How Do You Calculate Capacitance with Two Different Dielectrics?

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To calculate the capacitance of a capacitor with two different dielectrics, treat the two slabs as capacitors in series, each with half the thickness. The effective capacitance can be determined using the formula for capacitors in series, which involves the individual capacitances derived from their respective dielectric constants. An average dielectric constant is not appropriate in this scenario. This method allows for accurate capacitance calculation when dealing with multiple dielectrics. Understanding this approach clarifies the process for similar capacitor configurations.
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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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