University Physics with Modern Physics (14th Edition)

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

Chapter 30 - Inductance - Problems - Exercises - Page 1019: 30.75

Answer

Choice C.

Work Step by Step

The magnetic energy stored is $U=\frac{1}{2}Li^2$. The heat Q needed to evaporate a mass m of liquid is $Q=mL_v$. The magnetic energy stored in the magnet is converted into thermal energy. This evaporates the liquid helium. U = Q. $$ \frac{1}{2}Li^2=mL_v$$ $$ m=\frac{ Li^2}{2L_v} =\frac{ (4.4H)(750A)^2}{2(20900J/kg)}=59kg$$ That’s about 60 kg.
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