# 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.

Homework Helper
Gold Member
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
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.