Question: The drawing shows a parallel plate capacitor. One-half of the region between the plates is filled with a material that has a dielectric constant K1.

The drawing shows a parallel plate capacitor. One-half of the region between the plates is filled with a material that has a dielectric constant K1. The other half is filled with a material that has a dielectric constant K2. The area of each plate is A, and the plate separation is d. The potential difference across the plates is V. Note especially that the charge stored by the capacitor is q1 + q2 = CV, where q1 and q2 are the charges on the area of the plates in contact with materials 1 and 2, respectively. Show that C = Ïµ0 A(Îº1 + Îº2)/(2d).

K2.

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