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(1) As shown in the Figure below, a parallel-plate capacitor of plate area A is filled with two laye ers of dielectrics, di a

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2 2 2 εε

d; ει Electric fields inside of capacitor (1) If V is the voltage across the top layer and V2 across the bottom layer, then V

Date:Pag: no 넉 charge duus.

Date:I Paぶno: KIED d I CI di

or

Multiplying numerator and denominator of the expression for C by A/dıd2, we have dı d2 where & A C2 dh

4 answer

In a region where the permittivity is uniform and where there is no unpaired charge, the electric potential obeys Laplace's equation.

equation GIF #6.67

If all of the region of interest is filled by a uniform dielectric, it is clear from the foregoing that all equations developed for fields in free space are now valid in the presence of the uniform dielectric. The only alteration is the replacement of the permittivity of free space epsilon.gifo by that of the uniform dielectric. where Phi.gif and E were determined in a region of free space bounded by equipotentials, that region could just as well be filled with a uniform dielectric, and for the same potentials, the electric field intensity would be unaltered. However, the surface charge density sigma.gifon the boundaries would then be increased by the ratio epsilon.gif /epsilon.gifo.

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(1) As shown in the Figure below, a parallel-plate capacitor of plate area A is filled with two laye ers of dielectrics, di and de thick, with permittivities s and s2, respectively. Ignoring the r...
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