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Ion Motion in Crossed Electric and Magnetic Fields

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An ion with a charge-to-mass ratio q/m enters a region containing a uniform electric field E = E₀ĵ and a uniform magnetic field B = B₀k̂. The ion’s initial velocity is v₀î. After traveling a horizontal distance L, its final velocity is v = v₀î + vfĵ. What is the value of the final vertical velocity component, vf?

A

vf = (qE₀L/mv₀) - (qB₀L/m)

B

vf = (qE₀L/mv₀) + (qB₀L/m)

C

vf = (qE₀L/mv₀)

D

vf = (qE₀ - qv₀B₀)L/mv₀

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