Question: Show or derive the velocity equation (last equation) by using the XI and I equations listed below. (numerical value not needed) A small charged
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Show or derive the velocity equation (last equation) by using the XI and I equations listed below. (numerical value not needed) A small charged particle with mass of 1.67x10^-27 kg is moving in a circular orbit of radius r = 22.0 cm in a uniform magnetic field 8.9x10^-3 T perpendicular to the velocity of the particle. The system is supplied with a current I, and frequency of 60 Hz, has N=80 windings giving it L = 0.80 mH inductance per winding. The charge on the particle is 1.602x10^-19 C. Suppose that XL for series of inductances can be expressed by: XL X = 2 f ( 1 [(n + 1) (n+1)]) where n is the number of turns, and the current I can be expressed by: - 1- Br q 4 mx f / 1 [(n + 1) (n+1)] from given equations. I derive (show) the velocity equation: = Bqr m X X X Xx X X X X X X X PDR X XXX X (1) (2) (3)
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