PART A: Determine the current due to the circulation of the u quark. (Note: Expr

Question

PART A: Determine the current due to the circulation of the u quark. (Note: Express your answer in terms of the variable v,r, and appropriate constants). PART B: Determine the magnitude of the magnetic moment due to the circulating u quark. (Note: Express your answer in terms of the variables v,r, and appropriate constants). PART C: Determine the magnitude of the magnetic moment of the three-quark system. (Be careful to use the correct magnetic moment directions) (Note: Express your answer in terms of the variables v,r, and appropriate constants). PART D: With what speed v must the quarks move if the model is to reproduce the magnetic moment of the neutron? Use r= 1.20 x 10^(-15) m (the raidus of the neutron) for the radius of the orbits.

Explanation / Answer

A. Iu= dq/dt = q/(distance/time) =(2e/3) /(2*pi*r/v)= 2e*v/6*pi*r

B. Magnetic moment =current*area= (2e*v/6*pi*r) * (pi*r^2)

C. Total magnetic moment= magnetic moment dure to u quark+2* magnetic moment due to d quark =2 * ((2e*v/6*pi*r) * (pi*r^2))

D. Substitute above expression = 9.66*10^-27 (Magnetic moment of a neutron) which gives v=7.55*10^7 m/s

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