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Unformatted text preview: 28. Consider an inﬁnitesimal segment of the rod, located between x and x + dx. It has length dx and contains
charge dq = λ dx, where λ = Q/L is the linear charge density of the rod. Its distance from P1 is d + x
and the potential it creates at P1 is
dV = 1
dq
1 λ dx
=
.
4πε0 d + x
4πε0 d + x To ﬁnd the total potential at P1 , integrate over the rod:
V= λ
4πε0 L
0 λ
dx
ln(d + x)
=
d+x
4πε0 L =
0 Q
L
ln 1 +
4πε0 L
d . ...
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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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