Physics 9702/52 — 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 $z$.

The sheet is displaced from its equilibrium position and then released so that it oscillates perpendicular to the direction of the magnetic field. The time $t$ from when the sheet is released to when it becomes stationary is measured.

It is suggested that $t$ is related to $z$ by the relationship

$$t = \frac{Kz^q}{AB\rho}$$

where $B$ is the magnetic flux density of the field, $\rho$ is the density of copper, and $K$ and $q$ are constants.

Plan a laboratory experiment to test the relationship between $t$ and $z$.

Draw a diagram showing the arrangement of your equipment.

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

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.