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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
1 λ dx
4πε0 d + x
4πε0 d + x To ﬁnd the total potential at P1 , integrate over the rod:
ln(d + x)
4πε0 L =
ln 1 +
d . ...
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