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 - Discussion Questions - Page 980: Q29.4

Answer

See explanation.

Work Step by Step

$$\epsilon = vBL$$ Consider the units of the right hand side of this equation. The units of tesla are a newton per amp-meter. $$\frac{m}{s}\frac{N}{A\cdot m}m$$ An ampere is a coulomb per second. $$\frac{m}{s}\frac{N \cdot s}{C\cdot m}m$$ $$\frac{N \cdot m}{C }$$ A newton-meter is a joule. $$\frac{J}{C }$$ A joule per coulomb is a volt, which are the units of emf.
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