P.23 |
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P.24 Free Space Parallel Plate Capacitor |
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Statement
Two parallel conducting planes in free space are at y1 and y2. The zero reference is at y0. Given a flux density D between the conductors, determine the conductor voltages.
System Parameters
in the y direction
Permittivity of free space:
Solution
If you neglect fringing, then the boundaries of the problem are completely defined, and there will be a unique solution to Laplace's equation. Variation in the potential will be in y only, so
The electric field is given by
A constant
and
At the zero potential surface,
At y1:
At y2:
