Question

Please help, I am struggling!

A Cycloidal Path A particle with mass m and positive charge q starts from rest at the origin as shown in the figure below. There is a uniform electric field = Eo? and a uniform magnetic field B = BoZ The path of the charged sketched below is a cycloid whose radius of curvature at the top points is twice the y-coordinate at that level. This path is exactly the same as the path of a point on the rim of a wheel rotating with constant angular speed . Explain, in detail, why the path of the charge has this distinctive shape. Be sure to include terms such as "Electric Force" and "Magnetic Force". Hint: the path comes about because of the interaction of the magnetic and electric forces acting on the particle; given by the Lorentz Force Law: Fnet = qE + qv × B a) b) Since the magnetic field cannot do work on the charge, show, by energy conservation means, that the speed of the particle at any point in its path is given by: 2qEoy u= Hint: Recall that the work done by a constant force on an object is given by: WF.d and that the work-energy theorem states: Wab AK

Answer 1

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