How Does an Electron Move in a Magnetic Field?

[DramaFoYoMama]

I can't seem to figure this one out as my Physics book is outdated.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.

 

[DramaFoYoMama]

Nevermind. I just figured it out. :)

 

[thepatientmental]

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.