Given:
The dimensions of the square electrodes are 2.7 cm x 2.7 cm
The spacing between them is d = 0.4 mm
A battery of 81.45 V is connected.
Required:
To calculate the capacitance in pico Farads.
Explanation:
The capacitance can be calculated by the formula
[tex]C=\frac{\epsilon_0A}{d}[/tex]Here, A is the area of the electrode.
The electric permeability in free space is
[tex]\epsilon_0=8.85\times10^{-12}\text{ F/m}[/tex]On substituting the values, the capacitance will be
[tex]\begin{gathered} C=\frac{8.85\times10^{-12}\times2.7\times2.7\times10^{-4}}{0.4\times10^{-3}} \\ =16.13\text{ }\times10^{-12}\text{ F} \\ =16.13\text{ pF} \end{gathered}[/tex]Final Answer: The capacitance is 16.13 pF.
