(Solution) - A parallel plate capacitor is constructed from a layer of silico -(2025 Original AI-Free Solution)

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A parallel-plate capacitor is constructed from a layer of silicon dioxide of thickness 5 × 10-6 m between two conducting films. The dielectric constant of silicon dioxide is 3.8 and its dielectric strength is 8 × 106 V/m.
(a) What voltage can be applied across this capacitor without dielectric breakdown?
(b) What should the surface area of the layer of silicon dioxide be for a 10-pF capacitor?
(c) Estimate the number of these capacitors that can fit into a square 1 cm by 1 cm.