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Variable capacitor

variable capacitor FEA finite element analysis, electric field in the 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

Task
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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