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# What is the magnitude of the electric field produced by a

## Problem 43P Chapter 19

Physics with MasteringPhysics | 4th Edition

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Problem 43P

What is the magnitude of the electric field produced by a charge of magnitude 7.50 μCat a distance of (a) 1.00 m and (b) 2.00 m?

Step-by-Step Solution:

Solution 43P

Step 1 of 5</p>

(a)

Here we need to calculate the magnitude of the electric field produced by a charge  at a distance .

Given data,

Charge

Distance

Constant,

To find,

Electric field,

Step 2 of 5</p>

Electric field strength is the force exerted by the charge at point per unit charge. That is force per unit charge.

Where E is the electric field strength, F is the force and q is the charge.

The electric field strength at point A due to the test charge q, which is at a distance of r from the point A is given by,

Therefore, the electric force if there is a test charge q at point A,

Force is directly proportional to the product of charges and inversely proportional to the square of distance between them,

Using above equation, the electric field strength becomes,

…………….1

Step 3 of 5</p>

Substituting ,  and   in equation 1,

Therefore, the magnitude of the electric field produced by a charge  at a distance  is .

Step 4 of 5

Step 5 of 5

##### ISBN: 9780321541635

The answer to “What is the magnitude of the electric field produced by a charge of magnitude 7.50 ?Cat a distance of (a) 1.00 m and (b) 2.00 m?” is broken down into a number of easy to follow steps, and 26 words. This textbook survival guide was created for the textbook: Physics with MasteringPhysics, edition: 4th. Physics with MasteringPhysics was written by and is associated to the ISBN: 9780321541635. This full solution covers the following key subjects: magnitude, ectric, distance, Charge, Field. This expansive textbook survival guide covers 32 chapters, and 3833 solutions. Since the solution to 43P from 19 chapter was answered, more than 242 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 43P from chapter: 19 was answered by , our top Physics solution expert on 07/27/17, 10:59AM.

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