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Transcript
```Chapter 18 Electric Forces and Electric Fields
The equation for Coulombâs law is
Kq1 q 2
FE =
r2
where FE is the electric force, q1 and q2 are the charges, r is the distance between their
centers, and K is a constant which equals 9 x 109 Nm2/C2.
r
F
-q1
+q2
Sometimes the constant K is written as K =
1
4ÏÎµ o
, where Îµo = 8.85 x 10-12 C2 / Nm2.
Example 4
r
+2 ÂµC
-4 ÂµC
Two point charges q1 = +2 ÂµC and q2 = - 4 ÂµC are separated by a distance r, as shown
above.
(a) If the force between the charges is 2 N, what is the value of r?
(b) Where could you place a third charge q3 = +1 ÂµC on the horizontal axis so that there
would be no net force acting on q3? Find an equation which could be solved for x, where
x is the distance from the +2 ÂµC charge to q3. It is not necessary to solve this equation.
Solution
(a)
Kq1 q 2
FE =
r2
r=
ï£«
Nm 2
ï£¬ï£¬ 9 x10 9
C2
Kq1 q 2
ï£­
=
FE
2N
ï£¶
ï£·ï£·
ï£¸
= 0.19 m
205
```
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