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 585: 36

Answer

4.4 A in the same direction as the first current.

Work Step by Step

If the currents are in the same direction, then the 2 magnetic fields, halfway between the currents, will point in opposite directions. Their magnitudes are subtracted, and the net field can be zero. $$B_{net}=0=\frac{\mu_oI_1}{2\pi r_1}-\frac{\mu_oI_2}{2\pi r_2}$$ $$I_2=I_1\frac{r_2}{r_1}$$ $$I_2=(2.0A)\frac{4.8cm}{2.2cm}=4.4A$$
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