Calculate the capacitance of a material in air with area 20 units and distance between plates is 5m.

To calculate the capacitance of a parallel plate capacitor in air, you can use the formula:

[C = epsilon_r epsilon_0 frac{A}{d}]

Where:

– (C) is the capacitance in farads (F),

– (epsilon_r) is the relative permittivity of the dielectric material between the plates (for air, it can be approximated as 1),

– (epsilon_0) is the vacuum permittivity, equal to approximately (8.854 times 10^{-12} text{F/m}) (farads per meter),

– (A) is the area of one of the plates in square meters (m²),

– (d) is the distance between the plates in meters (m).

Given:

– (A = 20) units (assuming units means square meters, (20 m^2)),

– (d = 5 m),

The equation with given values:

[C = 1 times 8.854 times 10^{-12} text{F/m} times frac{20}{5}]

[C = 8.854 times 10^{-12} text{F/m} times 4]

[C = 35.416 times 10^{-12} text{F}]

[C = 35.416 text{pF}]