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A parallel-plate capacitor with plates of area LW and plate separation t has the region between its plates filled with wedges of two dielectric materials as shown in Figure P25.48. Assume t is much less than both L and W. (a) Determine its capacitance. (b) Should the capacitance be the same if the labels κ1 and κ2 are interchanged? Demonstrate that your expression does or does not have this property. (c) Show that if κ1 and κ2 approach equality to a common value κ, your result becomes the same as the capacitance of a capacitor containing a single dielectric: C = κϵ0LW/t.
Figure P25.48
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