Calculating Electric Fields in a Gieger Counter

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SUMMARY

The discussion focuses on calculating electric fields in a Geiger counter setup, specifically at the surface of a wire and the inner surface of a metal cylinder. The wire, under a tension of 44 N, is positioned within a cylinder with an inner diameter of 2 cm and a potential difference of 890 volts. The relevant equations include the electric field formula E = λ/(2πε₀r) and the integral of the electric field from the wire's radius to the cylinder's inner surface.

PREREQUISITES
  • Understanding of electric fields and potential difference
  • Familiarity with the concepts of tension and its effects on wire properties
  • Knowledge of the geometry of cylindrical conductors
  • Basic calculus for evaluating integrals in electric field calculations
NEXT STEPS
  • Study the derivation of the electric field around cylindrical conductors
  • Learn about the application of Gauss's Law in electrostatics
  • Explore the relationship between tension in wires and electric field strength
  • Investigate the effects of potential difference on electric field distribution
USEFUL FOR

Physics students, electrical engineers, and researchers interested in the principles of electrostatics and their applications in radiation detection technologies like Geiger counters.

choole
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A particular Gieger counter has a metal cylinder with an inner diameter of 2 cm along whose axis is stretched a wire with 44 N of tension. The potential difference between the wire and the cylinder is 890 volts. The wire has a length of 6 cm and an outer diameter of 1.5 X 10-4 cm.
A. To find the electric field at the surface of wire?
B To find the electric field at the inner surface of the cylinder

Vf - Vi = int(E dot ds) from radius of wire to cylinder.
and E = lemda/2piE0r

i tried solving like this but i didn't get the answer. Please help
 
Last edited:
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It is not clear to me what your goal is? What are you looking for?
 
Integral said:
It is not clear to me what your goal is? What are you looking for?
To find the electric field at the surface of the wire?
 

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