Chapter 2.7, Problem 19E

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8th Edition

James Stewart

ISBN: 9781285740621

Textbook Problem

The quantity of charge *Q* in coulombs (C) that has passed through a point in a wire up to time *t* (measured in seconds) is given by

(a) *t* = 0.5 s and (b) *t =* 1 s. [See Example 3. The unit of current is an ampere (1 A = 1 C/s).] At what time is the current lowest?

To determine

**To find**: the current when

(a)

(b)

Explanation

1**) Formula**:

Power rule,

**2) Given**:

**3) Calculation**:

Find derivative of given function to obtain an equation for current,

To determine

(a) The current at

(b) The current at

**To find:** time when current is lowest.

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