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

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SUMMARY

The discussion centers on whether a magnetic field exists between the plates of a leaking or discharging capacitor. According to Maxwell's equations, a changing electric field generates a displacement current, which contributes to the magnetic field. However, the confusion arises when a teacher asserts that the magnetic field is zero during leakage, despite the presence of displacement current. The participants emphasize the need to calculate the magnetic field while assuming uniform leakage across the capacitor's plates.

PREREQUISITES
  • Understanding of Maxwell's equations
  • Knowledge of displacement current concept
  • Familiarity with capacitor behavior during discharge
  • Ability to perform electromagnetic field calculations
NEXT STEPS
  • Study the derivation of displacement current in capacitors
  • Learn how to apply Maxwell's equations to dynamic electric fields
  • Investigate the conditions under which magnetic fields are generated in capacitors
  • Explore practical examples of capacitor leakage and its effects on magnetic fields
USEFUL FOR

Physics students, electrical engineers, and anyone interested in electromagnetic theory and capacitor behavior during leakage and discharge.

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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