Question

Two 2.7 cm x 2.7 cm square aluminum electrodes, spaced 0.4 mm apart are connected to a 81.45 V battery. What is the capacitance in pico Farads?

Answer 1

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.

Step-by-step explanation:

The capacitance can be calculated by the formula

`C=(\epsilon_0A)/(d)`

Here, A is the area of the electrode.

The electric permeability in free space is

`\epsilon_0=8.85*10^(-12)\text{ F/m}`

On substituting the values, the capacitance will be

`\begin{gathered} C=(8.85*10^(-12)*2.7*2.7*10^(-4))/(0.4*10^(-3)) \\ =16.13\text{ }*10^(-12)\text{ F} \\ =16.13\text{ pF} \end{gathered}`

Final Answer: The capacitance is 16.13 pF.