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Two intersecting conducting planes electric field

electric field between planes, electric field FEA analysis

Two conducting planes intersect at an angle β = 270°. The planes are assumed to be held at potential V. Find the electric field distribution near the corner.

Problem Type:
Plane-parallel problem of electrostatics.

Geometry:
RG 220 coaxial cable insulation Determine the electric field stress distribution in the cable insulation β=270° Air Conductor, V+

Given:
Relative permittivity of air ε = 1;
Voltage V = 100 V.

Solution:
Open space problem is converted to the closed region problem using the "zero potential" boundary far away from the studying object.

intersecting planes electric field

Results:
Electric field strength distribution along the plane is shown in the table.

r, m

Electric field strength, V/m

QuickField Reference *
(2π/r 1/3)
0.1 13.46 13.54
0.2 10.69 10.74
0.5 7.89 7.92
1 6.3 6.28
1.5 5.52 5.49
2 5.03 4.99
3 4.43 4.36

electric field strength along plane

* Reference: J.D.Jackson, Classical Electrodynamics, 3rd edition, Sect. 2.11.

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