Is a 2 Tesla magnetic field strong enough for a 5cm cyclotron design?

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SUMMARY

The discussion centers on the feasibility of using a 2 Tesla magnetic field for a 5 cm cyclotron design to capture sodium ions. The calculated radius of the particle's circular path, using the formula R = mv/qB, is 0.0218 m with a velocity of 183,234 m/s and a required potential of 4000 V. The participants emphasize that 2 Tesla is a significant magnetic field strength, especially when compared to other known values, such as the Earth's magnetic field at 0.00005 Tesla. The conversation also touches on the practicality of achieving the necessary conditions for a small cyclotron setup.

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Mentz114
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I'm trying to work out what velocity and magnetic field strength one needs to capture the charged particle in a circle of comfortable lab size - say 5cm ( 0.05m).

For a sodium ion ( mass = 3.8175407 × 10-26 kg) with charge q = 1.60217653 x 10 -19 , velocity 183234 m/s, C in a magnetic field of 2 Tesla the radius of the circle ##R=mv/qB## is 0.0218m.

The velocity requires a 4000v potential and seems a bit big. Have I made an error ?

[I'm not actually building a cyclotron, just a magnetic deflector.]
 
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2 Tesla is a huge field. (And please, significant figures!)
 
Vanadium 50 said:
2 Tesla is a huge field. (And please, significant figures!)

My understanding of magnetic field strength comes from this
Code:
      Smallest value shielded        10^-14 Tesla      10^-10 Gauss
      Interstellar space                  10^-10 Tesla      10^-6 Gauss
      Earth's magnetic field           0.00005 Tesla      0.5 Gauss
      Small bar magnet                 0.01 Tesla      100 Gauss
      Within a sunspot                   0.15 Tesla      1500 Gauss
      Small NIB magnet                0.2 Tesla      2000 Gauss
      Big electromagnet                1.5 Tesla      15,000 Gauss
      Strong lab magnet                10 Tesla      100,000 Gauss
      Surface of neutron star        10^8 Tesla        10^12 Gauss
      Magstar                                10^10 Tesla      10^15 Gauss
and the strongest I saw in a (small) cyclotron was 9 T.

With U = 1000V, B = 0.2T one gets R = 0.109m

In the ball park ( absent errors ).

(sorry about the redundant digits )
 
Last edited:

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