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Cylindrical needle to plane electric field

Problem Type:
Axisymmetric problem of electrostatics.

Geometry:

cylindrical needle electrode
Distance from needle tip to plane surface - 5 mm.

Given:
Relative permittivity of air ε = 1;
Needle potential U = 10 kV
Plate potential 0 V

Problem:
Determine the electric field strength distribution as a function of needle diameter d.

Solution:
Parametric analysis is automated with LabelMover tool.

Results:
Electric potential distribution around the needle, d=2 mm.

needle-plane electric stress

Needle diameter d, mm.

2

6

10

22

Electric stress
at the needle tip, kV/mm.

9.7

4.6

3.5

2.6

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