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Questions tagged [method-of-images]

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Taking into consideration the non-0 value of an equipotential in a method of images problem

If the infinite conducting plane in the diagram above is grounded, then $V=0$ on the plane and the image problem is easy to solve - just put the dotted $-q$ charge there and the $V=0$ equipotential ...
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Tricky math step in Method of Images for conducting sphere

I am trying to understand this classic method of images problem. I have four textbooks open and they are all giving me the "it can easily be shown" for a critical math step in the solution. For a ...
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1answer
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Virtual and Real Images

I am well thorough with the concept of virtual and real images for a single lens/mirror. However I don’t understand how it exactly works for complex system of lens .eg-two or three lens with a ...
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1answer
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Applying method of images to magnetic dipoles

I want to apply the method of images to quasi-stationary calculate the 2D magnetic field distribution of a magnetic dipole and a half space with certain electrical properties (permeability, ...
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Method of Images conundrum

My lecturer and I have found separately valid solutions to Poisson's equation in the region of interest for the following problem: Here is my interpretation of the boundary conditions: $$V(x,y,z \to ...
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the method of images and bringing a charge to an infinite grounded plane

The classic image problem is that of a point charge $q$ held a distance $d$ above a grounded plane. The solution is this problem is to replace grounded plane by a charge $-q$ a distance $d$ below the ...
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1answer
36 views

Why are we allowed to put an image charge inside the sphere?

In a problem with a sphere and a charge $q$ at a distance $l$ away from it, the solution involves putting the image charge inside the sphere at $a = \frac{R^2}{l}$. But doesn't that contradict the ...
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0answers
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Green's function in a region between a conductor sphere and two charged spheres inside, with point charges inside of each

Please, help me. I have to find the Green's function in the following region, but I don't have any idea how to find it: I have a conducting spherical shell of radius a; in the center there are 2 ...
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Induced charge according to method of images

If we place a charge +q at a distance a along the x-axis from a grounded plate, we can use the method of images to show the potential is $V(\textbf{r})=\frac{q}{4\pi \epsilon_0}(\frac{1}{r_1} -\frac{1}...
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How to calculate equilibrium point from image charge?

In Jackson's electrodynamics book, using the method of images for a charge outside an charged insulating conducting sphere, it says the image force becomes attractive at very close distances, and ...
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1answer
37 views

Problem with a sphere and a charge outside

I have something puzzling me... Consider the standard problem of a grounded sphere and a charge $q$ outside: Do I need to describe it? Alright! Consider a grounded sphere, $V=0$, with radius $a$ ...
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Eletric potential outside a conductor sphere [closed]

During my chemistry graduation, my Physics III professor gave to us an exercise that would worth an adition in the final mean. Well, I've finished the graduation, and the exercise was forgoten until ...
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1answer
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Can image method (method of image charges) of electrostatics be used for curved surface?

Suppose we have a fixed point charge in front of a half cylinder. Can we find energy of system using this method? If so, how? I have seen image method being used for infinite sheets. Can we use it if ...
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2answers
169 views

energy of point charge within grounded sphere

Suppose we have a conducting grounded hollow sphere of radius $R$, and suppose that we have a point charge $q$ located at a distance $d$ from the centre of the sphere. $(d < R)$. How can the ...
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1answer
429 views

Can I use method of images for a point charge outside a solid dielectric sphere?

My question arised while solving Classical Electrodynamics(J. D. Jackson) Pro 4.9a Find a potential at all points in space for a point charge $q$ located in a free space a distance $d$ from the ...
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A point electric charge in an angle sector: does the Green's function expansion simplify to the method of images if the angle is right?

Suppose that you're doing electrostatics in two dimensions (or, equivalently, in 3D with translation invariance along $z$) and you're studying the response to a point charge in an angle sector of ...
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1answer
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Method of images for intersection of two planes

Vanderlinde's Classical Electromagnetic Theory discusses the method of images, with examples given for intersecting infinite conducting (half) planes. In particular, the "kaleidoscope" effect of ...