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: 28

Answer

13 amperes, upward.

Work Step by Step

Use equation 20–7 to calculate the magnitude of the second current. $$F=\frac{\mu_oI_1I_2}{2\pi d}\mathcal{l}_2$$ $$I_2=\frac{2\pi d}{\mu_oI_1}\frac{F}{\mathcal{l}_2}$$ $$=\frac{2\pi (9.0\times10^{-2}m)}{ (4\pi \times10^{-7} T\cdot m/A)(28A)}\frac{7.8\times10^{-4}N}{m}$$ $$=13A$$ The force is attractive, which tells us that the currents run in the same direction. The current in the second wire is also upward.
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