Wires capacitive coupling

QuickField simulation example

Calculate electrostatic coupling between two perpendicular wires. See also parallel wires capacitance.

Problem Type
3D Import model of Electrostatics.

Geometry

Spacing between wires b = 10 mm, wire 1 diameter d1 = 8 mm, wire 2 diameter d2 = 2 mm. Wire's length L = 200 mm.

Given

Task
Calculate mutual capacitance between wires.

Solution
To calculate capacitance we assign opposite electric potentials U to the wires: +1V and -1V. QuickField calculates electric field distribution and the total stored energy W. Electric capacitance then is C = 2*W / (ΔU)²

Results
Electric field energy W = 4.58 pJ, potential difference ΔU = 2 V.
Capacitance C = 2*4.58 pJ / 2² = 2.29 pF.

Electric field distribution around wires.

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