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Variable capacitor

Variable air capacitor consists of fixed stator plates and movable rotor. Capacitance between the stator plates depends on the position of the rotor.

Problem Type: electrostatics.

Geometry: 3D extrusion.


Variable capacitor Variable air capacitor consists of fixed stator plates and movable rotor. Rotor V- V+ Stator Stator

Given:
Relative permittivity of air ε = 1,
Potential difference ΔU = 1000 V

Problem:
Find the mutual capacitance between two stators as a function of the rotor position.

Solution:
QuickField simulation gives energy W and electric potential U distribution. The capacitance then can be calculated as C = 2W / ΔU2.

Results:

Rotating angle α

Energy W

Capacitance C

1.29 uJ

2.58 pC

30°

2.25 uJ

4.50 pC

60°

2.97 uJ

5.94 pC

90°

3.22 uJ

6.44 pC

variable capacitor simulation

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