Source: https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/7-5-4-magnetic-flux-and-flux-linkage

[Revision notes](https://senecalearning.com/en-gb/revision-notes.md) › [A Level](https://senecalearning.com/en-gb/revision-notes/a-level.md) › [Physics](https://senecalearning.com/en-gb/revision-notes/a-level/physics.md) › [AQA](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa.md) › Magnetic Flux & Flux Linkage

# Magnetic Flux & Flux Linkage

Physics: AQA A Level, topic 7.5.4

## Magnetic Flux Definitions

Three terms that are closely related but different are magnetic flux, magnetic flux density and magnetic flux linkage.

### Definitions

![Definitions](https://image-v2.cdn.app.senecalearning.com/courseImages/physics/4.6.4.2%20-%20Magnetic%20field%20around%20a%20solenoid-min.jpg)

- Magnetic flux is a measure of the number of field lines passing through a region of space.
- Magnetic flux density is a measure of the number of field lines passing through a region of space per unit cross-sectional area.
- Magnetic flux linkage is the product of the magnetic flux and the number of turns on a coil through which the field passes.

### Different flux density

![Different flux density](https://image-v2.cdn.app.senecalearning.com/2018-10/f7154eae-a46e-41aa-965f-5e15e310c911/different-flux-linkage-loops.png)

- The two loops in the diagram have the same flux but different flux densities since area Y is larger than area X.

### Different flux

![Different flux](https://image-v2.cdn.app.senecalearning.com/2018-10/f7154eae-a46e-41aa-965f-5e15e310c911/different-flux-linkage-loops.png)

- The two loops in the diagram have the same flux density but different flux since area Y is larger than area X.

### Different flux linkage

![Different flux linkage](https://image-v2.cdn.app.senecalearning.com/2018-10/758d80a1-d2c6-4bfb-83a9-652a82663984/different-flux-linkage-loops%20(1).png)

- The two loops in the diagram have the same flux and flux density, but as loop Y has twice the number of turns as loop X, the flux linkage in Y is twice that of loop X.

## Magnetic Flux and Flux Linkage

The formulae for magnetic flux and magnetic flux linkage are:

### Magnetic flux, Φ

![Magnetic flux, Φ](https://image-v2.cdn.app.senecalearning.com/courseImages/physics/4.4.2%20Transformers/magnetic-field-min-min.jpg)

- The magnetic flux is the amount of magnetic field passing through a surface.
- The equation for magnetic flux is:
 - $$\Phi = BA \cos \theta = B_\perp A$$
    - Where $$\phi$$ is the flux, B is the field strength, A is the area and theta is the angle between the normal of the surface and the field.

### Magnetic flux linkage, nΦ

![Magnetic flux linkage, nΦ](https://image-v2.cdn.app.senecalearning.com/courseImages/physics/1.4.1%20-%20Effects%20of%20forces/sping-min.jpg)

- The magnetic flux linkage is the amount of field passing through a coil of wire. It is the flux 'linked' to a wire. 
- The equation for the flux linkage is:
 - $$N \Phi = BAN \cos \theta$$
    - Where N is the number of coils in the wire.

## Magnetic Flux Linkage Experiment

This experiment investigates how magnetic flux linkage varies with the angle between a search coil and the magnetic field direction. This is done using a search coil and an oscilloscope.

### Apparatus

![Apparatus](https://image-v2.cdn.app.senecalearning.com/2018-10/6e844aee-3f0c-4982-93fd-27afd8375bd0/search-coil-experiment.png)

- Set up the apparatus as shown in the diagram.
- The search coil will experience a flux linkage as determined by the formula: 
 - $$N \Phi = BAN \cos \theta$$.

### Underlying theory

![Underlying theory](https://image-v2.cdn.app.senecalearning.com/courseImages/physics/4.6.4.2%20-%20Magnetic%20field%20around%20a%20solenoid-min.jpg)

- The magnetic field inside the coil will be uniform and running parallel to the length of the spring (across the page horizontally in the diagram).
- As the current is a.c., there will be a varying magnetic flux density through the search coil, and hence a varying flux linkage.

