Let ϵr1 = 2.5 for 0<y<1 mm, ϵr2 = 4 for 1<y<3 mm, and ϵr3 for 3<y<5 mm (region 3). Conducting surfaces are present at y = 0 and y = 5 mm. Calculate the capacitance per square meter of surface area if (a) region 3 is air; (b) ϵr3 = ϵr1 (c) ϵr3 = ϵr2; (d) region 3 is silver.
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