A Geiger tube consists of a wire of radius 0.2 mm and length 12 cm and a

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A Geiger tube consists of a wire of radius 0.2 mm and length 12 cm and a coaxial cylindrical shell conductor of the same length and a radius of 1.5 cm.

(a) Find the capacitance, assuming that the gas in the tube has a dielectric constant of 1.

(b) Find the charge per unit length on the wire when the potential difference between the wire and shell is 1.2 kV.

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