Find the capacitance of a parallel plate capacitor having plates of area 1.00 m2 that are separated by 0.400 mm of Teflon.
To find the capacitance of a parallel plate capacitor, you can use the formula:
C = (ε₀ * A) / d
Where:
C is the capacitance
ε₀ is the permittivity of free space (also known as vacuum permittivity) which is approximately 8.85 x 10^-12 F/m
A is the area of the plates
d is the separation distance between the plates
Given that the area (A) of the plates is 1.00 m² and the separation distance (d) is 0.400 mm (or 0.400 x 10^-3 m), we can substitute these values into the formula to find the capacitance.
C = (8.85 x 10^-12 F/m * 1.00 m²) / (0.400 x 10^-3 m)
First, let's simplify the numbers in the formula:
C = (8.85 x 1.00) / 0.400
C = 22.14 F
Therefore, the capacitance of the parallel plate capacitor is 22.14 Farads (F).