Question: A rectangular parallel-plate capacitor of length a and width b has a dielectric of width b partially inserted a distance x between the plates, as

A rectangular parallel-plate capacitor of length a and width b has a dielectric of width b partially inserted a distance x between the plates, as shown in Figure.

(a) Find the capacitance as a function of x. Neglect edge effects.

(b) Show that your answer gives the expected results for x = 0 and x =a.

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