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

A liquid-level transducer consists of two parallel plates of conductor immersed in an insulating liquid. When the tank is empty the capacitance of the plates is 200pF. The relative dielectric constant of the liquid is 25. Determine an expression for the capacitance C as a function of the height x of the liquid.

3. The attempt at a solution

I understand the equation and how to use the dielectric constant. However, I'm not sure how to incorporate the combination of the part immersed in the liquid, and the part which isn't. Furthermore, when I try to plug known variables into the equation for the starting condition (no liquid), I have two unknowns--the width and the distance between the plates. How do I approach this problem?

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# Capacitance of two plates written in terms of height of liquid dielectric

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