The total amount of charge that has entered a wire at time t is Q(t) = (27 C) (1. - e-t/2.1), with t in seconds and t ≥ 0. a. Graph Q vs t for the interval 0 ≤ t ≤ 10 s. b. Find an expression for the current in the wire at time t. c. What is the maximum value of the current?

The total amount of charge that has entered a wire at time t is Q(t) = (27 C) (1. - e-t/2.1), with t in seconds and t ≥ 0. a. Graph Q vs t for the interval 0 ≤ t ≤ 10 s. b. Find an expression for the current in the wire at time t. c. What is the maximum value of the current?

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter9: Current And Resistance

Section: Chapter Questions

Problem 24P: A conductor carries a current that is decreasing exponentially with time. The current is modeled as...

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Concept explainers

Microscopic view of current

In physics, the term current is expressed as the rate of flow of electric charges across the area per unit time (I=q/t). It propagates along in the direction of the motion of positive charges. When the current is caused by the motion of electrons, the direction of the current is opposite to the flow.

Question

The total amount of charge that has entered a wire at time t is Q(t) = (27 C) (1. – e-t/2.1), with t in seconds and t ≥ 0.
a. Graph Q vs t for the interval 0 ≤ t ≤ 10 s.
b. Find an expression for the current in the wire at time t.
c. What is the maximum value of the current?
d. Graph the current in the wire as a function of time for the same interval as in part a.

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