Fundamentals of Physics Extended (10th Edition)

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

Chapter 24 - Electric Potential - Problems - Page 715: 81e

Answer

The magnitude of the electric force on the electron is $~~1.6\times 10^{-17}~N$

Work Step by Step

We can find the strength of the electric field between $x = 5.0~cm$ and $x = 6.0~cm$: $E = -\frac{\Delta V}{\Delta x}$ $E = -\frac{5.0~V-6.0~V}{0.060~m-0.050~m}$ $E = 100~V/m$ Since the electric field points from higher potential to lower potential, the electric field is in the +x direction. Note that the charge on an electron is negative. We can find the force on the electron: $F = q~E$ $F = (-1.6\times 10^{-19}~C)(100~V/m)$ $F = -1.6\times 10^{-17}~N$ The magnitude of the electric force on the electron is $~~1.6\times 10^{-17}~N$.
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