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Answer the following four sub-questions. Each sub-question is independent and has no no link with the...

Answer the following four sub-questions. Each sub-question is independent and has no no link with the other sub questions. a) Two neutral spheres are spaced 3 m apart. Calculate how many electrons must be transferred from one sphere to another so that they each experience a force of 14 N, and say whether the forces will be attractive or repulsive. b) Calculate the uniform electric field to be applied parallel to a moving proton at 2⋅106 m / s in order to immobilize it in 20 µs, and say if this field must be oriented in the direction of speed or in opposite direction. c) A long insulating cylinder has a charge density of -1 µC / m3 . The material component the cylinder suddenly becomes conductive; we see that the density load area is then -1 µC / m2 . Calculate the radius of the cylinder. d) Calculate the magnitude of the electric field at position r = 10 cm in question 4. Your gait must show, among other things, that the load (or surface density) of the shell thin has no effect on your response.

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