(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

2. Relevant equations

[itex]\int\vec{E}\cdot\vec{dA}=\frac{Q_{enc}}{\epsilon_{0}}[/itex]

[itex]\int\vec{E}\cdot\vec{dA}=\frac{Q_{enc}}{k\epsilon_{0}}[/itex]

[itex]V=\int\vec{E}\cdot\vec{dS}[/itex]

[itex]C=\frac{q}{V}[/itex]

[itex]C_{eq}=C_{1}+C_{2}+...[/itex]

[itex]\frac{1}{C_{eq}}=\frac{1}{C_{1}}+\frac{1}{C_{2}}+...[/itex]

3. The attempt at a solution

I didn't want to do the calculations in itex because it would take forever, but this is what i have so far. I just did the integrations quickly and went straight to the point and put in the equations.

With the answer that I get I can't seem to get the answer. I have spent a lot of hours on this problem and it took me a while to figure out the proper areas and dimensions, but even after all that I am stuck. What is my problem? I have a feeling it has to do with the 4h^2 (it's not the right dimensions for the dielectric area).

Thanks

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# Homework Help: Capacitance of a capacitor with dielectric of variable dimensions and constant volume

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