### Underlying theory 2

![Underlying theory 2](https://image-v2.cdn.app.senecalearning.com/courseImages/physics/3.4.3%20-%20Oscilloscope%20traces%20for%20sound%20volume%20and%20pitch-min.png)

- This will induce an EMF in the search coil which is detected by the oscilloscope.
- The time base (time axis) of the oscilloscope is turned off, so that the a.c. induced gives a vertical line on the screen. The amplitude of this line (from the peak to the middle) gives the magnitude of the induced EMF.

### Method

![Method](https://image-v2.cdn.app.senecalearning.com/2018-10/6e844aee-3f0c-4982-93fd-27afd8375bd0/search-coil-experiment.png)

- The search coil can now be rotated so that the angle between the plane of the coil and the magnetic field lines changes.
- By recording the amplitude of the induced EMF every 10 degrees, a graph of EMF induced against angle can be plotted, showing the relationship between the flux linkage and the angle between the normal to the plane of the coil and the magnetic field lines.

## Test yourself on Magnetic Flux & Flux Linkage

- Which of these factors will increase the magnetic flux linkage?
- Two systems have the same flux and flux density. System X has a flux linkage of 2 Wb-t. System Y has half the coils of system X, what is its flux linkage?
- What is the formula for magnetic flux?
- What is the correct equation for the magnetic flux linkage?
- At what angle will the induced EMF be at a maximum?

[Practise this topic for free](https://app.senecalearning.com/classroom/course/890da800-6a58-11e8-973c-cb81832c8407/section/6cf4d9ae-7142-495c-9fad-e483515916e1/session)

- Previous topic: [7.5.3 Moving Charges in a Magnetic Field](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/7-5-3-moving-charges-in-a-magnetic-field.md)
- Next topic: [7.5.5 Electromagnetic Induction](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/7-5-5-electromagnetic-induction.md)

## Physics: AQA A Level contents

### 1 Measurements & Errors
- 1.1 Measurements & Errors
  - [1.1.1 SI Base Units](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/1-1-1-si-base-units.md)
  - [1.1.2 Combining SI Units](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/1-1-2-combining-si-units.md)
  - [1.1.3 Prefixes of Units](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/1-1-3-prefixes-of-units.md)
  - [1.1.4 Standard Form](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/1-1-4-standard-form.md)
  - [1.1.5 Converting Units](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/1-1-5-converting-units.md)
  - [1.1.6 End of Topic Test - Units & Prefixes](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/1-1-6-end-of-topic-test-units-and-prefixes.md)
  - [1.1.7 Limitation of Physical Measurements](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/1-1-7-limitation-of-physical-measurements.md)
  - [1.1.8 Uncertainty](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/1-1-8-uncertainty.md)
  - [1.1.9 Estimation](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/1-1-9-estimation.md)
  - [1.1.10 End of Topic Test - Measurements & Errors](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/1-1-10-end-of-topic-test-measurements-and-errors.md)
  - [1.1.11 Diagnostic Misconceptions - Converting between SI](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/1-1-11-diagnostic-misconceptions-converting-between-si.md)
  - [1.1.12 Diagnostic Misconceptions - SI & Area/Volume](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/1-1-12-diagnostic-misconceptions-si-and-areavolume.md)

