Capacitors and Potential Difference

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SUMMARY

The discussion focuses on calculating the potential difference between two points in a parallel plate capacitor setup, specifically with plates spaced 1.43 x 10-4 m apart. The given values include a capacitance of 5.264 x 10-15 F and a charge of 7.79 x 10-14 C. The key equations referenced include C = Q/ΔV and ΔV = EΔd, emphasizing the importance of understanding electric fields and potential differences in capacitor systems. The user seeks clarification on whether to use point-charge equations and how to approach the distances involved in the calculation.

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  • Understanding of parallel plate capacitor theory
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  • Ability to manipulate equations involving capacitance and charge
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  • Study the relationship between electric field strength and potential difference in capacitors
  • Learn how to apply the formula ΔV = EΔd in various capacitor configurations
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  • Investigate the use of point-charge equations in capacitor problems
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Kaoi
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Homework Statement


(Note: This is the fourth part of a single question, but it's the only part I'm having trouble with. Don't worry, it's not as simple as Q/V. :smile:)

"What is the potential difference between a point midway between the [circular, parallel] plates [which are 1.43 x 10-4 m apart] and a point that is 1.23 x 10-4 m from one of the plates? Answer in units of V."

Givens: (Some of these I have gotten from the (proven correct) solutions from other parts of the question.)

\Delta V_{0} = 0.148 V
\Delta d_{1} = 7.15 \times 10^{-5} m
\Delta d_{2} = 1.23 \times 10^{-4} m
C_{0} = 5.264 \times 10^{-15} F
Q_{0} = 7.79 \times 10^{-14} C

Needed:
\Delta V_{N} = ?

Homework Equations


C = \frac{Q}{\Delta V}
\Delta V = E\Delta d = \frac{\Delta PE_{e}}{q}
PE_{electric} = \frac{1}{2}C\Delta V^{2} = \frac{Q^{2}}{2C}

The Attempt at a Solution



Alright. My problem with this question isn't so much mathematical as conceptual. If I could figure out some things, I could definitely apply some equations to solve it.

-Should I use point-charge equations for this?
-Since we're talking about voltage between points and not charges, can I use the charge capacity of the capacitor in my equations?
-Can I add up the distances between the points, or do I need to work them separately because they are on different sides of the source of the field?
-If I change the voltage, wouldn't I be unable to use my values for C and Q, since they rely on a certain voltage?
 
Last edited:
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Since in a parallel plate capacitor, the electric field is constant at all points, the potential gradient must also be a constant. Therefore, the potential at a point midway will be q/2v.
 

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