College Physics (7th Edition)

Published by Pearson
ISBN 10: 0-32160-183-1
ISBN 13: 978-0-32160-183-4

Chapter 18 - Basic Electric Circuits - Learning Path Questions and Exercises - Exercises - Page 653: 8

Answer

a). Suppose we have 3 5-ohms in series and this combination in parallel with a 5-ohm. Battery volt = 12V Then , $\frac{1}{R_{eq}}=\frac{1}{5+5+5}+\frac{1}{5}=\frac{1}{15}+\frac{1}{5}$ Thus, $R_{eq}=3.75ohm$ So our assumption is correct. b). Now current in the 3-5ohm resistors in series $=12/15=0.8A$ Current in the other 5-ohm resistor in parallel =$12/5=2.4A$ Voltage across the 3-5ohm resistors in series $=12/3=4V$ and voltage across the other 5ohm resistor in parallel $=12V$

Work Step by Step

a). Suppose we have 3 5-ohms in series and this combination in parallel with a 5-ohm. Battery volt = 12V Then , $\frac{1}{R_{eq}}=\frac{1}{5+5+5}+\frac{1}{5}=\frac{1}{15}+\frac{1}{5}$ Thus, $R_{eq}=3.75ohm$ So our assumption is correct. b). Now current in the 3-5ohm resistors in series $=12/15=0.8A$ Current in the other 5-ohm resistor in parallel =$12/5=2.4A$ Voltage across the 3-5ohm resistors in series $=12/3=4V$ and voltage across the other 5ohm resistor in parallel $=12V$
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