Recent content by Savant13

According to the http://en.wikipedia.org/wiki/Biot-Savart_Law" , the equation for the magnetic field around a charged particle moving with constant velocity is \mathbf{B} = \frac{1}{c^2} \mathbf{v} \times \mathbf{E} But then...

Actually you can, but it is not a continuous current. Charge density = charge / r^3. Besides, the Biot-Savart law requires a continuous current. My question remains unanswered. How can I set up my integration to work around the singularities?

current is charge density times the velocity of the generating particle, so there is current. The electric field is changing in the reference frame I am using, which also generates magnetic field. I do not have limits of integration because I do not know how to set up the limits of...

I am trying to find the magnetic field around a moving point particle. I have already found the curl. The only step remaining is to use Helmholtz's theorem. I am using http://farside.ph.utexas.edu/teaching/em/lectures/node37.html" . I am going to use equation 300, but I am not sure what to...

See the thread in the classical physics forum. I started this one because no one was responding to the other one.

I am aware of the limitations of learning advanced materials on the internet. However, until I start college next year, it is my only option. The reason the negative exponent bothered me is because (I thought) it would mean that the final field is increasing as distance increases, which...

I'm trying to find a divergenceless vector field based on its curl, and discovered that I could use a http://en.wikipedia.org/wiki/Helmholtz_decomposition" , and the article I found on this didn't make much sense to me. First, can someone confirm that the dimension referred to in the...

I'm trying to find a divergenceless vector field based on its curl, and discovered that I could use a http://en.wikipedia.org/wiki/Helmholtz_decomposition" , and the article I found on this didn't make much sense to me. First, can someone confirm that the dimension referred to in the...

The application here is maxwell's equations. However, my use of point particles precludes the Biot-Savart Law (as the current density is constantly changing)

Given the curl and divergence of a vector field, how would one solve for that vector field? In the particular case I would like to solve, divergence is zero at all coordinates.

How did you get the symbols to work?

I'm looking into vector calculus right now, and I have a few questions. * is the dot operator What is the difference between \nabla * F and F * \nabla ? What is \nabla ^2 F, where F is a vector field?

I'm not sure what I was thinking there, haven't been getting a lot of sleep lately.

Reflecting telescopes (as opposed to reflecting) have no chromatic aberration. I find it surprising that there are no reflecting cameras

I think I know how I can do this. Is it possible for a vector field to be perpendicular to its divergence at a point?