P22_008.PDF
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Chapter 22 - 22.8
8. With rightwards positive, the net force on
q
3
is
k
q
1
q
3
d
2
.
We note that each term exhibits the proper sign (positive for rightward, negative for leftward) for all
possible signs of the charges. For example, the first term (the force exerted on
q
3
by
q
1
) is negative if
they are unlike charges, indicating that
q
3
is being pulled toward
q
1
, and it is positive if they are like
charges (so
q
3
would be repelled from
q
1
). Setting the net force equal to zero and canceling
k
,
q
3
and
d
2
leads to
⇒
q
1
=
−
4
q
2
.
(2
d
)
2
+
k
q
2
q
3
q
1
4
+
q
2
=0 =
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P22_003.PDF
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