49. We assume there is charge qon one plate and charge –qon the other. The electric field in the lower half of the region between the plates is EqA110=κε, where Ais the plate area. The electric field in the upper half is EqA220=. Let d/2 be the thickness of each dielectric. Since the field is uniform in each region, the potential difference between the plates is VEdqdAqdA=+=+LNMOQP=+120120222112εκκεκκ,so CqVAd==+22This expression is exactly the same as that for Ceqof two capacitors in series, one with dielectric constant 1and the other with dielectric constant 2. Each has plate area
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This note was uploaded on 06/03/2011 for the course PHY 2049 taught by Professor Any during the Spring '08 term at University of Florida.