How Is Potential Calculated in a Non-Central Charge Within a Grounded Cube?

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SUMMARY

The potential inside a grounded cube with a non-central charge is zero. To solve this problem, the Method of Images is the recommended approach, which involves setting up a system of charges that ensures the potential remains zero throughout the cube. Alternative methods such as Green's Function or Poisson's Equation are not applicable in this scenario, as the problem specifically pertains to the conditions set by Laplace's Equation.

PREREQUISITES
  • Understanding of electrostatics and electric potential
  • Familiarity with the Method of Images in electrostatics
  • Knowledge of Laplace's Equation and its applications
  • Basic concepts of grounded conductors
NEXT STEPS
  • Study the Method of Images in detail for electrostatic problems
  • Review the principles of Laplace's Equation and its boundary conditions
  • Explore the application of Green's Functions in electrostatics
  • Investigate the behavior of grounded conductors in electric fields
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Students and educators in physics, particularly those focusing on electrostatics and potential theory, as well as anyone tackling problems involving grounded conductors and non-central charges.

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Homework Statement


There's a charge, not at the center of a grounded cube. Find the potential in the cube.


Homework Equations





The Attempt at a Solution



I'm really just looking for a place to start. I should end up with some kind of series, but I don't know if I should be doing some Method of Images, or Greens Function, or Poisson Equation. The only information I can find is for Laplace's Eqn which doesn't apply here, so I'm kinda stuck.

Just trying to get a head start on some homework, so can someone just point me in the right direction?

Thanks,
-CP51
 
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The potential of the cube is zero. So try the method of images to set up a system of charges due to which the potential of the cube is zero.See if that works
 

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