Physics Technology Update (4th Edition)

Published by Pearson
ISBN 10: 0-32190-308-0
ISBN 13: 978-0-32190-308-2

Chapter 21 - Electric Current and Direct-Current Circuits - Conceptual Questions - Page 754: 8

Answer

Yes. See below.

Work Step by Step

The equivalent resistance of resistors in parallel is equal to $$\frac{1}{R_{eq}}=\sum \frac{1}{R_i}$$ Therefore, if two resistors $R$ are connected in parallel, the equivalent resistance equals $$\frac{1}{R_{eq}}=\frac{1}{R}+\frac{1}{R}=\frac{2}{R}$$ $$R_{eq}=\frac{R}{2}$$ $\frac{R}{2}$ is less than $R$; therefore, it is possible.
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