Consider a uniformly charged solid sphere of radius ? and total charge ? centered on the origin. In this problem you will calculate the potential ?(?) for ? < ? in two different ways. Use infinity as the reference point (i.e., ?(∞) = 0). (a) Use Eq. 2.21 of Griffiths to compute the potential at ? < ?. (b) Use Eq. 2.29 of Griffiths to compute the potential at ? < ?.

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Consider a uniformly charged solid sphere of radius ? and total charge ? centered on the origin. In this problem you will calculate the potential ?(?) for ? < ? in two different ways. Use infinity as the reference point (i.e., ?(∞) = 0). (a) Use Eq. 2.21 of Griffiths to compute the potential at ? < ?. (b) Use Eq. 2.29 of Griffiths to compute the potential at ? < ?.
In particular, for a volume charge, it's
V(r):
=
1
[p(r) dt'.
(2.29)
Transcribed Image Text:In particular, for a volume charge, it's V(r): = 1 [p(r) dt'. (2.29)
r
-SE
V(r) = -
E. dl.
(2.21)
Transcribed Image Text:r -SE V(r) = - E. dl. (2.21)
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