43. 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=κ ε,where Ais the plate area. The electric field in the upper half is EqA220=κ ε.Let d/2 be the thickness of each dielectric. Since the field is uniform in each region, the potential difference between the plates is VE dE dqdAqdA=+=+LNMOQP=+1201201212222112εκκεκκκ κ, so CqVAd==+201212εκ κκκ.This expression is exactly the same as that for Ceqof two capacitors in series, one with dielectric constant κ1and the other with dielectric constant
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Electric charge, Permittivity, Inductor, Dielectric