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Supercapacitors Benefit from Large Effective Surface Areas and Small Electrode 100 F100 \mathrm {~F}

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Supercapacitors benefit from large effective surface areas and small electrode separation distances. A typical small supercapacitor (produced by Maxwell Industries, San Diego, CA) has a capacitance of 100 F100 \mathrm {~F} . It is a cylindrical device with a length of 4.5 cm4.5 \mathrm {~cm} and a diameter of 2.2 cm2.2 \mathrm {~cm} . What are the dimensions of a 100 F100 \mathrm {~F} traditional parallel plate capacitor (with a square geometry) that uses an electrolyte with a dielectric constant εr=2.0\varepsilon _ { \mathrm { r } } = 2.0 and has a plate separation of 0.01 mm0.01 \mathrm {~mm} ?

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