Physics 9702/51 — May/June 2022

Two parallel metal plates, each of area $A$, are separated by a small distance $d$, as shown in Fig. 1.1.

The plates are initially charged using a power supply.

The plates are then connected to an uncharged capacitor. The potential difference $V$ across the capacitor is measured.

It is suggested that $V$ is related to $d$ by the relationship

$$\frac{W}{V} = 1 + \frac{Cd}{KA}$$

where $C$ is the capacitance of the capacitor, and $K$ and $W$ are constants.

Plan a laboratory experiment to test the relationship between $V$ and $d$.

Draw a diagram showing the arrangement of your equipment.

Explain how the results could be used to determine values for $K$ and $W$.

In your plan you should include:
● the procedure to be followed
● the measurements to be taken
● the control of variables
● the analysis of the data
● any safety precautions to be taken.