How Does an Electron Move in a Magnetic Field?

In summary, an electron in magnetic field refers to the behavior of an electron when it is placed in a magnetic field, experiencing a force that causes it to move in a circular or helical path. The strength of this force depends on the strength of the magnetic field and the velocity of the electron. The equation for this force is F = qvBsinθ, where q is the charge of the electron, v is its velocity, B is the strength of the magnetic field, and θ is the angle between the velocity and the field. The direction of the magnetic field determines the direction of the force on the electron, resulting in either a circular or straight path. This phenomenon is significant as it demonstrates the relationship between magnetic fields and charged
  • #1
DramaFoYoMama
2
0
I can't seem to figure this one out as my Physics book is outdated. An electron enters a magnetic field of .54T w/ vel. perp. to the direction of the field. At what frequency does the electron traverse a circular path? A little guidance in the right direction would be appreciated.
 
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  • #2
Nevermind. I just figured it out. :)
 
  • #3


To answer this question, we can use the equation for the frequency of a charged particle moving in a magnetic field:

f = qB/2πm

Where f is the frequency, q is the charge of the particle (in this case, the charge of an electron is -1.6 x 10^-19 Coulombs), B is the magnetic field strength (0.54T), and m is the mass of the particle (in this case, the mass of an electron is 9.11 x 10^-31 kg).

Plugging in these values, we get:

f = (-1.6 x 10^-19 C)(0.54T)/2π(9.11 x 10^-31 kg)

= 1.19 x 10^10 Hz

Therefore, the electron will traverse a circular path at a frequency of approximately 11.9 GHz (gigahertz).

I would recommend checking with your teacher or a more updated physics book for confirmation and further explanation. Additionally, you can also try looking up examples or practice problems online to further understand this concept.
 

1. What is an electron in magnetic field?

An electron in magnetic field refers to the behavior of an electron when it is placed in a magnetic field. The electron will experience a force due to its charge and the magnetic field, causing it to move in a circular or helical path.

2. How does a magnetic field affect an electron's motion?

A magnetic field will exert a force on an electron, causing it to move in a circular or helical path. The strength of the force depends on the strength of the magnetic field and the velocity of the electron.

3. What is the equation for the force on an electron in a magnetic field?

The equation for the force on an electron in a magnetic field is F = qvBsinθ, where F is the force, q is the charge of the electron, v is the velocity of the electron, B is the strength of the magnetic field, and θ is the angle between the velocity of the electron and the magnetic field.

4. How does the direction of the magnetic field affect the motion of an electron?

The direction of the magnetic field determines the direction of the force on the electron. If the magnetic field is perpendicular to the electron's velocity, the resulting force will be perpendicular to both and will cause the electron to move in a circular path. If the magnetic field is parallel to the electron's velocity, there will be no force on the electron and it will continue to move in a straight line.

5. What is the significance of an electron in magnetic field?

An electron in magnetic field is significant because it demonstrates the relationship between magnetic fields and charged particles. This phenomenon is used in many technologies, such as MRI machines, particle accelerators, and electric motors.

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