Capacitance vs. Inverse Distance Graph's Slope

[Ayda]

Homework Statement

I plotted a graph where Capacitance is at y-axis and Inverse Distance is at x-axis. It looks like a positive, increasing function.

I am asked of a best fit, also an equation. But i am not sure whether to use quadratic or linear fit. I am also asked of what the slope corresponds to. The plate area of the capacitor was kept constant, we only changed distance.

Homework Equations

y=2.8e-13*x+6.1e-12 Is the equation of a linear slope.

The Attempt at a Solution

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I thought the slope would correspond to electric permittivity. But now i have big doubts about it. I also assumed the slope would be a linear fit, but I am not sure. Also, what does the numerical value of slope in the equation would mean? Any help would be very much appreciated. Thank you.

 

[FactChecker]

The theoretical model is $C = \epsilon * A/d$. (see https://www.electronics-tutorials.ws/capacitor/cap_4.html )
In the theoretical model, $\epsilon * A$ is related to your 2.8e-12, the $1/d$ is related to your x, and there is no constant term like your 6.1e-12.

 

[Ayda]

The theoretical model is $C = \epsilon * A/d$. (see https://www.electronics-tutorials.ws/capacitor/cap_4.html )
In the theoretical model, $\epsilon * A$ is related to your 2.8e-12, the $1/d$ is related to your x, and there is no constant term like your 6.1e-12.

Thank you so much.