Suppose, one wishes to construct a 1.0-f capacitor using circular discs. If the separation between the discs be kept at 1.0 mm, what would be the radius of the discs?

Given:

C = 1 F

d=1 mm

Formula used :

Capacitance is given by

Where

C is the capacitance of the capacitor

D is the separation between the capacitor plates

A is the area of a circular plate capacitor

ε₀ is the permittivity of the free space=8.85×10-12 F/m

A = area of the circle =.Because capacitor plates are circular discs.

=6×103 m=6000 m=6 km

For the construction of 1F capacitor with 1mm separation, we need to take the radius r=6 Km.

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