Chapter 15.4, Problem 2E

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8th Edition

James Stewart

ISBN: 9781285741550

Textbook Problem

Electric charge is distributed over the disk *x*^{2} + *y*^{2} ≤ 1 so that the charge density at (*x*, *y*) is

To determine

**To find:** The total charge on the given disk.

Explanation

**Given:**

The region *D* is the disk

The charge density at

**Formula used:**

The total charge *Q* on the given rectangle *R* is,

Here, the charge density is given by

If *R* given by

If

**Calculation:**

Total charge *Q* on the given rectangle *R* is,

Substitute

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