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Physics: Principles with Applications | 6th Edition | ISBN: 9780321569837 | Authors: Douglas C. Giancoli
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[1 mC = 10–3 C, 1 ?C = 10–6 C, 1 nC = 10–9 C.]Two positive point charges are a fixed

Chapter 16, Problem 11P

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QUESTION:

Problem 11P

[1 mC = 10–3 C, 1 μC = 10–6 C, 1 nC = 10–9 C.]

Two positive point charges are a fixed distance apart. The sum of their charges is QT. What charge must each have in order to (a) maximize the electric force between them, and (b) minimize it?

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QUESTION:

Problem 11P

[1 mC = 10–3 C, 1 μC = 10–6 C, 1 nC = 10–9 C.]

Two positive point charges are a fixed distance apart. The sum of their charges is QT. What charge must each have in order to (a) maximize the electric force between them, and (b) minimize it?

ANSWER:

Solution 11P

Part (a)

Step 1 of 3:

Two positive point charges are kept at a distance r. The sum of the two charges is QT. Assume that the first charge is Q. we are going to find how to maximize the electric force between them for the given fixed distance.

The force between the two charges is expressed as

Where k is the constant and r is the constant distance between the charges.

Taking Q2T outside

Replace

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