P22_013.PDF

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Chapter 22 - 22.13
13. The magnitude of the force of either of the charges on the other is given by
F =
1
4 πε 0
q ( Q
−
q )
r 2
where r is the distance between the charges. We want the value of q that maximizes the function
f ( q )= q ( Q
q ). Setting the derivative df / d q equal to zero leads to Q
−
2 q =0,or q = Q/ 2.
−
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