Physics: Principles with Applications (7th Edition)

Published by Pearson
ISBN 10: 0-32162-592-7
ISBN 13: 978-0-32162-592-2

Chapter 20 - Magnetism - Problems - Page 584: 14

Answer

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Work Step by Step

The electric force must balance the magnetic force, since the electrons are undeflected. $$qE=qvB$$ $$v=\frac{E}{B}=\frac{7700V/m}{0.0075T}=1.0\times10^6m/s$$ If the electric field is turned off, the magnetic force causes circular motion. Use the relationship from Example 20-6, page 567, to find the radius. $$r=\frac{mv}{qB}=\frac{(9.11\times10^{-31}kg)(1.027\times10^6m/s)}{(1.6\times10^{-19}C)(0.0075T)}=7.8\times10^{-4}m $$
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