Answered: Charge of -3nC is placed 2cm to the…

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter20: Static Electricity

Section: Chapter Questions

Problem 2STP

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Question

Charge of -3nC is placed 2cm to the left of a +2nC charge. What is the magnitude of the force felt on a 1nC test charge placed exactly in the middle of two charges?

a) 4.5 x 10^5 N

b) 0.9 x 10^5 N

c) -0.9 x 10^5 N

d) -4.5 x 10^5 N

Expert Solution

Step 1 :Introduction

The electric force acting between two charges Q and q is calculated by using the formula $F = \frac{k Q q}{r^{2}}$ , where $k = 9 \times 10^{9} N m^{2} / C^{2}$ is the Coulomb's constant and r is the distance between the charges .

The forces acting in the system is as shown below:

Thus both the forces are acting in the left direction , so the total force is the sum of the magnitude of the individual forces and the direction will be towards negative x-axis .

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