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Main >> Applications >> Sample problems

Touch sensor capacitance - QuickField simulation example

Touch sensor consists of two circular electrodes, transmitting Tx and receiving Rx rings, placed on the dielectric board. Presence of the conductive stylus in their vicinity affects the capacitance between electrodes.

Engineering question

How to calculate the effect of stylus distance on the capacitance between a touch sensor's Tx and Rx electrodes?

Answer
Treat the stylus as a floating conductor and use LabelMover to sweep its distance while calculating capacitance from charge over Tx–Rx potential difference.

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Typical applications
capacitive stylus sensors, touch electrodes, proximity sensing elements

Touch sensor capacitance

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Simulation problem

Problem Type
Axisymmetric problem of electrostatics.

Geometry
Touch sensor capacitance Capacitance between Tx and Rx electrodes of a touch sensor versus stylus distance, showing how an approaching conductive object changes capacitive coupling. Stylus Tx Air Rx Dielectric 1 mm Ø10mm

Conducting rings thickness is 35 μm.

Given
Relative permittivity of dielectric is 4.7.

Task
Determine the capacitance of Tx and Rx electrodes as a function of a distance between the touch sensor and the stylus.

Solution
"Floating conductor" boundary condition is assigned to the stylus surface, there is no field inside the conductor.
Capacitance is a ratio of stored charge q to the potential difference ΔU between Rx and Tx electrodes.
Simulations are performed for different stylus positions. LabelMover tool is used to automate the series of calculations.

Results
Electric field distribution in and around the touch sensor:
Touch sensor capacitance

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