A parallel plate capacitor of capacitance Chas 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 δ=dN. The dielectric constant of the mth layer is Km=K(1+mN). For a very large N(>103), the capacitance C is α(K∈0Adln2). The value of α will be . [∈0 is the permittivity of free space]

A parallel plate capacitor of capacitance Chas spacing d between two p

1.	A parallel plate capacitor of capacitance Chas 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 δ=dN. The dielectric constant of the mth layer is Km=K(1+mN). For a very large N(>103), the capacitance C is α(K∈0Adln2). The value of α will be . [∈0 is the permittivity of free space]
Answer» A 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 $δ = \frac{d}{N}$ . The dielectric constant of the $m^{t h}$ layer is $K_{m} = K (1 + \frac{m}{N})$ . For a very large $N (> 10^{3})$ , the capacitance $C$ is $α (\frac{K \in_{0} A}{d l n 2})$ . The value of $α$ will be . [ $\in_{0}$ is the permittivity of free space]

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