Induced superficial charge distribution of a sphere

[ReyChiquito]

Hello, I am new to this forums but i think you are doing a wonderfull job in helping us students trough our physics learning

Here is my q.

I have a conductor sphere moving at constant velocity trough a constant perpendicular magnetic field and i need to find the induced superficial charge distribution of the sphere under the Lorentz formalism..

i don't have any electromagnetic theory books at hand and i took the electromagnetic theory course a while back, so I am kind of clueless here...

any help will be apretiated... thx

 

[ReyChiquito]

lol... maybe i posted this one in the wrong board

here is what i did (if anyone is interested)

i used the relativistic form of the lorentz force and replaced the magnetic field for a "virtual" electric field acting on the sphere and simply resolved the potential equation.

i don't know if this was done right, all i have to do is wait till tomorrow.

thats of course if anyone cares :P

 

[M98Ranger]

Hello and welcome to the forum! I am glad to hear that you find this forum helpful in your physics learning.

To answer your question, the induced superficial charge distribution on a sphere moving through a magnetic field can be calculated using the Lorentz force law. This law states that the force on a charged particle moving through a magnetic field is given by F = qv x B, where q is the charge of the particle, v is its velocity, and B is the magnetic field.

In the case of a conductor sphere, the charge is free to move within the sphere. This means that as the sphere moves through the magnetic field, the charges within the sphere will experience a force and will redistribute themselves on the surface of the sphere.

To calculate the induced superficial charge distribution, you will need to consider the forces acting on each small element of charge on the surface of the sphere. This can be done by integrating the Lorentz force law over the surface of the sphere.

If you are familiar with vector calculus, you can use the concept of flux to calculate the total charge induced on the surface of the sphere. The flux of the magnetic field through the surface of the sphere is equal to the total charge induced on the surface.

I recommend consulting an electromagnetic theory textbook for a more detailed explanation and examples of how to solve problems like this. I hope this helps and good luck with your studies!