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Needle-plane electrode system

QuickField simulation example

This electrode system is a classic example of the electric field concentration near the sharp tip of the needle.

Engineering question
How to find needle plane electrode field concentration?

Engineering answer
Set up an axisymmetric QuickField Electrostatics problem for a needle-plane electrode system and evaluate field concentration from computed field results.

Typical applications
needle-plane electrodes, high-voltage test electrodes, dielectric breakdown test setups

Problem Type
Axisymmetric problem of electrostatics.

Geometry
Needle-plane electrode system This electrode system is a classic example of the electric field concentration near the sharp tip of the needle. HV Grounded Ø 10 mm 4.5 mm 22.5°

Given
Relative permittivity of air ε = 1;
Needle potential U = 1 kV
Plate potential 0 V

Task
Determine the electric field distribution

Results
Electric potential distribution
needle-plane electrodes potential

Electric field strength distribution near the needle tip.
needle-plane electrodes electric stress