Motion of a Charged Particle in Magnetic Field

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SUMMARY

The discussion focuses on calculating the strength of a magnetic field required to hold antiprotons in a circular path. Using the formula F = qvB and the derived equation B = (mv)/(rq), participants determined that a magnetic field strength of 0.26 Tesla is necessary for antiprotons moving at 5.0×10-7 m/s with a radius of 2.00 m. The negative charge of antiprotons was clarified as irrelevant for the magnitude of the magnetic field, emphasizing the importance of using absolute values in such calculations.

PREREQUISITES
  • Understanding of classical mechanics, specifically Newton's second law (F = ma).
  • Familiarity with electromagnetic theory, particularly the Lorentz force equation (F = qvB).
  • Knowledge of particle physics, including properties of antiprotons.
  • Basic algebra skills for manipulating equations and substituting values.
NEXT STEPS
  • Study the implications of the Lorentz force in different magnetic field configurations.
  • Explore advanced topics in particle physics, focusing on antimatter and its applications.
  • Learn about magnetic field strength calculations in various contexts, including cyclotrons.
  • Investigate the role of vacuum chambers in particle storage and manipulation.
USEFUL FOR

Physics students, researchers in particle physics, and engineers working on advanced propulsion systems will benefit from this discussion, particularly those interested in antimatter applications and magnetic field calculations.

Ignitia
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Homework Statement


Viewers of Star Trek have heard of an antimatter drive on the Starship Enterprise. One possibility for such a futuristic energy source is to store antimatter charged particles in a vacuum chamber, circulating in a magnetic field, and then extract them as needed. Antimatter annihilates normal matter, producing pure energy. What strength magnetic field is needed to hold antiprotons, moving at 5.0×107m/s in a circular path 2.00 m in radius? Antiprotons have the same mass as protons but the opposite (negative) charge.

Homework Equations


F = ma = m * (v2/r)
F = qvB

The Attempt at a Solution


Okay, this is pretty straightforward:

v = 5.0x10-7 m/s
m = 1.672x10-27 kg
q = -1.6x10-19C
r = 2m

F = qvB
F/(qv) = B
[(m*(v2) / r ] * 1/(qv) = B
(mv/rq) = B

Plugging in the values, answer becomes - 0.26T, but the correct answer is 0.26T. What am I missing?
 
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Strength of magnetic field is another name for magnitude which is a positive number.
 
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kuruman said:
Strength of magnetic field is another name for magnitude which is a positive number.

So I just take the absolute value? That makes sense, thanks.
 

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