A small charged particle with mass of 1.67x10^-27 kg is moving in a circular orbit of...

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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: X₂-281 (²2[(n + 1)²-(n+1)]) 29 XL where n is the number of turns, and the current I can be expressed by: - ¹B²r²q 4 mx/[(n+1)²-(n+1)] I derive (show) the velocity equation: - from given equations. V= 2.2 "qºrª 2 m² C Fax x x X 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: X₂-281 (²2[(n + 1)²-(n+1)]) 29 XL where n is the number of turns, and the current I can be expressed by: - ¹B²r²q 4 mx/[(n+1)²-(n+1)] I derive (show) the velocity equation: - from given equations. V= 2.2 "qºrª 2 m² C Fax x x X