Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)

Published by Pearson
ISBN 10: 0133942651
ISBN 13: 978-0-13394-265-1

Chapter 28 - Fundamentals of Circuits - Exercises and Problems - Page 791: 32

Answer

The product $RC$ has units of $s$

Work Step by Step

We know that capacitance $C = \frac{Q}{V}$, so capacitance can be expressed in units of $\frac{C}{V}$, (where $C$ is units of coulombs) We know that resistance $R = \frac{V}{I}$, so resistance can be expressed in units of $\frac{V}{A}$ We can find the units of $RC$: $\frac{C}{V}\times \frac{V}{A} = \frac{C}{A} = \frac{C}{C/s} = s$
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