A long solenoid has 1200 turns, a length of 20cm, and a radius of 10cm, and produces a magnetic field when current is run through it. If a proton is fired into the solenoid at a velocity of 50 nm/s in such a way that its velocity is perpendicular to the magnetic field produced by the solenoid, what current needs to be run through the solenoid so that the proton begins orbiting around the center of the solenoid at a radius equal to the radius of the solenoid itself?
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