Viewers of Star Trek hear of an antimatter drive on the Starship Enterprise. One

Question

Viewers of Star Trek hear 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 with normal matter, producing pure energy. What strength magnetic field in T is needed to hold antiprotons, moving at 0.65 times 10^7 m/s, in a circular path 1.9 m in radius? Antiprotons detailed view have the same mass as protons but the opposite (negative) charge.

Explanation / Answer

q = magnitude of charge = 1.6 x 10-19 C

B = magnetic field

v = speed = 0.65 x 107 m/s

r = radius = 1.9 m

m = mass = 1.67 x 10-27 kg

using the formula

r = m v/(qB)

1.9 = (1.67 x 10-27) (0.65 x 107)/((1.6 x 10-19) B)

B = 0.036 T

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