Physics Help Forum Calculating magnetic field to accelerate deutrons in a cyclotron.

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 Oct 30th 2014, 01:35 AM #1 Junior Member   Join Date: Oct 2014 Posts: 18 Calculating magnetic field to accelerate deutrons in a cyclotron. 1.*The problem*statement, all variables and given/known data A cyclotron has oscillator frequency of 12×10^6 cycles /sec and dee radius 21 inches .Calculate the magnetic induction B needed to accelerate deutrons .Given e=1.6 ×10^-19 coulomb and M (2 H 1)=3.3×10^-27 kg. 2. Relevant equations Frequency f= Bq/2πΜ 3. The attempt at a solution Β=(2π×3.3 ×10^ -27 ×12 ×10^6)/1.6×10^ -19 = 1.55Wb/m2 .Have i done this right? Why did they give me the dee radius if didn't need it?
Oct 30th 2014, 07:06 PM   #2

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 Originally Posted by pranimaboity2050 1.*The problem*statement, all variables and given/known data A cyclotron has oscillator frequency of 12×10^6 cycles /sec and dee radius 21 inches .Calculate the magnetic induction B needed to accelerate deutrons .Given e=1.6 ×10^-19 coulomb and M (2 H 1)=3.3×10^-27 kg. 2. Relevant equations Frequency f= Bq/2πΜ 3. The attempt at a solution Β=(2π×3.3 ×10^ -27 ×12 ×10^6)/1.6×10^ -19 = 1.55Wb/m2 .Have i done this right? Why did they give me the dee radius if didn't need it?
(shrugs) The problem writers do that just to screw you up a bit. I can't think of a reason you would need to use this data to solve the given problem.

-Dan
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 Oct 30th 2014, 09:02 PM #3 Junior Member   Join Date: Oct 2014 Posts: 18 Thank you.But is my method of calculating B correct??This is a past year university question.I don't have the answer to it.I will be grateful to you if you could verify my calculation.
Oct 30th 2014, 09:55 PM   #4

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 Originally Posted by pranimaboity2050 Thank you.But is my method of calculating B correct??This is a past year university question.I don't have the answer to it.I will be grateful to you if you could verify my calculation.
Your equation is correct and the numbers come out like you say.

-Dan
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 Tags accelerate, calculating, cyclotron, deutrons, field, magnetic