9702/5/SP/22: A circular coil P carrying an alternating current produces a changing magnetic field. When a second similar coil Q is placed with its centre a distance x from the centre of coil P, as shown in Fig. 1.1, an electromotive force (e.m.f.) E is induced in coil Q.
It is suggested that E is related to x by the relationship \(E = IZe^{–kx}\) where I is the current in coil P, and k and Z are constants.
Plan a laboratory experiment to test the relationship between E and x.
Draw a diagram showing the arrangement of your equipment.
Explain how the results could be used to determine values for k and Z.