Geiger Counter and Potential Difference

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SUMMARY

The discussion focuses on calculating the potential difference required to generate an electric field of 2.00 x 104 V/m in a Geiger Counter setup with a central wire radius of 145 micrometers and a hollow cylinder radius of 1.80 cm. The relationship between voltage (V), electric field (E), and radius (r) for coaxial conductors is crucial for solving this problem. Participants emphasize the importance of using consistent units throughout the calculations to ensure accuracy.

PREREQUISITES
  • Understanding of electric fields in coaxial conductors
  • Familiarity with the formula relating electric field, potential difference, and distance
  • Knowledge of unit conversions, particularly between micrometers and centimeters
  • Basic principles of Geiger Counter operation
NEXT STEPS
  • Study the derivation of the electric field formula for coaxial conductors
  • Learn how to apply unit conversion techniques in physics problems
  • Explore the operational principles of Geiger Counters and their components
  • Investigate practical applications of electric fields in radiation detection
USEFUL FOR

Physics students, electrical engineers, and professionals working with radiation detection technologies will benefit from this discussion, particularly those interested in the design and functionality of Geiger Counters.

LostinPhysics
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In this problem I am getting stuck on how to find the potential difference. I don't know where to begin. In a Geiger Counter suppose the radius of the central wire is 145 micrometers and the radius of a hollow cylinder is 1.80 cm. What potential difference between the wire and the cylinder produces an electric field of 2.00*10^4 V/m at a distance of 1.20 cm from the axis of the wire?
 
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Think back to the physics problem of the electric field of concentric (coaxial) conductors.

What is the relationship between V, E and r for concentric conductors?

The radius of the outer conductor is 1.8 cm (18 mm), radius of central wire is 145 microns (0.145 mm), and one is asked for V at 1.2 cm. Make sure to use consistent units.
 

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