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Needle-plane electrode system

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

Problem Type:
Axisymmetric problem of electrostatics.

Geometry:

needle-plane electrodes model
All dimensions in mm.

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

Problem:
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

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