Electrostutic precipitators use electric forces to remove pollutant particles from smoke, in particular in the smokestacks of coal$-$burning power plants. One form of precipitator consists of a vertical, hollow, metal cylinder whth a thin wime inculatarl from the culinder, running along its axis. A large potential cifference is established between the wire and the outer cylinder, with the wire at lower potential. This sets up a strong radial electric field directed inward. The field produces a region of ionized air near the wire. Smoke enters the precipitator at the bottom, ash and dust in it pick up electrons, and the charged pol utants are accelerated toward the outer cylinder wall by the electric field Suppose the radius of the central wire is $95\mathrm{.}0m,$ the racius of the cylinder is $14\mathrm{.}0$ cm $,$ and a potential difference of $50\mathrm{.}0$ kV is established between the wire and the cylinder. Also assume that the wire und cylinder are both very long in comparison to the cylinder radius.

Part A

What is the magnitude of the electric field midway between the wire and the cylinder wall? Express your answer in volts per meter.

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Part B

What magnitude of charge must a $33\mathrm{.}0g$ ash particle have if the electric field computed in part A is to exert a force ten times the weight of the particle?

Express your answer in coulombs.

Part F

Which dielectric allows the maximum stored energy?

Part G

Calculate the charge stored on each plate of the capacitor for polycarbonate. Express your answer with the appropriate units.

Part H

Calculate the charge stored on each plate of the capacitor for polyester. Express your answer with the appropriate units.

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Calculate the energy stored in the capacitor for polypropylene.

Express your answer with the appropriate units.

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Part D

Calculate the energy stored in the capacitor for polystyrene. Express your answer with the appropriate units.

Part E

Calculate the energy stored in the capacitor for pyrex. Express your answer with the appropriate units.

Part F

Which dielectric allows the maximum stored energy?