A Geiger-Mueller tube is a radiation detector that consists of a closed, hollow, metal cylinder (the cathode) of inner radius r, and a coaxial cylindrical wire (the anode) of radius r (see figure below) with a gas filling the space between the electrodes. Assume that the internal diamete of a Geiger-Mueller tube is 3.40 cm and that the wire along the axis has a diameter of 0.205 mm. The dielectric strength of the gas between the central wire and the cylinder is 1.30 x 10 V/m. Use the equation 2nreE-in to calculate the maximum potential difference that can be applied between the wire and the cylinder before breakdown occurs in the gas. 50 Cathode Anode Ⓡ

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A Geiger-Mueller tube is a radiation detector that consists of a closed, hollow, metal cylinder (the cathode) of inner radius ra and a coaxial cylindrical wire (the anode) of radius rb (see figure below) with a gas filling the space between the electrodes. Assume that the internal diameter of a Geiger-Mueller tube is 3.40 cm and that the wire along the axis has a diameter of 0.205 mm. The dielectric strength of the gas between the central wire and the cylinder is 1.30 106 V/m. Use the equation

2?rℓE = 
qin
?0

to calculate the maximum potential difference that can be applied between the wire and the cylinder before breakdown occurs in the gas.

A Geiger-Mueller tube is a radiation detector that consists of a closed, hollow, metal cylinder (the cathode) of inner radius r and a coaxial cylindrical wire (the anode) of radius (see figure below) with a gas filling the space between the electrodes. Assume that the internal diamete
of a Geiger-Mueller tube is 3.40 cm and that the wire along the axis has a diameter of 0.205 mm. The dielectric strength of the gas between the central wire and the cylinder is 1.30 x 106 V/m. Use the equation 27rE = in to calculate the maximum potential difference that can be
applied between the wire and the cylinder before breakdown occurs in the gas.
€0
Cathode
Anode
Ⓡ
Transcribed Image Text:A Geiger-Mueller tube is a radiation detector that consists of a closed, hollow, metal cylinder (the cathode) of inner radius r and a coaxial cylindrical wire (the anode) of radius (see figure below) with a gas filling the space between the electrodes. Assume that the internal diamete of a Geiger-Mueller tube is 3.40 cm and that the wire along the axis has a diameter of 0.205 mm. The dielectric strength of the gas between the central wire and the cylinder is 1.30 x 106 V/m. Use the equation 27rE = in to calculate the maximum potential difference that can be applied between the wire and the cylinder before breakdown occurs in the gas. €0 Cathode Anode Ⓡ
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