(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Given the equation of motion for charged particle in a magnetic field, with mass m and charge q moves in the y-z plane under the influence of a uniform magnetic field [tex]\hat{B}=B_{0}\hat{x}[/tex] is given by:

[tex]m\frac{d\hat{v}}{dt}=q\hat{v}\times\hat{B}[/tex]

Find the solution to the equation of motion, the cyclotron motion.

(This isn't the full problem, I am stuck on this little part of it)

2. Relevant equations

3. The attempt at a solution

so what i have done is treat the vector cross product as a multiplication sign. I have separated the variables and integrated:

[tex]\int\frac{d\hat{v}}{\hat{v}}=\frac{qB_{0}}{m}dt[/tex]

Upon integration, you get an exponential velocity, which makes no sense at all? I am not sure how else you'd find the cyclotron velocity solution?

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# Homework Help: Cyclotron Motion

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