A Geiger tube consists of a wire of radius 0.2 mm and length16 cm and a coaxial

Question

A Geiger tube consists of a wire of radius 0.2 mm and length16 cm and a coaxial cylindrical shellconductor of the same length and a radius of 1.7 cm. (a) Find the capacitance, assuming that the gasin the tube has a dielectric constant of 1.
1 pF

(b) Find the charge per unit length on the wire when the potentialdifference between the wire and shell is 1.2 kV.
2 nC/m (a) Find the capacitance, assuming that the gasin the tube has a dielectric constant of 1.
1 pF

(b) Find the charge per unit length on the wire when the potentialdifference between the wire and shell is 1.2 kV.
2 nC/m

Explanation / Answer

L = 13 cm, a = 0.2 mm, b = 1.4 cm a) the capacitance C = L/[2k*ln(b/a)] = 1.7pF b) total charge Q = C*V =1.7*10-12*1.2*103 = 2.04 nC the charge per unit length = Q/L = 15.7nC/m

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