Solving Jackson 6.5c: Struggling with -1/3 Factor

[shehry1]

Homework Statement

I need some guidance concerning Jackson 6.5c. Specifically I cannot get the -1/3 factor that the statement says I should.

Homework Equations

Solutions to part a and b which are given in the problem statement.

The Attempt at a Solution

-I started from the volume integral of the curl of (phi * H)
-Introduced a potential of the form: Ez.
-and by a succession of vector identities given on the cover of Jackson along with equation 6.108 was able to come to [E x (volume integral) (z x J)].

Now:
-How can I convert the volume integral to m so that I get the right factors.
-I tried to use the method on page 185 but without luck.

Thanks for your help in advance

 

[Jhero]

!

Dear student,

It seems like you are on the right track with your attempt at solving this problem. To convert the volume integral to m, you can use the fact that 1 m = 1/(10^3 * 10^-6) m^3. This will give you the correct units for the final answer.

As for the -1/3 factor, it may help to look at the vector identities you used and see if any of them involve a factor of -1/3. Additionally, make sure you are using the correct sign conventions for the curl and the cross product.

If you are still having trouble, it may be helpful to consult with your peers or your professor for further clarification. Good luck!