A parallel plate capacitor filled with air has an area 6 cm2 and the plate separation is 2 mm. Calculate its capacity.
Q.22 A parallel plate capacitor filled with air has an area 6 cm2 and the plate separation is 2 mm. Calculate its capacity.
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Answer: \(C=2.655\times10^{-12}\) F \(\approx2.66\) pF
Given \(A=6\) cm2 \(=6\times10^{-4}\) m2, \(d=2\) mm \(=2\times10^{-3}\) m, \(\varepsilon_0=8.85\times10^{-12}\) C2/N m2.
For an air capacitor, \(C=\dfrac{\varepsilon_0A}{d}=\dfrac{8.85\times10^{-12}\times6\times10^{-4}}{2\times10^{-3}}\)
\(=8.85\times3\times10^{-13}=26.55\times10^{-13}=2.655\times10^{-12}\) F \(\approx2.66\) pF.
Doubtly AI
· 28 Oct 2026
AI-verified · Oct 2026
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