Magnetic Flux Linkage (AQA A-Level Physics): Revision Notes
📚Revision Notes
Magnetic Flux Linkage
Equipment
- Oscilloscope: To measure the peak-to-peak voltage of the induced emf.
- Large circular coil: Produces a uniform magnetic field.
- Stands: To hold the circular coil and search coil in position.
- Hz AC supply: Powers the large coil to create an alternating magnetic field.
- Protractor card: For accurately measuring angles.
- Search coil: Detects changes in magnetic flux linkage.
Note
Method
- Set Up the Coils:
- Mount the large circular coil vertically on a stand. Position the search coil at the centre of the circular coil, initially parallel to it. Place the protractor card beneath the coils to measure the angle accurately.
- Connect the circular coil to the AC supply and the search coil to the oscilloscope as shown in the diagram.
- Initial Measurement:
- Turn on the AC supply. Adjust the oscilloscope's voltage sensitivity and time base settings for clear readings. Record the peak-to-peak voltage of the induced AC voltage in the search coil.
- Vary the Angle:
- Tilt the search coil to change the angle between its plane and that of the circular coil. Increase by increments, up to a maximum of , using the protractor to measure each angle.
- For each angle, record the peak-to-peak voltage displayed on the oscilloscope.
- Repeat for Accuracy:
- Repeat the experiment twice more to obtain average emf values at each angle.
Graphs and Calculations
- Calculate :
- For each angle , calculate and tabulate these values alongside the corresponding emf readings.
- Graph of emf vs. :
- Plot a graph of induced emf (y-axis) against (x-axis). Draw a line of best fit.
- The graph should yield a straight line through the origin, demonstrating that the emf in the search coil is proportional to .
- Relationship Verification:
- The emf in the search coil is given by:
- This relationship confirms that the induced emf depends on the cosine of the angle between the magnetic field and the plane of the search coil.
Note
Safety
- Minimal Risks: This practical has minimal safety concerns, but ensure the setup is stable to avoid accidental movement of the coils.
Improvements and Notes
- Reduce Parallax Error:
- To accurately read the angle, view the protractor from directly above. Alternatively, use a set square to align the search coil accurately with the protractor.
- Alternative Equipment:
- A data logger with a magnetic field sensor could be used to automatically record the emf, minimising human error.
Note
Key Concepts
- Magnetic Flux Linkage: The emf induced in the search coil depends on the rate of change of magnetic flux linkage, which varies with .
- Relationship to Angle: This experiment verifies that the emf is maximised when the coil is parallel to the magnetic field (i.e., ) and decreases as the angle increases, reaching zero when the coil is perpendicular to the field ( ).
- Application of Faraday's Law: This practical demonstrates how changing magnetic fields induce emf in a coil, as described by Faraday's Law of Induction.