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 793: 61

Answer

Current is 2A

Work Step by Step

First find the total resistance of the circuit, $R = 2Ω + 4Ω + \frac{20Ω\times5Ω}{20Ω + 5Ω} = 10Ω$ Current across the cell can be taken as, $$V = IR$$ $100V = I \times 10Ω$ $I = 10A$ Voltage drop across the 20Ω resistor and 5Ω resistor are same as the are parallel and is also equal to the voltage drop across the equivalent of both these resistors. Hence current across 20Ω resistor can be found as $10A\times4Ω= I\times20Ω$ $I=2A$
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