> > > > Problem 38P

# Four point charges are located at the corners of a square

## Problem 38P Chapter 19

Physics with MasteringPhysics | 4th Edition

• 2901 Step-by-step solutions solved by professors and subject experts
• Get 24/7 help from StudySoup virtual teaching assistants

Physics with MasteringPhysics | 4th Edition

4 5 0 258 Reviews
12
2
Problem 38P

Four point charges are located at the corners of a square with sides of length a. Two of the charges are +q, and two are −q, Find the magnitude and direction of the net electric force exerted on a charge +Q, located at the center of the square, for each of the following two arrangements of charge: (a) The charges alternate in sign (+q, −q, +q, −q) as you go around the square; (b) the two positive charges are on the top corners, and the two negative charges are on the bottom corners.

Step-by-Step Solution:

Solution 38P

Step 1 of 4</p>

(a)

Here we need to calculate the magnitude and direction of net electrostatic force experienced by a charge  which is located at the center of the square, for the given charge configuration.

The charges configuration as we go around the square, the charges have alternate polarity with sign .

Step 2 of 4</p>

Since the charges with same polarity are placed at the diagonal corners of the square, the force exerted by each charge on the charge at center, get cancelled with each other individual forces.

This individual forces gets cancelled giving rise to zero net electrostatic force on the charge at the center of square.

Therefore, for the given charge configuration, the net force on the charge located at the center of square is zero.

Step 3 of 4

Step 4 of 4

##### ISBN: 9780321541635

This full solution covers the following key subjects: Charges, square, corners, located, Charge. This expansive textbook survival guide covers 32 chapters, and 3833 solutions. Since the solution to 38P from 19 chapter was answered, more than 246 students have viewed the full step-by-step answer. Physics with MasteringPhysics was written by Sieva Kozinsky and is associated to the ISBN: 9780321541635. The full step-by-step solution to problem: 38P from chapter: 19 was answered by Sieva Kozinsky, our top Physics solution expert on 07/27/17, 10:59AM. The answer to “Four point charges are located at the corners of a square with sides of length a. Two of the charges are +q, and two are ?q, Find the magnitude and direction of the net electric force exerted on a charge +Q, located at the center of the square, for each of the following two arrangements of charge: (a) The charges alternate in sign (+q, ?q, +q, ?q) as you go around the square; (b) the two positive charges are on the top corners, and the two negative charges are on the bottom corners.” is broken down into a number of easy to follow steps, and 93 words. This textbook survival guide was created for the textbook: Physics with MasteringPhysics, edition: 4th.

#### Related chapters

×
Get Full Access to Physics With Masteringphysics - 4th Edition - Chapter 19 - Problem 38p

Get Full Access to Physics With Masteringphysics - 4th Edition - Chapter 19 - Problem 38p

I don't want to reset my password

Need help? Contact support

Need an Account? Is not associated with an account
We're here to help