Physics 9702/53 — October/November 2023

Two coils, C and D, are placed with their axes on a straight line, as shown in Fig. 1.1.

A resistor of resistance $R$ is connected in series with coil C.

A changing magnetic flux of frequency $f$ in coil C causes an electromotive force (e.m.f.) $E$ to be induced across the terminals of coil D.

It is suggested that $E$ is related to $f$ by the relationship

$$E = \frac{pf^qV}{R}$$

where $V$ is the potential difference across the resistor and coil C, and $p$ and $q$ are constants.

Plan a laboratory experiment to test the relationship between $E$ and $f$.

Draw a diagram showing the arrangement of your equipment.

Explain how the results could be used to determine values for $p$ 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.