Design an IV level measurement system using a capacitive sensor consisting of two vertical concentric

tubes, $10$mm and $12$mm in diameter. The maximum level height in the bottle is $200$mm$.$ Consider

$0=8\mathrm{.}81012$ and r $=80$ for the IV solution.

C $=2$$0$rL

ln $($ R$1$

R$2$

$)(1)$

$[5\%]$ Calculate the capacitance for the full bottle.

$[5\%]$ Calculate the capacitance for the empty bottle.

$[5\%]$ Air bubbles were trapped in the sensor$$s cavity. Determine whether the resulting IV solution

level will be reported as higher or as lower than the actual level