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An infinite insulating hollow cylinder of radius ri and uniform charge per unit length, λ is oriented so that its long central axis is along the z-axis. A fixed point charge,-Q, is located at the position (x, y, z) = (2n, 0,0). Answer the following in terms of the constants given: (a) what is the magnitude of the total electric field at the location (x, y, z) = (3r1, 0,0)? (b) Assuming that the reference potential is set to be Vref0 on the surface of the cylinder, what electric potential does the -Q charge experience? c) How much work must be done by the electric field to bring the point charge from its location at 2rı to the surface of the insulating cylinder at

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