Why is each plate only reacting to the nearest charge?quittingthecult said:
I just want to give a heads up that this is my first real problem that isn't as trivial as a p.c. and a single grounded plane so this is really new to me.quittingthecult said:
No, you misunderstood my comment. Just consider one plate but both charges to start with. What do you get for that?quittingthecult said:
I believe I should get this as a resultharuspex said:
I think your green distance is incorrect..quittingthecult said:I guess I didnt think about the image charges also effecting the plates.
Right.quittingthecult said:
Should it be this? Kind of like what I originally drew?haruspex said:
My professor is pretty nice lolhutchphd said:
Actually there was no reason. for me to label the h/2. I am trying to find the force wrt to the +q inside the capacitor. So I just need to know how far is each charge so I can plug in the right r when I take the sum of all forces.hutchphd said:
No. The lower plate should no longer be there since it is replaced by the two image charges. That leaves you with one plate and four charges. So what do you need to add to replace the upper plate?quittingthecult said:
Right the plate shouldn't be there anymore I missed that. Its like you said, we are throwing away the plate and replacing it with image charges.haruspex said:
No, you are still missing it. After replacing the lower plate with two image charges you have four charges in total. So how many images in the upper plate?quittingthecult said:
So I would need 4 image charges to get rid of the upper plate?haruspex said:
Yes, I believe so.. though suddenly I am worried by the resulting asymmetry.quittingthecult said:
So like this? I am considering the +q already in the capacitor a charge belong to the upper as well. Or would I need an additional negative charge all the way up top?haruspex said:
Ah! Jst seen my error. I have not allowed for the redistribution of charges on the first plate when the second is introduced. Let me think some more...haruspex said:
Could you show me how that would look? My professor nor my textbook have gone over infiniite sequencesharuspex said:
Fill in the gap sizes in post #17. you should see the pattern.quittingthecult said:
The method of images between parallel plate capacitor is a mathematical technique used to solve problems involving electric fields and charges between two parallel conducting plates. It involves creating a virtual image charge to mimic the behavior of the actual charge and simplifying the problem.
The method of images works by creating a virtual image charge that is equal in magnitude but opposite in sign to the actual charge. This image charge is placed at a specific location to satisfy the boundary conditions of the problem, and its electric field is then combined with the electric field of the actual charge to determine the total electric field between the parallel plates.
The method of images is advantageous because it simplifies complex problems involving parallel plate capacitors, making them easier to solve. It also provides a more intuitive understanding of the behavior of electric fields and charges in this type of system.
The method of images is limited to problems involving parallel plate capacitors and cannot be applied to other types of capacitors or systems with different geometries. It also assumes ideal conditions and does not account for any real-world factors such as imperfections in the conducting plates.
No, the method of images is only applicable to problems with uniform electric fields between parallel conducting plates. It cannot be used for non-uniform fields, as the virtual image charge would not be able to accurately mimic the behavior of the actual charge in these cases.