Electrostatics Method of image

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SUMMARY

The discussion focuses on solving a problem involving two semi-infinite grounded conducting planes forming a 60-degree angle, with a charge Q located at point (m,n). Participants emphasize the need to visualize the configuration using image charges, including reflections across the x and y axes, as well as diagonal charges. The challenge lies in accurately determining the angles associated with these image charges to ensure zero potential along the mirrors. A suggestion is made to conceptualize the problem as an object reflected in two plane mirrors at 60 degrees to facilitate the assignment of charges.

PREREQUISITES
  • Understanding of electrostatics and image charge method
  • Familiarity with the concept of grounded conducting planes
  • Knowledge of geometric reflections in physics
  • Basic skills in trigonometry, particularly with angles
NEXT STEPS
  • Study the image charge method in electrostatics
  • Learn about grounded conductors and their properties
  • Explore geometric optics, specifically reflections in angled mirrors
  • Investigate the mathematical formulation of electric potential in multiple charge systems
USEFUL FOR

Students and educators in physics, particularly those studying electrostatics, as well as anyone involved in solving complex charge distribution problems in electrostatic fields.

Daniel4592
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Homework Statement


two semi infinite grounded conducting planes make a 60 degree angle. One plane along the positive x-axis. There is a charge Q at point (m,n) located closer to the plate running along the x-axis than the other. what would a diagram look like with all image charges and angles labeled along with the charges magnitude.

Homework Equations


don't believe you'll need any I have theta1 + theta2 = 60 degrees

The Attempt at a Solution


I have the charges. I can't figure out there angles though. there would be a reflection charge across y and x and 2 diagonal charges. Not sure on the angle though
 
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Daniel4592 said:
I have the charges. I can't figure out there angles though. there would be a reflection charge across y and x and 2 diagonal charges. Not sure on the angle though
That's too vague for me to know what you have so far.
Try this: where would all the images be if instead this were an object reflected in two plane mirrors at sixty degrees? Can you assign charges at those points to produce zero potential at all points on the mirrors?
 

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