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Show that the path of motion is a cycloid.

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Reference no: EM13961913

An electron moves in a force field due to a uniform electric field E and a uniform magnetic field B that is at right angles to E. Let E = jE and B = kB. Take the initial position of the electron at the origin with initial velocity vo = ivo in the x direction. Find the resulting motion of the particle. Show that the path of motion is a cycloid.

x = a sin wt + bt
y = a (1 - cos wt)
z = 0

Reference no: EM13961913

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