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 25 - The Electric Potential - Exercises and Problems: 21

Answer

$ 1V/m=1N/C$

Work Step by Step

Potential Difference is given by $V= Ed$ or $E=\frac{V}{d}$ Units are as follows: $E=\frac{V}{d}=\frac{V}{m}$ ... (1) The force exerted by a charge placed in the electric field is given as $F=qE$ or $E= \frac{F}{q}$ Units are ase follows: $E= \frac{F}{q}=\frac{N}{C}$... (2) From equations (1) and (2), we have $\frac{V}{m}=\frac{N}{C}$ Hence, $ 1V/m=1N/C$
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