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What is the proper value of L to use for the capacitor?

You need to construct a 400 pF capacitor for a science project. You plan to cut two metal squares and place spacers between them. The thinnest spacers you have are 0.10mm thick. What is the proper value of L?
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R
Raymond Moen

Feb 20, 2025

The capacitance of a parallel plate capacitor is given by C= k e0 A /dwhere k is the relative permittivity of the dielectric between the plates , assume air=1e0 = permittivity of space = 8.854 x 10^ -12 A = area of plates = L^2 for square plates d = distance between plates = 0.10 x 10 ^ -3 metersC= capacitance = 400 x 10^ -12 F for problemrearrange equation to solve for AA= (C d) / (k e0)A= ( 400 x 10^ -12) (0.10 x 10^ -3) / (1) (8.854 x 10 -12)A= 4 x 10^ -14 / 8.854 x 10^ -12 = 4.5 x 10^ -3 m^2L = sqrt(A) = 67.2 mm... Show More
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