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 658: 83b

Answer

$\tau=-(1.98*10^{-26}N*m)\hat{k}$

Work Step by Step

We are given the vectors $\vec{P}$ and $\vec{E}$, so we can use the equation $\tau=\vec{P}\times\vec{E}$ $\vec{P}=(3.00\hat{i}+4.00\hat{j})(1.24*10^{-30}C*m)$ and $\vec{E}=4000 \frac{N}{C}$ So, we create a matrix (for the sake of simplicity, let $1.24*10^{-30}=x$): \[\begin{bmatrix}\hat{i}&\hat{j}&\hat{k} \\3.00x&4.00x&0\\4000 & 0 & 0\end{bmatrix}\] Taking the cross product of this matrix, we get $\tau=-(1.98*10^{-26}N*m)\hat{k}$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.