In Figure P15.31, determine the point (other than infinity) at which the total electric field is zero. Figure P15.31

College Physics

11th Edition
Raymond A. Serway + 1 other
Publisher: Cengage Learning
ISBN: 9781305952300

College Physics

11th Edition
Raymond A. Serway + 1 other
Publisher: Cengage Learning
ISBN: 9781305952300

Solutions

Chapter
Section
Chapter 15, Problem 31P
Textbook Problem

In Figure P15.31, determine the point (other than infinity) at which the total electric field is zero.Figure P15.31

Expert Solution
To determine

The point where the total electric field is zero.

Explanation of Solution

Given info: The charges q1=6.00μC and q2=2.50μC are separated by a distance r=1.0m

The electric field will not be opposite in between the charges. So, the point has to lie outside. Also, since the positive charge is greater in magnitude than the negative charge, the point must lie close to the negative charge. Let the distance of the point from the negative charge be d.

Formula to calculate the electric field due to the positive charge is,

E+=keq1(r+d)2

• ke is the Coulomb constant.
• q1 is the charge.

Formula to calculate the electric field due to the negative charge is,

E=keq2d2

• ke is the Coulomb constant.
• q2 is the charge

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