Course Solutions Uncategorized (Solved) : 4 30 Pts Particle Charge Q Rest Mass M Rest Frame B B B 2 B1 Bz Constant Electric Field E Q32941407 . . . .

(Solved) : 4 30 Pts Particle Charge Q Rest Mass M Rest Frame B B B 2 B1 Bz Constant Electric Field E Q32941407 . . . .

 

(4) (a) (30 pts) A particle with charge q and rest mass m is at rest in a frame where B B,i+B,2, where B1 and Bz are constant and the electric field E- 0. A rocket moves along relative to this frame with constant velocity vvyy + vz. Find the total Lorentz force acting on the charge as seen from the rockets frame. The relativistic Lorentz force is given by Sic P can be written as the equation of motion, E) becomes dr For 1, 2,3 corresponding to spatial components, this reduces to the usual non-relativistic Lorentz Force law for low velocities, i.e ( 1 (b) Recall that the proper time, dr is defined through so that dt 6 and β = . What is the equation when μ = 0, in Equation( 1)? what does it describe(4)

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