . 0V) = 1 . 602 × 10 - 19 J 1 . 0 eV Cathode Ray Tube (CRT) Electron Gun τ ρ πε σ λ d r V dA r V dr r V r Q V o S o L o o ∫∫∫ ∫∫ = = = = 4 1 4 1 4 1 4 1 : point charge : line charge : surface h
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2 r Q r r r dr r V r r rdr r dr r V o o o r o o o o r r o r o o o o 1 4 1 3 3 2 2 3 3 3 3 3 2 3 2 2 2 3 πε ε ρ = = = = + = Ex. Potential due to solid sphere of uniform charge density Find E by Gauss’s law and find V by integrating from infinity to r . Then Therefore, potential at r is computed by the work needed to bring a unit charge from infinity (where potential is set at zero) to r : = r r d E V V r r r ) 3 1 )( 2 )( 2 ( 4 ) 3 1 )( 2 )( 2 ( 4 sin 1 3 2 3 2 2 0 2 o o o r o o o r r E r r E r dr d d A d E π θ ϕ = = = ∫∫ ∫∫ r r , if r < r o , if r > r o
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Lecture-5-01-29-08 - Lecture-5 Electric potential for...

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