Physics: Principles with Applications (7th Edition)

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

Chapter 27 - Early Quantum Theory and Models of the Atom - Problems - Page 799: 2

Answer

a. $v=7.23\times10^6m/s$ b. $r=1.58cm$

Work Step by Step

a. The electric force, qE, balances the magnetic force, qvB, so v = E/B. $$v=\frac{E}{B}=\frac{1.88\times10^4V/m}{2.60\times10^{-3}T}=7.23\times10^6m/s$$ b. Use the expression derived in Example 20–6, on page 567, for a charged particle moving in a magnetic field. $$r=\frac{mv}{qB}$$ $$r=\frac{(9.11\times10^{-31}kg)( 7.23\times10^6m/s)}{(1.60\times10^{-19}C)( 2.60\times10^{-3}T)}$$ $$r=1.58cm$$
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