Conceptual Physics (12th Edition)

Published by Addison-Wesley
ISBN 10: 0321909100
ISBN 13: 978-0-32190-910-7

Chapter 23 - Think and Discuss: 117


Connect four 40-ohm resistors in parallel.

Work Step by Step

The equation is not given in this textbook, but for 4 resistors in parallel, the following relation holds. $$\frac{1}{R_{parallel}} = \frac{1}{R_{1}} + \frac{1}{R_{2}} + \frac{1}{R_{3}} + \frac{1}{R_{4}} $$ Apply the equation to this problem. $$\frac{1}{R_{parallel}} = 4 \times \frac{1}{40 \Omega} = \frac{1}{10 \Omega} $$ $$R_{parallel} = 10 \Omega$$
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