A parallel plate capacitor is made of two dielectric blocks in series. One of the blocks has thickness d₁ and dielectric constant k₁ and the other has thickness d₂ and dielectric constant k₂ as shown in Fig. 2.3. This arrangement can be thought as a dielectric slab of thickness d (= d₁+d₂) and effective dielectric constant k. The k is

Question

Philoid · Accepted Answer

Since, the two dielectrics are connected in series, we can regard them as two capacitors in a series combination with different dielectrics.

For capacitor 1

For capacitor 2

Series equivalent

Also

On comparing the above two equations, we get