What is the frequency of the particle\'s circular motion in terms of , , and ? (

Question

What is the frequency of the particle's circular motion in terms of , , and ? (This frequency is called the cyclotron frequency.) You result should verify that the time for one orbit for any charged particle in a uniform magnetic field is independent of its speed and radius.
Express your answer in terms of the variables q ,B , and m .
=



Compute the path radius if the particle is an electron with a speed of 2.0×105 traveling in a region where the field strength is 0.10 .
Express your answer using two significant figures.
=



Part C
What is the cyclotron frequency?
Express your answer using two significant figures.
=

Explanation / Answer

Frequency is given by

f=(qB)/(2m)

Radius is being given by r= (mv)/(qB)

= 11.375m (if B=0.1T)

= 11.375mm (if B=0.1mT)

frequency = 2.798 GHz (if B= 0.1T)

= 2.798 MHz if (B=0.1mT)

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