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Main >> Applications >> Sample problems >> 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:
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 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 |
* Reference: J.D.Jackson, Classical Electrodynamics, 3rd edition, Sect. 2.11.