### Variable Capacitor Analysis.

Variable Capacitor Analysis Bill Jones The capacitor to be analyzed is shown in Figure one. It is desired to find the capacitance C (A+B) and how it varies with respect to d. Figure one shows two capacitors. For our analysis they will be connected in parallel. The stators are separated by a distance x and the distance d is from stator A to the rotor. We are interested in the total capacitance C (A+B). The rotor thickness is negligible for our purpose. We normalize for simplicity. A=area in cm. squared. K=1 (dielectric constant). d=distance in cm. C in pf. We set x=1 and P=1 for simplicity since we are not interested in the absolute value. This will give equation2. A plot of the equation is shown in Figure 2. If we imagine the rotor plate to be perfectly centered at d=0.5, the capacitance is a minimum value. If d varies in either direction from d=0.5 the capacitance increas