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: 21

Answer

Internal resistance of the battery is $10Ω$ and emf of the battery is $60 V$

Work Step by Step

When the resistance across the battery is 0 the current is generated only by the internal resistance According to the graph when resistance across cell is 0 the current is 6A and when a 20Ω resistance across the cell, the current is 2A $V=IR$ Emf of the cell is constant. Considering $r$ is the internal resistance of the battery, $6A\times r=2A\times (r + 20Ω)$ $r = 10Ω$ Considering internal resistance of the cell is 10Ω we can find the emf of the battery as, $V = 6A\times 10Ω$ $V = 60V$
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