University Physics with Modern Physics (14th Edition)

Published by Pearson
ISBN 10: 0321973615
ISBN 13: 978-0-32197-361-0

Chapter 29 - Electromagnetic Induction - Problems - Exercises - Page 983: 29.24

Answer

6.48 mN to the left.

Work Step by Step

The magnetic flux through the loop is decreasing. The motional emf is vBL. Divide emf by the resistance to find the current. $$I=\frac{vBL}{R}$$ The force is given by $ILB$. $$F=\frac{vBL}{R}LB=\frac{(3.00m/s)(0.0150m)^2(2.40T)^2}{0.600\Omega}=6.48mN$$ By Lenz’s law, the force on the left-hand end of the loop is to the left, which would pull the loop back into the field and stop the flux from decreasing.
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