For a point charge moving at constant velocity, calculate

Chapter 10, Problem 21P

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QUESTION:

Problem 21P

For a point charge moving at constant velocity, calculate the flux integral  (using Eq. 10.75), over the surface of a sphere centered at the present location of the charge.21

Reference equation 10.75

Questions & Answers

QUESTION:

Problem 21P

For a point charge moving at constant velocity, calculate the flux integral  (using Eq. 10.75), over the surface of a sphere centered at the present location of the charge.21

Reference equation 10.75

ANSWER:

Step 1 of  2

We have to calculate the flux integral   for a point charge moving at constant velocity

over the surface of a sphere centered at the present location of the charge .

The flux integral can be calculated  using the given expression for  .

By Gauss’s law the answer has to be

Now,

       

 

So,

     

                       

Let ,

Thus,

       

                         

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