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
P
1
is
d
+
x
and the potential it creates at
P
1
is
dV
dq
d
x
dx
d
x
=
+
=
+
1
4
1
4
0
0
π
π
λ
ε
ε
.
To find the total potential at
P
1
, we integrate over the length of the rod and obtain (in SI

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- Spring '10
- Rebello,NobelS
- Charge, International System of Units, charge density, linear charge density