A Geiger tube is a wire radius of 0.2 mm and length 15 cm and a coaxial cylindrical conductor shell?
the same length and a radius of 1.7 cm. (A) Determine the capacity, assuming that the gas in the tube has a dielectric constant of 1. PF (b) Find the charge per unit length on the cable when the difference potential between the wire and the deposit is 1.2 kV. nC / m
The capacitance C = 2pi E / R [ln / r] = [2Pi x 8.85 x10 ^ -12 x 1] / [In 1.7/0.2] = 55.606 x10 ^ 12 / 2.14 = Plate 25.98pF The effective area A = Cd / E = [25.98 x 10 ^ -12 x 1.5 x 10 ^ -3] / 8.85 x 10 ^ -12 = 4.4 mm square electrostatic Density D = Q / A, but Q = CV, for D = CV / A = [25.98 x 10 ^ -12 x 1.2 x 10 ^ 3] / 4.4 x 10 ^ -3 = 7085 x 10 ^ – 6 C / m = 708.5 nC / m
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