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In: Physics

An electron is initially is at rest in a uniform electric field E in the negative...

An electron is initially is at rest in a uniform electric field E in the negative y direction and a uniform magnetic field B in the negative z direction. Solve the equations of motion given by the Lorentz Force and show the trajectory of the electron is found as:

x(t)= (cE / wB) * (wt - sintwt)

y(T)=(cE / wB) * (1 - coswt)

where w=(eB/mc)

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