   Chapter 16, Problem 24P

Chapter
Section
Textbook Problem

Four point charges each haring charge Q are located at the corners of a square haring sides of length a. Find symbolic expressions for (a) the total electric potential at the center of the square due to the four charges and (b) the work required to bring a fifth charge q from infinity to the center of the square.

(a)

To determine
The total electric potential at the center of the square.

Explanation

Given info: The charge at the corners is Q. The length of the square is a.

Explanation:

The distance between the charge and the center is,

r=a2+a22=a2

Formula to calculate the total electric potential at the center of the square is,

Vtotal=4(

(b)

To determine
The work required to bring a fifth charge from infinity to the center.

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