Introduction to Electrodynamics 4e

Published by Pearson Education
ISBN 10: 9332550441
ISBN 13: 978-9-33255-044-5

Chapter 2 - Section 1.2 - The Electric Field - Problem - Page 60: 1

Answer

A. Zero B. $\frac{1}{4πε_{0}}$$\frac{qQ}{r^{2}}$ Where F points towards the missing q and r is the distance from center to each numeral. C. Zero D. $\frac{1}{4πε_{0}}$$\frac{qQ}{r^{2}}$ towards the missing q

Work Step by Step

A. Forces directly opposite of each other cancel out, resulting in a net force of zero. B. By superposition, this is equivalent to (a), with an extra q at 6 o’clock—since the force of all twelve is zero, the net force is that of q only. C. Test charge Q is experiencing equal forces from all directions, resulting in a net force of zero. D. Same explanation as B.
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