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Potential Between Grounded Plates

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The following is a problem I have been having a difficult time with. Please see attached file for a diagram to help with the problems.

A charge q is placed between two grounded infinite parallel conducting planes which are a distance "d" apart (see figure attached). Let ε_r = 1.

a) For |a_1| ≠ |a_2| find the electric potential "V" between the plates. Give V in terms of q, a_1, a_2, d, and r. Use boundary conditions to check your answer.

b) For |a_1| = |a_2| find the potential "V" in terms of q, d, and r.

Please provide a reference if possible.

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Solution Summary

This solution determines the potential between parallel grounded plates when a charge is placed between the two with step-by-step calculations and workings. A website reference is given along with the answers.

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Problem: A charge q is placed between two grounded infinite parallel conducting planes which are a distance "d" apart (see figure attached). Let ε_r = 1.

Reference: http://en.wikipedia.org/wiki/Method_of_image_charges

a. For |a_1| ≠ |a_2| find the ...

Solution provided by:
Amrit Lal Ahuja, PhD (IP)
Education
  • BEng, Allahabad University, India
  • MSc , Pune University, India
  • PhD (IP), Pune University, India
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