Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 23 - Gauss' Law - Problems - Page 683: 58

Answer

$\phi=7.1\frac{N.m^2}{C}$

Work Step by Step

We know that: $\phi=\frac{q}{\epsilon_{\circ}}$ $\implies \phi=\frac{\sigma \pi r^2}{\epsilon_{\circ}}$ $\sigma$ and $\pi r^2$ represent surface charge density and area respectively. We plug in the known values to obtain: $\phi=\frac{8.0\times 10^{-9}\times 3.1416\times (0.050)^2}{8.85\times 10^{-12}}=7.1\frac{N.m^2}{C}$
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