### 2 Particles & Radiation
- 2.1 Particles
  - [2.1.1 Atomic Model](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/2-1-1-atomic-model.md)
  - [2.1.2 Specific Charge, Protons & Neutron Numbers](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/2-1-2-specific-charge-protons-and-neutron-numbers.md)
  - [2.1.3 End of Topic Test - Atomic Model](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/2-1-3-end-of-topic-test-atomic-model.md)
  - [2.1.4 Isotopes](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/2-1-4-isotopes.md)
  - [2.1.5 Stable & Unstable Nuclei](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/2-1-5-stable-and-unstable-nuclei.md)
  - [2.1.6 End of Topic Test - Isotopes & Nuclei](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/2-1-6-end-of-topic-test-isotopes-and-nuclei.md)
  - [2.1.7 A-A* (AO3/4) - Stable & Unstable Nuclei](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/2-1-7-a-a-ao34-stable-and-unstable-nuclei.md)
  - [2.1.8 Particles, Antiparticles & Photons](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/2-1-8-particles-antiparticles-and-photons.md)
  - [2.1.9 Particle Interactions](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/2-1-9-particle-interactions.md)
  - [2.1.10 Classification of Particles](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/2-1-10-classification-of-particles.md)
  - [2.1.11 End of Topic Test - Particles & Interactions](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/2-1-11-end-of-topic-test-particles-and-interactions.md)
  - [2.1.12 Quarks & Antiquarks](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/2-1-12-quarks-and-antiquarks.md)
  - [2.1.13 Application of Conservation Laws](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/2-1-13-application-of-conservation-laws.md)
  - [2.1.14 End of Topic Test - Leptons & Quarks](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/2-1-14-end-of-topic-test-leptons-and-quarks.md)
  - [2.1.15 Exam-Style Question -  Radioactive Decay](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/2-1-15-exam-style-question-radioactive-decay.md)
- 2.2 Electromagnetic Radiation & Quantum Phenomena
  - [2.2.1 The Photoelectric Effect](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/2-2-1-the-photoelectric-effect.md)
  - [2.2.2 The Photoelectric Effect Explanation](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/2-2-2-the-photoelectric-effect-explanation.md)
  - [2.2.3 End of Topic Test - The Photoelectric Effect](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/2-2-3-end-of-topic-test-the-photoelectric-effect.md)
  - [2.2.4 Collisions of Electrons with Atoms](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/2-2-4-collisions-of-electrons-with-atoms.md)
  - [2.2.5 Energy Levels & Photon Emission](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/2-2-5-energy-levels-and-photon-emission.md)
  - [2.2.6 Wave-Particle Duality](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/2-2-6-wave-particle-duality.md)
  - [2.2.7 End of Topic Test - Absorption & Emission](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/2-2-7-end-of-topic-test-absorption-and-emission.md)
  - [2.2.8 Diagnostic Misconceptions - Electron Volts](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/2-2-8-diagnostic-misconceptions-electron-volts.md)
  - [2.2.9 Diagnostic Misconceptions - Converting eV & Joules](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/2-2-9-diagnostic-misconceptions-converting-ev-and-joules.md)

### 3 Waves
- 3.1 Progressive & Stationary Waves
  - [3.1.1 Progressive Waves](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/3-1-1-progressive-waves.md)
  - [3.1.2 Wave Speed & Phase Difference](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/3-1-2-wave-speed-and-phase-difference.md)
  - [3.1.3 Longitudinal & Transverse Waves](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/3-1-3-longitudinal-and-transverse-waves.md)
  - [3.1.4 End of Topic Test - Progressive Waves](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/3-1-4-end-of-topic-test-progressive-waves.md)
  - [3.1.5 Polarisation](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/3-1-5-polarisation.md)
  - [3.1.6 Stationary Waves](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/3-1-6-stationary-waves.md)
  - [3.1.7 Stationary Waves 2](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/3-1-7-stationary-waves-2.md)
  - [3.1.8 End of Topic Test - Polarisation & Stationary Wave](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/3-1-8-end-of-topic-test-polarisation-and-stationary-wave.md)
  - [3.1.9 A-A* (AO3/4) - Stationary Waves](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/3-1-9-a-a-ao34-stationary-waves.md)
- 3.2 Refraction, Diffraction & Interference
  - [3.2.1 Interference](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/3-2-1-interference.md)
  - [3.2.2 Interference 2](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/3-2-2-interference-2.md)
  - [3.2.3 End of Topic Test - Interference](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/3-2-3-end-of-topic-test-interference.md)
  - [3.2.4 Diffraction](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/3-2-4-diffraction.md)
  - [3.2.5 Diffraction Gratings](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/3-2-5-diffraction-gratings.md)
  - [3.2.6 End of Topic Test - Diffraction](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/3-2-6-end-of-topic-test-diffraction.md)
  - [3.2.7 Refraction at a Plane Surface](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/3-2-7-refraction-at-a-plane-surface.md)
  - [3.2.8 Internal Reflection & Fibre Optics](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/3-2-8-internal-reflection-and-fibre-optics.md)
  - [3.2.9 End of Topic Test - Refraction](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/3-2-9-end-of-topic-test-refraction.md)
  - [3.2.10 Exam-Style Question - Waves](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/3-2-10-exam-style-question-waves.md)

