A flat, circular transmitter coil is connected in series with an AC signal generator, an AC ammeter, and a variable resistor. A much smaller circular search coil is positioned coaxially at the center of the transmitter coil, as shown in the experimental setup below.
It is suggested that the relationship between the peak electromotive force (emf) V0V_0V0 induced in the search coil and the frequency fff of the alternating current in the transmitter coil is given by the expression:
V0=afbV_0 = a f^bV0=afb
where aaa and bbb are constants.
Describe how an experiment can be conducted to test the validity of this expression and how the data collected can be analysed to determine the values of aaa and bbb.
In your description, you should specify:
- A schematic diagram of the experimental setup to vary and measure the frequency and to determine the induced emf.
- The measurements to be taken.
- The control variables and precautions needed to ensure reliable results.
- How the data is analysed using a graph to find aaa and bbb.
