Maxwell Ampere law capacitor problem

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SUMMARY

The discussion centers on the Maxwell-Ampere law as it pertains to capacitors, specifically addressing the behavior of displacement current during charging and discharging phases. It is established that the direction of the displacement current is contingent upon the change in electric charge (Q) within the capacitor. When the capacitor is charging, the displacement current flows in the direction of the increasing electric field, while during discharging, the current direction reverses as the electric field decreases. This nuanced understanding clarifies misconceptions regarding the constancy of magnetic field direction in relation to displacement current.

PREREQUISITES
  • Understanding of Maxwell's equations
  • Familiarity with capacitor behavior in electrical circuits
  • Knowledge of electric fields and displacement current
  • Basic principles of electromagnetic theory
NEXT STEPS
  • Study the implications of the displacement current in Maxwell's equations
  • Explore the relationship between electric field variation and displacement current
  • Investigate the effects of charging and discharging on magnetic fields in capacitors
  • Learn about practical applications of capacitors in AC circuits
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Students of physics, electrical engineers, and anyone interested in understanding electromagnetic theory and capacitor functionality in circuits.

Amaelle
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Good day All!
I have an issue solving this question
CAPACITOR1.png


According to my basic understanding, the displacement current goes from the positive plate to the negative plate, so whether the capacitor is charging or discharging the magnetic field direction should remain the same, but here is the the solution
CAPACITOR2.png

I know that there is something missing in my understanding, so any help would be highly appreciated! thanks!
 

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Amaelle said:
Good day All!
I have an issue solving this questionView attachment 219853

According to my basic understanding, the displacement current goes from the positive plate to the negative plate, so whether the capacitor is charging or discharging the magnetic field direction should remain the same, but here is the the solutionView attachment 219854
I know that there is something missing in my understanding, so any help would be highly appreciated! thanks!

I don't think you are correct when you say, "[...] the displacement current goes from the positive plate to the negative plate, so whether the capacitor is charging or discharging the magnetic field direction should remain the same [...]."

The direction of the displacement current can change depending on whether the capacitor is charging (Q increasing) or discharging (Q decreasing).

[Hint: the displacement current in this example is zero when the real current is zero (when Q is not changing).]
 
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Thanks a million, the direction of the displacement current is that of the variation of the Electric field , is that case, the current goes up means that E is increasing means that the capacitor is charging!
 
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