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 chargedensity 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.

Expert Solution

genius_generous answered 2 years ago

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