A parallel plate capacitor has plates of area A positioned at x=0 and x=b. The free...
A parallel plate capacitor has plates of area A positioned at
x=0 and x=b. The free surface charge density on the plates is
±σfree with (+) charge at x=0.
The space between the plates is filled with a non-uniform
dielectric whose relative permittivity varies continuously between
the plates as:
?? = ??^??,? > 1 ??? ? > 0.
a) Derive expressions for the capacitance of the device.
b) Derive expressions for the surface polarization charge density
at each electrode and the volume polarization charge density in the
dielectric.
c) Calculate the total polarization charge.
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Answer:
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