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Main >> Applications >> Sample problems

Variable capacitor - QuickField simulation example

Mutual capacitance between the two stators of a variable air capacitor versus rotor position, showing how plate overlap controls capacitance.

Engineering question

How to find capacitance versus rotor position in variable air capacitor?

Answer
Calculate stored electrostatic energy at each rotor position and obtain capacitance from C = 2W/U^2.

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Typical applications
variable air capacitors, tuning capacitors, rotor-stator plate capacitors

Variable capacitor

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Simulation problem

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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