A Geiger tube, used to detect radioactive decays, contains a long thin metal wir

Question

A Geiger tube, used to detect radioactive decays, contains a long thin metal wire, surrounded by a concentric long narrow metal tube. Insulating spokes hold the wire in the center of the tube and prevent electrical contact between the wire and the tube. A variable power supply is connected to the device as shown. Normally no current flows, because the tube and wire are not connected to each other. The power supply maintains opposite charges on the wire and the tube.

A Geiger tube, used to detect radioactive decays, contains a long thin metal wire, surrounded by a concentric long narrow metal tube. Insulating spokes hold the wire in the center of the tube and prevent electrical contact between the wire and the tube. A variable power supply is connected to the device as shown. Normally no current flows, because the tube and wire are not connected to each other. The power supply maintains opposite charges on the wire and the tube.

Explanation / Answer

Q =ELr/2K

Q=(3*10^6)*0.85*0.5*10^-3/2(9*10^9)

Q=7.08*10^-8 C

b)

dVmax =(2QK/L)ln(R/r)

dVmax =(2*7.08*10^-8*9*10^9/0.85)ln(40/0.5)

dVmax =6572.73 V

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