A parallel plate capacitor, with plate area ′A′ and distance of separation ′d′, is filled with a dielectric. What is the capacity of the capacitor when permittivity of the dielectric varies as follows: ϵ(x)=ϵ0+kx, for (0<x≤d2)ϵ(x)=ϵ0+k(d−x), for (d2≤x≤d)

A parallel plate capacitor, with plate area ′A′ and distance of se

1.	A parallel plate capacitor, with plate area ′A′ and distance of separation ′d′, is filled with a dielectric. What is the capacity of the capacitor when permittivity of the dielectric varies as follows: ϵ(x)=ϵ0+kx, for (0<x≤d2)ϵ(x)=ϵ0+k(d−x), for (d2≤x≤d)
Answer» A parallel plate capacitor, with plate area $^{'} A^{'}$ and distance of separation $^{'} d^{'}$ , is filled with a dielectric. What is the capacity of the capacitor when permittivity of the dielectric varies as follows: $ϵ (x) = ϵ_{0} + k x,$ for $(0 < x \leq \frac{d}{2})$ $ϵ (x) = ϵ_{0} + k (d - x)$ , for $(\frac{d}{2} \leq x \leq d)$

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A parallel plate capacitor, with plate area ′A′ and distance of separation ′d′, is filled with a dielectric. What is the capacity of the capacitor when permittivity of the dielectric varies as follows: ϵ(x)=ϵ0+kx, for (0&lt;x≤d2)ϵ(x)=ϵ0+k(d−x), for (d2≤x≤d)

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A parallel plate capacitor, with plate area ′A′ and distance of separation ′d′, is filled with a dielectric. What is the capacity of the capacitor when permittivity of the dielectric varies as follows: ϵ(x)=ϵ0+kx, for (0<x≤d2)ϵ(x)=ϵ0+k(d−x), for (d2≤x≤d)