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Solve the all parts of question:

Question: A Geiger-Muller tube is part of a Geiger Counter, a device used to detect ionizing particles (radioactive products). It is a cylindrical capacitor with the outer metal cylinder at zero potential and the central wire at about 500 V.

Part A: Calculate the capacitance if its length is 15 cm, the outer radius is 2 cm, and central wire radius is 0.2 mm. When an ionizing particle enters the device, it creates free electrons, and ions, the gas breaks down, and the capacitor discharges.

Part B: How much energy is needed to recharge the Geiger-Muller tube?

Part C: Find the magnitude of the electric field at the surface of the wire.

Part D: Geiger-tubes are filled with an inert gas, such as argon. The dielectric strength of argon is 20% that of air, or about 1.2 MV/m. Will the electric field found in part (c) cause a continuous breakdown?

I need help to find the magnitude of the electric field at the surface of the wire.

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