P22_050.PDF

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Chapter 22 - 22.50
50. Regarding the forces on q 3 exerted by q 1 and q 2 , one must “push” and the other must “pull” in order
that the net force is zero; hence, q 1 and q 2 have opposite signs. For individual forces to cancel, their
magnitudes must be equal:
k |
q 3 |
(3 d ) 2
= k |
q 3 |
(2 d ) 2
which simplifies to
|
q 1 |
9
= |
q 2 |
4
.
Therefore, q 1 =
−
4 q 2 .
q 1 ||
q 2 ||
9
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