The question is not asking you to derive a trajectory for the test charge so the specific forces don't seem to be overly important. Yes moving charges create magnetic fields and radiate electomagnetic enegry but considering these things seems to be overcomplicating the question some what.
I...
I've no confidence that I've latexed that correctly and my work computer won't show me the symbols so here's the equation in equation again
div(grad(1/|r|)) is proportional to deltafunction(r)
Homework Statement
Can anyone remember a decent argument/derivation for the following representation of the delta function.
Homework Equations
$ \nabla^2 \frac{1}{|r|} =\delta(r)$
(probally up to some multipicative constant $\frac{1}{2\pi}$ or something
The Attempt at a...
Forget about the actual values of hight, velocity ect to begin with.
Set about working out the of max hight of a trajectory in terms of \theta and the initial velocity. Max hight is dependent only on the verticle component of the initial velocity. clearly the verticle movement of the...
You need to use contour integration in the complex plane:
Choose a closed contour part of which runs from negitive infinity to possitive infinity on the real axis. Then use either the 'Cauchy Integral Formula' or the 'Residue Theorm' to integrate the function over your chosen contour. Details...