How Do You Calculate Capacitance with Two Different Dielectrics?

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SUMMARY

The capacitance of a capacitor with two parallel slabs of dielectric materials, each with different dielectric constants, is calculated by treating them as two capacitors in series. Each slab has equal thickness, and the effective capacitance can be determined using the formula for capacitors in series, which accounts for the differing dielectric constants. This method provides a definitive approach to calculating the overall capacitance in such configurations.

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Brewer
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Silly question, but I can't find the answer anywhere in my notes.

When you have a capacitor with two parallel slabs of dialectric (equal thickness, different dialectric constants) in between the plates of a capacitor, would you find the capacitance by linear superposition (I wouldn't have thought so), or by an average dialectric constant?

As I say it seems a little trivial, but I can't find the answer in either my notes or my textbook!

Thanks guys
 
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consider then as two capacitors in series, both having half thickness, with different dielectric constants.
 

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