Magnetic field on charged cloud

In summary, a magnetic field with flux lines at right angles to an electron beam can curve the beam into a loop due to the force of ##F=evB##. This effect is the same for both a single electron and a cloud of stationary electrons, with the additional consideration of the electrons' effects on each other. However, a magnetic field has no effect on a stationary charged particle.
  • #1
d4rr3n
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An electron beam can be curved into a loop using a magnetic field with flux lines at right angles to the electron beam. These electrons have a high kinetic energy leaving the electron gun.

My question is how would a magnetic field effect motionless charged particles for example a cloud of negatively ionised gas, would it also form into a loop. I'm thinking of the auroral oval around the Earth's poles
 
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  • #2
The effect on the beam is the same as the effect on a single electron with velocity ##v## ... the magnitude force is ##F=evB## and it points at right angles to both ##\vec v## and ##\vec B## ... the effect on a cloud of stationary electrons is the same as the effect on a single stationary electron...

(... well, there is also the effect of the electrons on each other.)
 
  • #3
Simon Bridge said:
The effect on the beam is the same as the effect on a single electron with velocity ##v## ... the magnitude force is ##F=evB## and it points at right angles to both ##\vec v## and ##\vec B## ... the effect on a cloud of stationary electrons is the same as the effect on a single stationary electron...

(... well, there is also the effect of the electrons on each other.)
Thanks,

I have read elsewhere that a magnetic field has no effect on a stationary charged particle i.e. it does not cause a stationary charge to move or to aline to the magnetic field in any way.
 

Related to Magnetic field on charged cloud

What is a magnetic field?

A magnetic field is a region in space where a magnetic force can be detected. It is created by moving electric charges, such as the movement of electrons or ions.

How does a magnetic field affect a charged cloud?

A magnetic field can exert a force on a charged cloud, causing it to move in a circular or helical path. The direction and strength of the force depends on the charge and velocity of the cloud as well as the strength and direction of the magnetic field.

How is a magnetic field created around a charged cloud?

A magnetic field is created around a charged cloud when the cloud moves through a region with an existing magnetic field. This can also occur when the cloud itself has a net charge and creates its own magnetic field.

Can the strength of a magnetic field change around a charged cloud?

Yes, the strength of a magnetic field around a charged cloud can change if the charge or velocity of the cloud changes, or if the strength or direction of the external magnetic field changes. This can also occur if the charged cloud interacts with other charged particles or fields.

What are some real-world applications of studying magnetic fields on charged clouds?

Studying magnetic fields on charged clouds can help us understand the behavior of charged particles in space, such as the movement of ions in the Earth's magnetosphere or the formation of auroras. It can also have practical applications, such as in the design of magnetic confinement devices for fusion reactors or in the development of new technologies for particle acceleration and space propulsion.

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