Diagram of electric potential difference in plate capacitor

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Discussion Overview

The discussion revolves around the calculation of electric potential difference in a plate capacitor filled with two dielectrics and a metal. Participants explore the implications of given electric field values and the arrangement of dielectrics, focusing on diagramming potential differences and calculating voltages.

Discussion Character

  • Homework-related
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant questions the possibility of the electric potential φd being zero, suggesting that the electric field between points C and D must provide some insight into this.
  • Another participant prompts discussion on the implications of the electric field in the first dielectric being 30 kV/cm, asking what this indicates about the voltage across the first capacitor and the ratio of the two capacitances.
  • A later reply suggests that φd could actually be zero, but expresses uncertainty about the correctness of their approach and calculations.
  • One participant emphasizes the need to use point C as the reference point for potential, indicating that this would require adjusting the graph by a specific voltage value.
  • Another participant raises a question about the potential dip from D to E, inquiring whether the electric field changes direction at point E and noting the absence of a charge that could explain this change.
  • One participant concludes by stating they have solved the problem, thanking others for their assistance.

Areas of Agreement / Disagreement

Participants express differing views on the potential value at φd and the implications of the electric field and reference points. The discussion includes both agreement on the need for adjustments in calculations and unresolved questions about the behavior of the electric field.

Contextual Notes

There are limitations regarding the assumptions made about the electric field and potential values, as well as the specific conditions under which the calculations are performed. Some mathematical steps remain unresolved, particularly concerning the dip in potential and the behavior of the electric field.

PhanicKnight
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Homework Statement


Plate capacitor is filled with two dielectrics of constants 3 and 4, and with a metal as seen in the picture. If the el. field in the first dielectric is 30 kV/cm, do:

a) diagram of el. potential difference with calculated characteristic values using point C as a reference point.

b) voltage UBF

2. The attempt at a solution
scan0008.jpg


There's no way φd can be 0 and I don't know any other way of getting to it.
 
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PhanicKnight said:
If the el. field in the first dielectric is 30 kV/cm,
What does this tell you about the voltage across the first capacitor?
PhanicKnight said:
two dielectrics of constants 3 and 4,
What does this tell you about the ratio of two capacitances?
Edit: I just saw your attempt below the question. It wasn't clearly visible on my phone earlier.
 
PhanicKnight said:
There's no way φd can be 0
Why? What can you say about the E-field between C and D?
 
cnh1995 said:
Why? What can you say about the E-field between C and D?
Okay, so φd actually is 0. I tried something (see picture underneath), but I'm not sure if it's correct as I don't have correct answers.

scan0009.jpg
 
The question says to use the point C as the reference point, so presumably you must set that as the zero reference for potential. That means at the very least you need to shift your graph downwards by 120 kV.

How do you explain the dip in potential from D to E? Does the field change directions at E? I don't see a charge there that would account for it.
 
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I solved it, thank you all for the help!
upload_2016-11-16_1-38-17.png
 
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