### 4 Mechanics & Materials
- 4.1 Force, Energy & Momentum
  - [4.1.1 Scalars & Vectors](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/4-1-1-scalars-and-vectors.md)
  - [4.1.2 Vector Problems](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/4-1-2-vector-problems.md)
  - [4.1.3 End of Topic Test - Scalars & Vectors](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/4-1-3-end-of-topic-test-scalars-and-vectors.md)
  - [4.1.4 Moments](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/4-1-4-moments.md)
  - [4.1.5 Centre of Mass](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/4-1-5-centre-of-mass.md)
  - [4.1.6 End of Topic Test - Moments & Centre of Mass](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/4-1-6-end-of-topic-test-moments-and-centre-of-mass.md)
  - [4.1.7 Motion in a Straight Line](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/4-1-7-motion-in-a-straight-line.md)
  - [4.1.8 Graphs of Motion](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/4-1-8-graphs-of-motion.md)
  - [4.1.9 Bouncing Ball Example](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/4-1-9-bouncing-ball-example.md)
  - [4.1.10 End of Topic Test - Motion in a Straight Line](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/4-1-10-end-of-topic-test-motion-in-a-straight-line.md)
  - [4.1.11 Acceleration Due to Gravity](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/4-1-11-acceleration-due-to-gravity.md)
  - [4.1.12 Projectile Motion](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/4-1-12-projectile-motion.md)
  - [4.1.13 Friction](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/4-1-13-friction.md)
  - [4.1.14 Terminal Speed](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/4-1-14-terminal-speed.md)
  - [4.1.15 End of Topic Test - Acceleration Due to Gravity](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/4-1-15-end-of-topic-test-acceleration-due-to-gravity.md)
  - [4.1.16 Newton's Laws](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/4-1-16-newtons-laws.md)
  - [4.1.17 Momentum](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/4-1-17-momentum.md)
  - [4.1.18 Momentum 2](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/4-1-18-momentum-2.md)
  - [4.1.19 End of Topic Test - Newton's Laws & Momentum](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/4-1-19-end-of-topic-test-newtons-laws-and-momentum.md)
  - [4.1.20 A-A* (AO3/4) - Newton's Third Law](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/4-1-20-a-a-ao34-newtons-third-law.md)
  - [4.1.21 Work & Energy](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/4-1-21-work-and-energy.md)
  - [4.1.22 Power & Efficiency](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/4-1-22-power-and-efficiency.md)
  - [4.1.23 Conservation of Energy](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/4-1-23-conservation-of-energy.md)
  - [4.1.24 End of Topic Test - Work, Energy & Power](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/4-1-24-end-of-topic-test-work-energy-and-power.md)
  - [4.1.25 Exam-Style Question - Forces](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/4-1-25-exam-style-question-forces.md)
  - [4.1.26 Diagnostic Misconceptions - Perpendicular Vectors](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/4-1-26-diagnostic-misconceptions-perpendicular-vectors.md)
  - [4.1.27 Diagnostic Misconceptions - Weight Acts Downwards](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/4-1-27-diagnostic-misconceptions-weight-acts-downwards.md)
  - [4.1.28 Diagnostic Misconceptions - Acceleration Direction](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/4-1-28-diagnostic-misconceptions-acceleration-direction.md)
  - [4.1.29 Diagnostic Misconceptions - Stationary Objects](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/4-1-29-diagnostic-misconceptions-stationary-objects.md)
  - [4.1.30 Diagnostic Misconceptions - Action & Reaction](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/4-1-30-diagnostic-misconceptions-action-and-reaction.md)
  - [4.1.31 Diagnostic Misconceptions - RF Direction](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/4-1-31-diagnostic-misconceptions-rf-direction.md)
  - [4.1.32 Diagnostic Misconceptions - RF Acceleration](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/4-1-32-diagnostic-misconceptions-rf-acceleration.md)
  - [4.1.33 Diagnostic Misconceptions - Change in Momentum](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/4-1-33-diagnostic-misconceptions-change-in-momentum.md)
- 4.2 Materials
  - [4.2.1 Density](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/4-2-1-density.md)
  - [4.2.2 Bulk Properties of Solids](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/4-2-2-bulk-properties-of-solids.md)
  - [4.2.3 Energy in Materials](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/4-2-3-energy-in-materials.md)
  - [4.2.4 Young Modulus](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/4-2-4-young-modulus.md)
  - [4.2.5 End of Topic Test - Materials](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/4-2-5-end-of-topic-test-materials.md)

