Wires capacitive coupling
Mutual capacitance between two perpendicular crossing wires, quantifying the electrostatic coupling produced by the electric field between conductors at opposite potentials.
Engineering Problem
How can the capacitive coupling between perpendicular crossing wires be found?
Answer
Apply opposite potentials to the two perpendicular wires, compute the stored electrostatic energy, and derive the mutual capacitance from C = 2W/U².
Typical Applications
- Perpendicular crossing conductors
- Wire harness crossings
- Cable routing crossovers
Simulation Problem
- Problem Type
- 3D imported-model Electrostatics
- Geometry
- Two perpendicular crossing wires, spacing b = 10 mm, wire 1 diameter d1 = 8 mm, wire 2 diameter d2 = 2 mm, wire length L = 200 mm, surrounded by air.
- Given
- Wire spacing b = 10 mm
- Wire 1 diameter 8 mm, wire 2 diameter 2 mm
- Wire length 200 mm
- Task
- Compute the mutual capacitance between the two wires.
- Solution
To compute the capacitance, opposite potentials U are applied to the two wires: +1 V and −1 V.
QuickField computes the field distribution and the total stored energy W; the capacitance is then C = 2W / (ΔU)².
- Results
Field energy W = 4.58 pJ, potential difference ΔU = 2 V.
Mutual capacitance C = 2 × 4.58 pJ ÷ 2² = 2.29 pF.
