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 720: 68

Answer

$ E=6.28\times 10^{10}\frac{V}{m}$

Work Step by Step

We know that $\frac{1}{2}\epsilon_{\circ}E^2=\frac{Energy}{Volume}$ $\implies E^2=\frac{2Energy}{Volume\times \epsilon_{\circ}}$ We plug in the known values to obtain: $E^2=\frac{2\times 17.5}{10^{-9}\times 8.85\times 10^{-12}}$ $E^2=3.95\times 10^{21}$ $\implies E=6.28\times 10^{10}\frac{V}{m}$
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