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 714: 58d

Answer

The electric force on the proton is in the +x direction.

Work Step by Step

We can find the electric field between $x = 1.0~cm$ and $x = 3.0~cm$: $E = -\frac{\Delta V}{\Delta x}$ $E = -\frac{3.0~V-9.0~V}{0.030~m-0.010~m}$ $E = 300~V/m$ We can find the force on the proton: $F = q~E$ $F = (1.6\times 10^{-19}~C)(300~V/m)$ $F = 4.80\times 10^{-17}~N$ The magnitude of the force on the proton is $~~4.80\times 10^{-17}~N$ The direction of the electric field is from higher potential to lower potential. In the region between $x = 1.0~cm$ and $x = 3.0~cm$, the electric field points in the +x direction. Note that the charge on a proton is positive. Therefore, the electric force on the proton is in the +x direction.
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