Method of Image charge problem

Thread starter BREAD
Start date Apr 12, 2017
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Charge Image Method

In summary, the Method of Image charge problem is a mathematical technique used in electrostatics to solve problems involving conductors and dielectrics. It involves creating a mirror image of a given charge distribution and using the properties of symmetry to simplify the problem. To use this method, one must first identify the problem as solvable, determine the location and strength of the image charge, and then use the superposition principle to solve it. The advantages of using this method include simpler and faster solutions and a physical interpretation of the problem. However, it is limited to certain types of problems and assumes perfect conductors and no other charges in the system. The Method of Image charge problem has also been extended to other areas of physics, such as fluid dynamics

Apr 12, 2017

BREAD

Homework Statement

What collection of image charges solves the problem in above pictured ??

Homework Equations

The Attempt at a Solution

One of the image charge should be in dielectric region
q'=-((e2-e1)/(e2+e1))

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Apr 12, 2017

Dr Transport

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What book has this problem, it is a good one...this one will take some time to figure out.

Apr 13, 2017

Dr Transport

Science Advisor

Insights Author

Gold Member

I see 7 image charges in this one and they are not trivial to calculate...

What is the Method of Image charge problem?

The Method of Image charge problem is a mathematical technique used in electrostatics to solve problems involving conductors and dielectrics. It involves creating a mirror image of a given charge distribution in a conductor or dielectric, and using the properties of symmetry to simplify the problem.

How do you use the Method of Image charge problem?

To use the Method of Image charge problem, you first need to identify the problem as being solvable using this method. Then, you need to determine the location and strength of the image charge by considering the boundary conditions and symmetries of the problem. Finally, you can solve the problem using the superposition principle.

What are the advantages of using the Method of Image charge problem?

The Method of Image charge problem allows for simpler and faster solutions to certain electrostatic problems. It also provides a physical interpretation of the problem, as the image charge represents the induced charges on the conductor or dielectric surface.

What are the limitations of the Method of Image charge problem?

The Method of Image charge problem can only be used for certain types of problems, such as those involving conductors and dielectrics. It also assumes that the conductors are perfect and that there are no other charges present in the system.

Can the Method of Image charge problem be extended to other areas of physics?

Yes, the Method of Image charge problem has been extended to other areas of physics, such as fluid dynamics and quantum mechanics. In these applications, the image charges represent the effects of boundaries or constraints on the system being studied.