Physics Technology Update (4th Edition)

Published by Pearson
ISBN 10: 0-32190-308-0
ISBN 13: 978-0-32190-308-2

Chapter 20 - Electric Potential and Electric Potential Energy - Problems and Conceptual Exercises - Page 722: 97

Answer

(a) $1.2\times 10^7N/C$; directed into the cell (b) $97mV$; the outer wall

Work Step by Step

(a) We know that $E=\frac{\sigma}{K\epsilon_{\circ}}$ We plug in the known values to obtain: $E=\frac{0.58\times 10^{-3}C/m^2}{(5.5)(8.85\times 10^{-12}C^2/Nm^2)}$ $E=1.2\times 10^7N/C$ directed into the cell. (b) We know that $V=\frac{\sigma d}{K\epsilon_{\circ}}$ We plug in the known values to obtain: $V=\frac{(0.58\times 10^{-3}C/m^2)(8.1\times 10^{-9}m)}{(5.5)(8.85\times 10^{-12}C^2/Nm^2)}$ $V=97\times 10^{-3}V$ $V=97mV$ Thus, the outer wall has the higher potential.
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