Question:
In the reported figure, a capacitor is formed by placing a compound dielectric between the plates of parallel plate capacitor. The expression for the capacity of the said capacitor will be :
(Given area of plate = A)
Correct Option: 1
Solution:
$\frac{1}{C_{\text {eff }}}=\frac{\mathrm{d}}{\mathrm{K} \in_{0} \mathrm{~A}}+\frac{2 \mathrm{~d}}{3 \mathrm{~K} \in_{0} \mathrm{~A}}+\frac{3 \mathrm{~d}}{5 \mathrm{~K} \in_{0} \mathrm{~A}}$
$\mathrm{C}_{\mathrm{eff}}=\frac{15 \mathrm{~K} \in_{0} \mathrm{~A}}{34 \mathrm{~d}}$
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