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Unformatted text preview: 28. The charge distribution in this problem is equivalent to that of an inﬁnite sheet of charge with surface
charge density σ plus a small circular pad of radius R located at the middle of the sheet with charge
density −σ . We denote the electric ﬁelds produced by the sheet and the pad with subscripts 1 and 2,
respectively. The net electric ﬁeld E is then
E =
= where Eq. 2326 is used for E2 . E1 + E2 =
2 ε0 √ σ
2 ε0 σz
ˆ
k
z 2 + R2 ˆ (−σ )
k+
2 ε0 1− √ z2 z
+ R2 ˆ
k ...
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This note was uploaded on 11/12/2011 for the course PHYS 2001 taught by Professor Sprunger during the Fall '08 term at LSU.
 Fall '08
 SPRUNGER
 Physics, Charge

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