Two solenoids are nested coaxially such that their magneticfields point in opposite directions. Treat the solenoids as ideal.The outer one has a radius of 20 mm, and the radius of the innersolenoid is 10 mm. The length, number of turns, and current of theouter solenoid are, respectively, 20.3 cm, 553 turns, and 4.17 A.For the inner solenoid the corresponding quantities are 19.3 cm,383 turns, and 1.35 A.
At what speed, v1, should a proton be traveling, inside theapparatus and perpendicular to the magnetic field, if it is toorbit the axis of the solenoids at a radius of 6.83 mm?
And at what speed, v2, for an orbital radius of 14.9 mm?