a and b

(7) [5 points] Liquid levels are often measured by detecting the change in capacitance as a liquid with dielectric constant K fills the space between the plates of a capacitor. Consider such a device comprised of a long parallel plate capacitor with width 1.0 cm, length 1.0 meter, and spacing between the plates of 1.0 mm; (a) Find a formula relating the capacitance measured on an external capacitance meter to the level of the liquid, ft, above the bottom edge of the capacitor. Express your result in the form C = C0 + Bh and find CD and B. (b) What is the capacitance when the liquid level is empty and when it is full? Consider two liquids: gasoline (K = 2.0) and ethanol (K = 24.6)