### 5 Electricity
- 5.1 Current Electricity
  - [5.1.1 Basics of Electricity](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/5-1-1-basics-of-electricity.md)
  - [5.1.2 Current-Voltage Characteristics](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/5-1-2-current-voltage-characteristics.md)
  - [5.1.3 End of Topic Test - Basics of Electricity](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/5-1-3-end-of-topic-test-basics-of-electricity.md)
  - [5.1.4 Resistivity](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/5-1-4-resistivity.md)
  - [5.1.5 Superconductivity](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/5-1-5-superconductivity.md)
  - [5.1.6 A-A* (AO3/4) - Superconductivity](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/5-1-6-a-a-ao34-superconductivity.md)
  - [5.1.7 End of Topic Test - Resistivity & Superconductors](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/5-1-7-end-of-topic-test-resistivity-and-superconductors.md)
  - [5.1.8 Circuits](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/5-1-8-circuits.md)
  - [5.1.9 Power and Conservation](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/5-1-9-power-and-conservation.md)
  - [5.1.10 Potential Divider](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/5-1-10-potential-divider.md)
  - [5.1.11 Emf & Internal Resistance](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/5-1-11-emf-and-internal-resistance.md)
  - [5.1.12 End of Topic Test - Power & Potential](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/5-1-12-end-of-topic-test-power-and-potential.md)
  - [5.1.13 Exam-Style Question - Resistance](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/5-1-13-exam-style-question-resistance.md)
  - [5.1.14 Diagnostic Misconceptions - Constant Current](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/5-1-14-diagnostic-misconceptions-constant-current.md)
  - [5.1.15 Diagnostic Misconceptions - Potential Difference](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/5-1-15-diagnostic-misconceptions-potential-difference.md)

### 6 Further Mechanics & Thermal Physics (A2 only)
- 6.1 Periodic Motion (A2 only)
  - [6.1.1 Circular Motion](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/6-1-1-circular-motion.md)
  - [6.1.2 Circular Motion 2](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/6-1-2-circular-motion-2.md)
  - [6.1.3 End of Topic Test - Circular Motion](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/6-1-3-end-of-topic-test-circular-motion.md)
  - [6.1.4 Simple Harmonic Motion](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/6-1-4-simple-harmonic-motion.md)
  - [6.1.5 Simple Harmonic Systems](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/6-1-5-simple-harmonic-systems.md)
  - [6.1.6 Energy in Simple Harmonic Motion](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/6-1-6-energy-in-simple-harmonic-motion.md)
  - [6.1.7 Resonance](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/6-1-7-resonance.md)
  - [6.1.8 End of Topic Test - Simple Harmonic Motion](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/6-1-8-end-of-topic-test-simple-harmonic-motion.md)
  - [6.1.9 A-A* (AO3/4) - Simple Harmonic Motion](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/6-1-9-a-a-ao34-simple-harmonic-motion.md)
- 6.2 Thermal Physics (A2 only)
  - [6.2.1 Thermal Energy Transfer](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/6-2-1-thermal-energy-transfer.md)
  - [6.2.2 Thermal Energy Transfer Experiments](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/6-2-2-thermal-energy-transfer-experiments.md)
  - [6.2.3 Ideal Gases](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/6-2-3-ideal-gases.md)
  - [6.2.4 Ideal Gases 2](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/6-2-4-ideal-gases-2.md)
  - [6.2.5 Boyle's Law & Charles' Law](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/6-2-5-boyles-law-and-charles-law.md)
  - [6.2.6 Molecular Kinetic Theory Model](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/6-2-6-molecular-kinetic-theory-model.md)
  - [6.2.7 Molecular Kinetic Theory Model 2](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/6-2-7-molecular-kinetic-theory-model-2.md)
  - [6.2.8 End of Topic Test - Thermal Energy & Ideal Gases](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/6-2-8-end-of-topic-test-thermal-energy-and-ideal-gases.md)
  - [6.2.9 Exam-Style Question - Ideal Gases](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/6-2-9-exam-style-question-ideal-gases.md)
  - [6.2.10 Diagnostic Misconceptions - Material & Mass](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/6-2-10-diagnostic-misconceptions-material-and-mass.md)
  - [6.2.11 Diagnostic Misconceptions - No Energy](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/6-2-11-diagnostic-misconceptions-no-energy.md)

