Magnetic Flux Density
Physics: AQA A Level, topic 7.5.9
Magnetic Force on a Wire Experiment
We can investigate how the force on a wire varies with flux density, current and length of wire in the magnetic field, by using a top pan balance.

Apparatus
- Set up the apparatus as shown in the diagram.
- For this investigation, aim to make the angle of the wire with the field as close as possible to 90°.
- Caution: the current should not exceed 4A (as the variable resistor is likely to smoke).

Variables to investigate
- Using the arrangement on the previous slide, we can investigate the magnitude of the force as a function of:
- Flux density of the magnetic field
- Current in the wire
- Length of wire in the field
- Angle between wire and field lines

Formula
- The formula for the magnetic force is:
- Where F is the force, B is the magnetic flux density, L is the length of wire in the field and θ is the angle between the field lines and the wire.
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Example analysis
- An example of the analysis possible:
- Plot a graph of force against current.
- The line of best fit should be a straight line that passes through the origin.
- By comparison with “y = mx + c”, the gradient of the line should be equal to BLsinθ.
Test yourself on Magnetic Flux Density
What is the correct formula for the magnetic force on a wire?
Magnetic Force on a Wire Experiment
Why should current not exceed 4A?