14. (a) Viewers of Star Trek hear of an antimatter drive on the Starship Enterpr

Question

14. (a) 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 is needed to hold antiprotons, moving at 5.00x 107 m/s in a is needed to hold antiprotons, moving at 5.00x 10 m/s in a circular path 2.00 m in radius? Antiprotons have the same mass as protons but the opposite (negative) charge. (b) Is this field strength obtainable with today's technology or is it a futuristic possibility?

Explanation / Answer

Here ,

let the magnetic field is B

speed , v = 5 *10^7 m/s

radius ,r = 2 m

a)as radius = m * v/(B*q)

2 = 1.67 *10^-27 * 5 *10^7/(B * 1.602 *10^-19)

solving for B

B = 0.261 T

the field strength is 0.261 T

b)

Yes , this field strength is obtainable

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