College Physics (7th Edition)

Published by Pearson
ISBN 10: 0-32160-183-1
ISBN 13: 978-0-32160-183-4

Chapter 18 - Basic Electric Circuits - Learning Path Questions and Exercises - Conceptual Questions - Page 652: 14

Answer

Time constant is longer than the half life.

Work Step by Step

In case of RC circuit for a fully charged capacitor, half life is the time to lose $50$% of the charge whereas time constant is the time to lose $63.21$% of the charge. Thus time constant is longer than half life.
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