Trying to understand electromagnetism

[Delta2]

Let me ask you something, you study Maxwell's equation in integral form or in differential form or both?

 

[vasya]

so how to simulate maxwell equations that way so I can get EM waves shown on screen of my computer? To simulate them in such a way so they will travel at a speed of light. I'm software developer myself, so I want to be able to simulate EM field in my head or at least on my pc. I call this an understanding.

 

[PeroK]

so how to simulate them that way so I can get EM waves shown on screen of my computer? I'm software developer myself, so I want to be able to simulate EM field in my head or at least on my pc. I call this an understanding

You are then talking about a specific solution to Maxwell's equations. Note that an EM wave is actually a vacuum solution (where there are no charges or currents). For example:
$$\vec E(z, t) = E_0 \cos(kz - \omega t) \hat x + \frac 1 c E_0 \cos(kz - \omega t) \hat y$$You can check that is a wave moving at speed $c$ in the $z$ direction and confirm that it satisfies Maxwell's equations in a vacuum. Note that $\omega = ck$.

You'd need 3D graphics of some description to simulate that on a screen.

 

[vasya]

maybe numerical methods would be more suitable for my problem... because for me your formula seems like completely unconnected with maxwell equations... I'm more like a geometry/visual thinking person. I hope to get understanding of em waves through geometry of maxwell equations one day

 

[Delta2]

Just keep studying, never give up. Maybe your thinking is correct and I just fail to understand it.

 

[osilmag]

Homework Statement:: -
Relevant Equations:: -

I want to determine an electric and magnetic field vectors in any arbitrary point in any time.

$E=\frac {kq} {r^2}$

$B=\frac {\mu I} {2 \pi r}$

 

[BvU]

Homework Statement:: -
Relevant Equations:: -

Hi! I'm trying to understand electromagnetism. Please help me.
Say we have an electron start moving a sine wave like pattern along z axis with amplitude of 1m up and down with frequency equal to 100Mhz. I want to determine an electric and magnetic field vectors in any arbitrary point in any time. But as far as I understand this requires knowledge about every other point in space in every previous time frame. I know what is divergence and curl (not fully, but somehow). I know meaning of maxwell equations. But all of these still is not enough for understanding em waves I want to be able to create em field simulations in something like MATLAB.

Google 'dipole radiation pattern'.
It matches your problem and caters to your visual orientation...

$\$

 

[tech99]

Assuming we have the resources of intelligence, mathematical ability, money and time, it would be frustrating to finally discover that Maxwell did not actually say how to create an EM wave.

 

[vela]

Say we have an electron start moving a sine wave like pattern along z axis with amplitude of 1m up and down with frequency equal to 100Mhz. I want to determine an electric and magnetic field vectors in any arbitrary point in any time. But as far as I understand this requires knowledge about every other point in space in every previous time frame. I know what is divergence and curl (not fully, but somehow). I know meaning of maxwell equations. But all of these still is not enough for understanding em waves I want to be able to create em field simulations in something like MATLAB.

I think you have bitten off way more than you can chew here, and I'm not sure how much insight into E&M solving this problem will actually give you. Nevertheless, if you want to persist, I suggest you first look into a simpler problem—numerical solutions of Laplace's equation, $\nabla^2 V=0$, for example—to get ideas for what you might try.