p43_046 - U = k (2 e )(90 e ) r = 8 . 99 10 9 V m C ( 3 . 2...

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46. Eq. 25-43 gives the electrostatic potential energy between two uniformly charged spherical charges (in this case q 1 =2 e and q 2 = 90 e )with r being the distance between their centers. Assuming the “uniformly charged spheres” condition is met in this instance, we write the equation in such a way that we can make use of k =1 / 4 πε 0 and the electronvolt unit:
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Unformatted text preview: U = k (2 e )(90 e ) r = 8 . 99 10 9 V m C ( 3 . 2 10 19 C ) (90 e ) r = 2 . 59 10 7 r eV with r understood to be in meters. It is convenient to write this for r in femtometers, in which case U = 259 /r MeV. This is shown plotted below. 10 20 30 MeV 20 40 60 80 100 fm...
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