Given two finite parallel planes of length l, width w, area A = lw, and separation d, one with total surface charge
and the other with
, the electric field can be found in cgs (ignoring edge effects) from
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so
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The capacitance (ignoring edge effects) then follows from the equation for voltage
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as
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If a current I were allowed to flow, the magnetic field is easily found as
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where c is the speed of light, so
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The inductance would then follow from
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as
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In MKS, the corresponding quantities as
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where
is the permittivity of free space and
is the permeability of free space.
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(1)
so
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(2)
The capacitance (ignoring edge effects) then follows from the equation for voltage
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(3)
as
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(4)
If a current I were allowed to flow, the magnetic field is easily found as
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(5)
where c is the speed of light, so
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(6)
The inductance would then follow from
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(7)
as
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(8)
In MKS, the corresponding quantities as
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(9)
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(10)
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(11)
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(12)
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(13)
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(14)
where
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