Fundamentals of Physics Extended (10th Edition)

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

Chapter 21 - Coulomb's Law - Questions - Page 623: 8

Answer

We can rank the arrangements according to the magnitude of the net electrostatic force on the particle with charge $+Q$: $a = d \gt b = c$

Work Step by Step

We can write an expression for the force between two charged particles: $F = \frac{q_1~q_2}{4\pi~\epsilon_0~r^2}$ Note that an electron and a proton have the same magnitude of charge. In all four cases, note that the vertical component of the force on the $+Q$ charge has the same magnitude. In arrangement (a), the horizontal components of the forces on the $+Q$ charge due to the other two particles are in the same direction. Thus the horizontal component of the force on the $+Q$ charge is a maximum. In arrangement (b), the horizontal components of the forces on the $+Q$ charge due to the other two particles are in the opposite direction. Thus the horizontal component of the force on the $+Q$ charge is not a maximum. In arrangement (c), the horizontal components of the forces on the $+Q$ charge due to the other two particles are in the opposite direction. Thus the horizontal component of the force on the $+Q$ charge is not a maximum. In arrangement (d), the horizontal components of the forces on the $+Q$ charge due to the other two particles are in the same direction. Thus the horizontal component of the force on the $+Q$ charge is a maximum. We can rank the arrangements according to the magnitude of the net electrostatic force on the particle with charge $+Q$: $a = d \gt b = c$
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