Step 10: The capacitance of a parallel plate capacitor is given by: C = Aεā / d, where εā is the permittivity of free space. Since we kept the area fixed in our experiment, we fit our data to the function: C = P / x. Our x is the same as d, the separation between the plates. That means: P = Aεā. You already know the value of P from your fit to the data, and Area A = 100 x 10ā»ā¶ m². Use these values in the above equation to find εā. Show all your work below.
εā(experiment) =
Actual value of the permittivity of free space: εā(actual) = 8.85 x 10ā»Ā¹Ā² C²/Nm²
Step 11: Find the % error. Show all your work below:
% error = |(εā(actual) - εā(experiment)) / εā(actual)| x 100