A powerful particle accelerator has a radius of 0 75 km. It accelerates particle

Question

A powerful particle accelerator has a radius of 0 75 km. It accelerates particles such as protons, whose charge is "e" which is 1.6 times 10^-19 C and mass l.7 times 10^-27 kg at speeds of 2.5 times 10^8m/sec. How great a magnetic field is required to produce this circular orbit? A generators produces a constant voltage of 240 V to an Inductive circuit. The inductance has a value of 25 mH I and is connected in series with a fuse of negligible resistance. The fuse will blow when the current in the circuit reaches 15 A. At what frequency would this occur ?

Explanation / Answer

6.

Using the force balance

Fc = Fm

m*v^2/r = q*v*B

B = m*v/(q*r)

r = 0.75*10^3 m

B = 1.7*10^-27*2.5*10^8/(1.6*10^-19*0.75*10^3)

B = 3.54*10^-3 T = 3.54 mT

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