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 684: 74b

Answer

$\phi=51.1\frac{N.m^2}{C}$

Work Step by Step

We know that: $\rho=\frac{q}{V}$ This can be rearranged as: $q=\rho V$ $q=4.5\times 10^{-10}C$ Now according to Gauss's law $\phi=\frac{q}{\epsilon_{\circ}}$ We plug in the known values to obtain: $\phi=\frac{4.5\times 10^{-10}}{8.85\times 10^{-12}}=51.1\frac{N.m^2}{C}$
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