Physics 9702/53 — October/November 2022

A thin copper sheet is suspended from a small hole near the top of the sheet and placed in a magnetic field, as shown in Fig. 1.1.

The sheet has area $A$ and thickness $t$.

The sheet is displaced from its equilibrium position through a horizontal distance $s_0$ and then released so that it oscillates perpendicular to the direction of the magnetic field. The horizontal distance $s$ of the sheet from its equilibrium position is measured after five complete oscillations.

It is suggested that $s$ is related to $A$ by the relationship

$$s = s_0 e^{-ABKt}$$

where $B$ is the magnetic flux density of the field and $K$ is a constant.

Plan a laboratory experiment to test the relationship between $s$ and $A$.

Draw a diagram showing the arrangement of your equipment.

Explain how the results could be used to determine a value for $K$.

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.