Electrical Engineering: Principles & Applications (6th Edition)

Published by Prentice Hall
ISBN 10: 0133116646
ISBN 13: 978-0-13311-664-9

Chapter 1 - 1.2 - Problems - Circuits, Currents, and Voltages: P1.9

Answer

Net charge is 2 C.

Work Step by Step

To find charge we must integrate the current over time. $$q(t) = \int_{t_{0}}^{t}i(t) dt + q(t_{0})$$ So: $$q(\infty) = \int_{0}^{\infty}2e^{−t} dt$$ $$q(\infty)=-2e^{-\infty}-(-2e^0)$$$$q(\infty)=0+2$$
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