Is there a magnetic field in a capacitor during leakage or discharge?

AI Thread Summary
When a capacitor is leaking or discharging, the presence of a magnetic field between its plates can be analyzed using Maxwell's equations, which indicate that a changing electric field leads to displacement current. The discussion reveals confusion regarding a teacher's assertion that the magnetic field is zero during leakage, despite the existence of displacement current due to the changing electric field. To compute the magnetic field accurately, it is necessary to assume uniform leakage across the capacitor plates. Participants express a desire for clarity on the calculations that led to the teacher's conclusion of zero magnetic field. Understanding the relationship between leakage current and displacement current is crucial for resolving this confusion.
Anurag00
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When capacitor is leaking ie, when charge is leaking or when it is discharging then will there be any magnetic field between the parallel plates of capcitor?
 
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Take a look at maxwell's equations. what are the 2 contributions to the magnetic field?
 
Well the electric field changes and so there will be an electric flux which varies accordingly and so due this there will be displacement current. But my physics teacher gave a question in which there was charge leakage in the parallel plate capacitor and gave information about the dimensions of capacitor and charge stored and about the rate of charge leak. But when i applied the maxwell theory then my teacher gave us the answers which gave zero to be the correct answer... Thats why i am confused.
 
So, there is displacement current because the electric field changes and there is the leakage current. you should be able to work out what the magnetic field should be. It seems your teacher also did this.
If you want to compute the magnetic field everywhere between the plates, you will have to assume the leakage is the same everywhere.
 
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willem2 said:
So, there is displacement current because the electric field changes and there is the leakage current. you should be able to work out what the magnetic field should be. It seems your teacher also did this.
If you want to compute the magnetic field everywhere between the plates, you will have to assume the leakage is the same everywhere.
But from here nothing comes to my mind. I am almost clueless from here.
 
Anurag00 said:
then my teacher gave us the answers which gave zero to be the correct answer...
Can you show us the calculation that your teacher did to conclude that it is zero?
 
Anurag00 said:
But from here nothing comes to my mind. I am almost clueless from here.

You must have seen an equation where this displacement current appears. You should be able to find everything what is needed to work out the displacement current, with what you already know about capacitors.
 
berkeman said:
Can you show us the calculation that your teacher did to conclude that it is zero?
He just gave the answer verbally, not the solution.
 
willem2 said:
You must have seen an equation where this displacement current appears. You should be able to find everything what is needed to work out the displacement current, with what you already know about capacitors.
Let me try again.
 
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