Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)

Published by Pearson
ISBN 10: 0133942651
ISBN 13: 978-0-13394-265-1

Chapter 26 - Potential and Field - Exercises and Problems - Page 737: 10

Answer

At point 1, the magnitude of the electric field is 2500 V/m and the direction is straight down. At point 2, the magnitude of the electric field is 5000 V/m and the direction is straight up.

Work Step by Step

Note that the electric field points from places of higher potential to places of lower potential. Near point 1, we can see that the potential changes by 25 V when the position changes vertically by 1 cm. We can find $E$ at point 1: $E = -\frac{\Delta V}{\Delta x}$ $E = -\frac{25~ V}{0.01~m}$ $E = -2500~V/m$ At point 1, the magnitude of the electric field is 2500 V/m and the direction is straight down. Near point 2, we can see that the potential changes by 50 V when the position changes vertically by 1 cm. We can find $E$ at point 1: $E = -\frac{\Delta V}{\Delta x}$ $E = -\frac{50~ V}{0.01~m}$ $E = -5000~V/m$ At point 2, the magnitude of the electric field is 5000 V/m and the direction is straight up.
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