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Parallel plate capacitor of capacitance \(C\) has spacing \(d\) between two plates having area \(A\). The region between the plates is filled with \(N\) dielectric layers, parallel to its plates, each with thickness \(\delta=\frac{d}{N}\). The dielectric constant of the \(m^{\text {th }}\) layer is \(K_m=K\left(1+\frac{m}{N}\right)\). For a very large \(N\left(>10^3\right)\), the capacitance \(C\) is \(\alpha\left(\frac{K \in_0 a}{d \ln 2}\right)\). The value of \(\alpha\) will be  📲PW App Link - https://bit.ly/YTAI_PWAP 🌐PW Website - https://www.pw.live