Does a moving charge posess a generated magnetic field?

[zapnthund50]

Hi all,

This question has been bothering me for some time, so here it is.
I know that moving a charged particle, like an electron, generates a magnetic field. I know that moving electric charges in a circle (a loop of wire) generates a magnetic field. The question is, will a charge moving in a straight line generate a field, and if so, what is the equation governing this? I am envisioning a single, free electron traveling at a high velocity for this question. I'm sure it must relate to magnetic moment somehow.

Thanks!

 

[Orodruin]

Any moving charge gives rise to a magnetic field in accordance with Maxwell's equation. For your particular case, you can also just compute the electric foeld in the rest frame and Lorentz transform the EM field tensor to the frame where the particle is moving. This will result in a non-zero magnetic field.

 

[zapnthund50]

Any moving charge gives rise to a magnetic field in accordance with Maxwell's equation. For your particular case, you can also just compute the electric foeld in the rest frame and Lorentz transform the EM field tensor to the frame where the particle is moving. This will result in a non-zero magnetic field.

Thanks! Based on your post, I did a little digging, and it looks like Maxwell's equations have been used to develop the Biot-Savart Law. There is a special case for a moving charge.