Question

Capacitive Displacement Sensor Problem . Please take a look picture below. Would you help me to calculate capacitive sensor sensitivity of both A and B's capacitor ?

Answer 1

@surry99 have idea?

Answer 2

I am confused how to calculate the capacitive sensor sensitivity of A's capacitor

Answer 3

@cwrw238 @wio @mathstudent55 @kropot72 @uri @undeadknight26 @JFraser

Answer 4

@Jemurray3

Answer 5

@surry99 hellooo

Answer 6

Recall that Q = CV, or V = Q/C. Additionally, for part B, you have that
\[ C = \frac{\epsilon_0 A}{x} \]
and so
\[V = \frac{Qx}{\epsilon_0 A} \]
If I understand what you're asking, then you want the quantity
\[S = \frac{dV}{dx} = \frac{Q}{\epsilon_0 A} \]
is that what you're looking for?