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Two intersecting conducting planes electric field
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 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 *
|
|
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.