University Physics with Modern Physics (14th Edition)

Published by Pearson
ISBN 10: 0321973615
ISBN 13: 978-0-32197-361-0

Chapter 25 - Current, Resistance, and Electromotive Force - Problems - Exercises - Page 841: 25.2

Answer

a) The current in amps is: $I =8.75\times10^{-2}A$ b) The drift velocity is $v_{d}$ $= 1.77\times10^{-6} m/s^{2}$

Work Step by Step

a) $I=\frac{Q}{t}$ $I = \frac{420 C}{4800 s}$ $I =8.75\times10^{-2}A$ b) $I = qnv_{d}A$ Rearranging for the drift velocity, yields the equation: $v_{d} = \frac{I}{qnA}$. Since the area is : $A =πr^{2}$, this can be substituted for the area in the equation. Therefore, the drift velocity is: $v_{d} =\frac{8.75\times10^{-2}A}{5.8\times10^{28}\timesπ\times(0.0013m)^{2}\times(1.6\times10^{-19}C)}$ $v_{d}$ $= 1.77\times10^{-6} m/s^{2}$
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