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Physics / Physics: Principles with Applications 6 / Chapter 16 / Problem 8P

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.]A person scuffing her feet on a wool rug

Chapter 16, Problem 8P

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QUESTION:

Problem 8P

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

A person scuffing her feet on a wool rug on a dry day accumulates a net charge of –42 μC. How many excess electrons does she get, and by how much does her mass increase?

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QUESTION:

Problem 8P

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

A person scuffing her feet on a wool rug on a dry day accumulates a net charge of –42 μC. How many excess electrons does she get, and by how much does her mass increase?

ANSWER:

Solution 8P:

Step 1 of 2:-

The net charge accumulated by the person is $Q=-42\ \mu{}C$ , which is equal to $-42\times{}1{0}^{-6}\ C$ .

The charge of 1 single electron is $e=\ -1.6\times{}1{0}^{-19}\ C$ .

By the quantization of charge $Q=ne$

So, $n=Q/e=\frac{-42\times{}1{0}^{-6}}{-1.6\times{}1{0}^{-19}}$

$=26.25\times{}1{0}^{13}$ .

So, the person gets $26.25\times{}1{0}^{13}$ excess electrons.

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