If I want to build a parallel plate capacitor with capacitance 1 F,with a distance of 1 mm between the plates,and the gap filled with glass (dielectric constant 10.0),I would have to use square plates of side length

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The capacitance C of a parallel plate capacitor is given by C = ε₀ * εr * A / d, where ε₀ is the permittivity of free space (8.85 x 10^-12 F/m), εr is the dielectric constant, A is the area of the plates, and d is the separation between the plates. Solving for A with C = 1 F, εr = 10, and d = 0.001 m, we find A = 1.13 x 10^6 m². The side length of the square plates is the square root of A, which is approximately 3.4 km.

If I Want to Build a Parallel Plate Capacitor with Capacitance