Magnetic field changing speed of particle?

In summary, a magnetic field is a force field created by moving electric charges and can affect particles by exerting a force on them. The strength of the magnetic field and the speed of the particle are directly related, and a changing magnetic field can also affect particle speed. The factors that can influence the speed of a particle in a magnetic field include the strength of the field, the charge and mass of the particle, and the angle of entry.
  • #1
sparkle123
175
0
From my textbook:
b6ce2abe.png

The example seems to contradict what is said above. The electron is accelerated in the negative z direction, so the velocity now has both an x-component and a z-component so the speed DOES change (magnitude larger)?
 
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  • #2
Since the acceleration/Force is always perpendicular to the direction of motion of the electron only the velocity is changed not the speed. The electron does not gain any KE since W=Fdcos(theta) and theta in this case is pi/2.
 
  • #3
got it thanks!
 

What is a magnetic field?

A magnetic field is a physical phenomenon created by moving electric charges. It is a force field that surrounds a magnet or an electric current and can exert a force on other magnets or charged particles.

How does a magnetic field affect particles?

A magnetic field can affect particles by exerting a force on them. Charged particles, such as electrons, will experience a force when moving through a magnetic field, causing them to change direction and follow a curved path.

What is the relationship between magnetic field and particle speed?

The strength of the magnetic field and the speed of the particle are directly related. As the magnetic field increases, the force on the particle also increases, causing it to accelerate and travel at a higher speed.

Can a changing magnetic field affect particle speed?

Yes, a changing magnetic field can affect particle speed. A changing magnetic field will induce an electric field, which can in turn exert a force on charged particles and change their speed and direction of motion.

What factors can influence the speed of a particle in a magnetic field?

The speed of a particle in a magnetic field can be influenced by the strength of the magnetic field, the charge and mass of the particle, and the angle at which the particle enters the magnetic field.

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