Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 7: Transcendental Functions - Section 7.4 - Exponential Change and Separable Differential Equations - Exercises 7.4 - Page 401: 28

Answer

$\approx 92.1 s$

Work Step by Step

As we are given that when the voltage is 10% of its original value this means that we have $V =0.1 V_0$ Thus, $V(t)=V_0e^{-t/40}$ $(0.1) V_0=V_0e^{-t/40}$ Also, $t=-40 [\ln (0.1)] \implies t \approx 92.1 s$ Thus, $t \approx 92.1 s$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.