How to get eqn. 2.5 from John Jackson's electrodynamics

  • If you want to know something about the GRE subject test in physics then chances are you will find it in here.
  • If something about the physics GRE it isn't already discussed in here then please put it in here.

yyxt
Posts: 1
Joined: Sat Oct 07, 2006 5:59 am

How to get eqn. 2.5 from John Jackson's electrodynamics

Postby yyxt » Mon May 28, 2007 7:19 pm

Can anyone studying John Jackson's Classical Electrodynamics help? I don't know how eqn. 2.5 was obtained.

My method was to substitute eq. 2.4 back to 2.1, then do the derivative. But it did not work. I used Mathematica, still it won't give me the right equation.

Can someone give me an idea?
Thanks

A.Sphere
Posts: 1
Joined: Wed Jul 25, 2007 10:28 pm

Sorry that this is a little late - I am new to the forum!

Postby A.Sphere » Wed Jul 25, 2007 10:39 pm

With a bit of ugly algebra you are correct.

Plug (2.4) into (2.1). Then take the derivative with respect to x. After you take the derivative let x = a. Then multiply both sides by a negative epsilon.

Make sure that you realize that x and y are vectors seperated by angle gamma such that

|x-y| = [x^2 - 2xycos(gamma) +y^2]^(1/2)

and that

|x-y'| = [x^2 - 2xy'cos(gamma) +y'^2]^(1/2)

I did this one out by hand - took a few pages but it simplified to Jackson's expression.




Return to “Physics GRE Forum”

Who is online

Users browsing this forum: No registered users and 2 guests