Lienard-wichert potentials

[duck_21]

Homework Statement

I want to calculate the lienard-wichert vector potential, based on the retarded potential expression given in Heald-Marion (classical electromagnetic radiation).

Homework Equations

I get: A=v$$\Phi$$, where $$\Phi$$ is the lienard-wichert scalar potential and v is the charge velocity. I am missing a factor of 1/c. I think I'm probably making a stupid mistake somewhere in there, the problem looks really simple. I might be making the wrong variable change or something.

The Attempt at a Solution

I get: A=v$$\Phi$$, where $$\Phi$$ is the scalar potential.

Thanks!

 

[Jhero]

I would first start by double-checking my calculations to see if I made any mistakes. It's always possible to overlook something, especially when dealing with complex equations. I would also recommend checking the units to make sure they are consistent.

If everything checks out and the factor of 1/c is still missing, there could be a few potential explanations. One possibility is that the equation in the Heald-Marion textbook is missing the 1/c term, in which case it would be worth reaching out to the authors or checking other sources for confirmation.

Another possibility is that the equation in the textbook is in a different form than the one you are using. It's always important to carefully examine the assumptions and definitions used in a particular equation or formula. For example, the 1/c term could be included in a different term or constant in the equation.

If all else fails, it's always a good idea to consult with colleagues or other experts in the field to get their insights and perspectives on the problem. Sometimes a fresh pair of eyes can help spot a mistake or offer a different approach to solving the problem.