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Electric Potential Difference
Example 5.4
What is the potential at the center of the square shown in figure 5.9?
Assume that q 1 = +1 ×10 -8 C, q 2 = -2×10 -8 C, q 3 =+3×10 -8 C, q 4 =+2×10 -8 C,
and a=1m.
Qq 1
Aa
Q2q
2
Solution
∴V
=
∑
n
V
n
=
1 q 1 + q2
+ q3
+ q
4πε ο r
4
Aa
P
Aa
The distance r for each charge from P is 0.71m
9
−8
9×
10 (1 − 2 + 3 + 2) × 10
∴V =
= 500V
0.71
Qq 4
Aa
Figure 5.9
Qq 3
Example 5.5
Calculate the electric potential due to an electric dipole as shown in
figure 5.10.
P
+q
r 1
r
2a
r 2
-q
Figure 5.10
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