College Physics (7th Edition)

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

Chapter 17 - Electric Current and Resistance - Learning Path Questions and Exercises - Exercises - Page 619: 12

Answer

a). Car batteries often rated in "Ampere-hours" or A.h. Unit of A.h = $\frac{charge}{time}\times time=charge$ So, unit of A.h is same as that of charge. $1 A.h=1 C/s\times 1 hr=1C/s\times 3600 s=3600C$ b). Rating of battery $=100A.h$ Current delivered by the battery = $5A$ Rating of battery = current delivering $\times$ time required to deliver the current $100A.h=5A\times time$ So maximum time to deliver 5A steadily = $\frac{100A.h}{5A}=20h$ c). $I=5A$ $t=20h=72000s$ charge delivered = $I\times t=5\times 72000=360000C$

Work Step by Step

a). Car batteries often rated in "Ampere-hours" or A.h. Unit of A.h = $\frac{charge}{time}\times time=charge$ So, unit of A.h is same as that of charge. $1 A.h=1 C/s\times 1 hr=1C/s\times 3600 s=3600C$ b). Rating of battery $=100A.h$ Current delivered by the battery = $5A$ Rating of battery = current delivering $\times$ time required to deliver the current $100A.h=5A\times time$ So maximum time to deliver 5A steadily = $\frac{100A.h}{5A}=20h$ c). $I=5A$ $t=20h=72000s$ charge delivered = $I\times t=5\times 72000=360000C$
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