What Is the Electric Field Outside a Grounded Square Conductor?

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SUMMARY

The discussion focuses on determining the electric field outside a grounded square conductor, specifically a long metal pipe with a square cross-section grounded on three sides and maintained at a constant potential ##V_0## on the fourth side. The solution involves applying the Laplace equation under the specified boundary conditions. Participants suggest that understanding the capacitance effect is crucial for solving this problem intuitively. Visual aids, such as drawings, are recommended to enhance comprehension.

PREREQUISITES
  • Understanding of the Laplace equation in electrostatics
  • Familiarity with electric field concepts and boundary conditions
  • Knowledge of capacitance effects in conductors
  • Basic skills in visual representation of electric fields
NEXT STEPS
  • Study the application of the Laplace equation in electrostatics
  • Research the relationship between capacitance and electric fields in conductors
  • Learn about boundary value problems in electrostatics
  • Explore visual tools for representing electric fields and potentials
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This discussion is beneficial for physics students, electrical engineers, and anyone interested in electrostatics and the behavior of electric fields around conductors.

arpon
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Homework Statement


A long metal pipe of square cross-section is grounded on three sides, while the fourth (which is insulated from the rest) is maintained at constant potential ##V_0##. What is the electric field just outside the section opposite to ##V_0##?

Homework Equations

The Attempt at a Solution


This problem can possibly be solved by solving the Laplace equation under the given boundary condition. But is there any intuitive solution to this?
 
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You might want to post some type of drawing. However, I suspect you have a capacitance effect and that is probably your starting point.
 
CalcNerd said:
You might want to post some type of drawing. However, I suspect you have a capacitance effect and that is probably your starting point.
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