Motion of a Charged Particle in Magnetic Field

AI Thread Summary
The discussion revolves around calculating the strength of a magnetic field required to hold antiprotons in a circular path. The relevant equations include F = ma and F = qvB, with values provided for velocity, mass, charge, and radius. The initial calculation yielded a negative magnetic field strength of -0.26T, which was corrected to the positive value of 0.26T, emphasizing the importance of considering magnitude. The conclusion clarifies that taking the absolute value is necessary for determining the strength of the magnetic field. Understanding this concept is crucial for applications involving charged particles in magnetic fields.
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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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