# There are two solutions in one image-charge problem?

• garylau
In summary, the conversation involves two different solutions to a question, one written by Griffiths and the other by a lecturer. However, the two solutions are not consistent with each other in the same question. The question is which solution is correct and the person asking for clarification thanks the expert for their help. The conversation also mentions a previous section where Griffiths offers an alternative method to calculate work and simplification by setting a=b. The expert notes that the conversation may be more appropriate for a homework forum, but can stay in the current forum for now.
garylau
Sorry
there are two different solutions in one question
! which one is correct??
the first one is written by griffiths

the second one is written by a lecturer.

they are not consistent in the same question
So which one is correct?
thank you

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Well, in the preceding section Griffiths gives an alternative way to calculate the work !
It's not too complicated to integrate the force you calculated over the path bx = ay from ##\infty## to ##(a,b)## .
(And you can simplify by setting ##a=b## -- all you're after is factor of 2).

This thread should be in the homework forum.

garylau
BvU said:
This thread should be in the homework forum.
It looks more like a studying question so far, so we can leave it here for now.

## 1. What is an image-charge problem?

An image-charge problem is a type of electrostatics problem where a point charge is placed near a conducting surface. The charge induces an opposite charge on the surface, creating an image charge that satisfies the boundary conditions of the problem.

## 2. How do you solve an image-charge problem?

To solve an image-charge problem, you need to follow these steps:

1. Identify the problem as an image-charge problem.
2. Determine the location of the image charge by reflecting the original charge across the conducting surface.
3. Calculate the magnitude of the image charge using Coulomb's law.
4. Calculate the electric potential at any point using the superposition principle.

## 3. What are the two solutions in an image-charge problem?

The two solutions in an image-charge problem are the real charge and the image charge. The real charge is the original point charge, while the image charge is the induced charge on the conducting surface.

## 4. What are the applications of image-charge problems?

Image-charge problems have various applications in electrostatics, such as in the study of capacitance, electric fields, and potential energy. They are also used in practical applications, such as in the design of electronic circuits and electromagnetic shielding.

## 5. What are the limitations of using image-charge problems?

Image-charge problems have some limitations, including:

• They only work for simple geometries and idealized situations.
• They assume perfect conductivity of the surface, which may not always be the case.
• They do not take into account the effects of other charges or external fields.

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