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Two intersecting conducting planes electric field - QuickField simulation example

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.

Engineering question

How to calculate the electric field near the corner formed by two intersecting conducting planes?

Answer
Close the open-space electrostatic model with a distant zero-potential boundary and compare the field profile near the corner with the analytical reference.

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Typical applications
intersecting conducting planes, electrode corner geometries, conductor edge regions

Two intersecting conducting planes electric field

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Simulation problem

Problem Type
Plane-parallel problem of electrostatics.

Geometry
Two intersecting conducting planes electric field Two conducting planes intersect at an angle 270°. Find the electric field distribution near the corner. 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.

Results
Electric field strength distribution along the plane:


intersecting planes electric field

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

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