Question

a parallel-plate capacitor has a plate separation of 1.00 mm.1)if the material between the plates is air, what plate area is required to provide a capacitance of 1.00 pf?

Answer 1

To calculate the plate area required for a parallel-plate capacitor with a capacitance of 1.00 pF and a plate separation of 1.00 mm, use the formula A = (C * d) / ε₀. Substituting the given values, the required plate area is 1.13 cm².

Step-by-step explanation:

To calculate the plate area required to provide a capacitance of 1.00 pF for a parallel-plate capacitor with a plate separation of 1.00 mm and air as the material between the plates, we can use the formula:

C = (ε₀ * A) / d

Where C is the capacitance, ε₀ is the permittivity of free space (8.85 x 10^(-12) F/m), A is the plate area, and d is the plate separation.

Rearranging the formula, we get:

A = (C * d) / ε₀

Substituting the given values, we have:

A = (1.00 x 10^(-12) F * 1.00 x 10^(-3) m) / (8.85 x 10^(-12) F/m)

Simplifying the equation, the required plate area is 1.13 cm².