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Unformatted text preview: center of the sphere. Outsite the sphere, r > R, we have calculated that 2 4 r Q E πε = r and we know that ∫ ∫ − = ⋅ − = − = ∆ r R i f dr r Q r d E V V V 2 4 r r ( ) ( ) ( ) ( ) ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ − ⋅ + = ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ + − ⋅ − = ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ − ⋅ − = − = − = ∆ ∫ R r Q R V r V R r Q r Q dr r Q R V r V V r R r R 1 1 4 1 1 4 1 4 1 4 2 Right when r = R, we have ( ) ( ) R V r V = ; for r > R potential starts to decrease, approaching zero as r goes to infinity....
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This note was uploaded on 04/23/2010 for the course   taught by Professor  during the Spring '10 term at Bilkent University.
 Spring '10
 

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