Fundamentals of Physics Extended (10th Edition)

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

Chapter 22 - Electric Fields - Problems - Page 657: 56b

Answer

$\tau = 8.5\times 10^{-22}~N\cdot m$

Work Step by Step

$p$ is the dipole moment $E$ is the electric field Note that when the dipole moment is perpendicular to the electric field, the angle $\theta$ between the directions is $\theta = 90^{\circ}$ We can find the magnitude of the torque on the dipole when the dipole moment is perpendicular to the electric field: $\tau = p \times E$ $\tau = qd~E~sin~\theta$ $\tau = (2)(1.6\times 10^{-19}~C)(0.78\times 10^{-9}~m)(3.4\times 10^6~N/C)~sin~90^{\circ}$ $\tau = 8.5\times 10^{-22}~N\cdot m$
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