### 7 Fields & Their Consequences (A2 only)
- 7.1 Fields (A2 only)
  - [7.1.1 Fields](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/7-1-1-fields.md)
- 7.2 Gravitational Fields (A2 only)
  - [7.2.1 Newton's Law](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/7-2-1-newtons-law.md)
  - [7.2.2 Gravitational Field Strength](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/7-2-2-gravitational-field-strength.md)
  - [7.2.3 Gravitational Potential](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/7-2-3-gravitational-potential.md)
  - [7.2.4 Orbits of Planets & Satellites](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/7-2-4-orbits-of-planets-and-satellites.md)
  - [7.2.5 Escape Velocity & Synchronous Orbits](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/7-2-5-escape-velocity-and-synchronous-orbits.md)
  - [7.2.6 End of Topic Test - Gravitational Fields](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/7-2-6-end-of-topic-test-gravitational-fields.md)
- 7.3 Electric Fields (A2 only)
  - [7.3.1 Coulomb's Law](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/7-3-1-coulombs-law.md)
  - [7.3.2 Electric Field Strength](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/7-3-2-electric-field-strength.md)
  - [7.3.3 Electric Field Strength 2](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/7-3-3-electric-field-strength-2.md)
  - [7.3.4 Electric Potential](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/7-3-4-electric-potential.md)
  - [7.3.5 End of Topic Test - Electric Fields](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/7-3-5-end-of-topic-test-electric-fields.md)
  - [7.3.6 A-A* (AO3/4) - Electric and Gravitational Field](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/7-3-6-a-a-ao34-electric-and-gravitational-field.md)
- 7.4 Capacitance (A2 only)
  - [7.4.1 Capacitance](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/7-4-1-capacitance.md)
  - [7.4.2 Parallel Plate Capacitor](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/7-4-2-parallel-plate-capacitor.md)
  - [7.4.3 Energy Stored by a Capacitor](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/7-4-3-energy-stored-by-a-capacitor.md)
  - [7.4.4 Capacitor Discharge](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/7-4-4-capacitor-discharge.md)
  - [7.4.5 Capacitor Charge](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/7-4-5-capacitor-charge.md)
- 7.5 Magnetic Fields (A2 only)
  - [7.5.1 Magnetic Flux Density](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/7-5-1-magnetic-flux-density.md)
  - [7.5.2 End of Topic Test - Capacitance & Flux Density](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/7-5-2-end-of-topic-test-capacitance-and-flux-density.md)
  - [7.5.3 Moving Charges in a Magnetic Field](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/7-5-3-moving-charges-in-a-magnetic-field.md)
  - [7.5.4 Magnetic Flux & Flux Linkage](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/7-5-4-magnetic-flux-and-flux-linkage.md)
  - [7.5.5 Electromagnetic Induction](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/7-5-5-electromagnetic-induction.md)
  - [7.5.6 Electromagnetic Induction 2](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/7-5-6-electromagnetic-induction-2.md)
  - [7.5.7 Alternating Currents](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/7-5-7-alternating-currents.md)
  - [7.5.8 Operation of a Transformer](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/7-5-8-operation-of-a-transformer.md)
  - [7.5.9 Magnetic Flux Density](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/7-5-9-magnetic-flux-density.md)
  - [7.5.10 End of Topic Test - Electromagnetic Induction](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/7-5-10-end-of-topic-test-electromagnetic-induction.md)

### 8 Nuclear Physics (A2 only)
- 8.1 Radioactivity (A2 only)
  - [8.1.1 Rutherford Scattering](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/8-1-1-rutherford-scattering.md)
  - [8.1.2 Alpha & Beta Radiation](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/8-1-2-alpha-and-beta-radiation.md)
  - [8.1.3 Gamma Radiation](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/8-1-3-gamma-radiation.md)
  - [8.1.4 Radioactive Decay](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/8-1-4-radioactive-decay.md)
  - [8.1.5 Half Life](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/8-1-5-half-life.md)
  - [8.1.6 End of Topic Test - Radioactivity](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/8-1-6-end-of-topic-test-radioactivity.md)
  - [8.1.7 Nuclear Instability](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/8-1-7-nuclear-instability.md)
  - [8.1.8 Nuclear Radius](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/8-1-8-nuclear-radius.md)
  - [8.1.9 Mass & Energy](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/8-1-9-mass-and-energy.md)
  - [8.1.10 Binding Energy](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/8-1-10-binding-energy.md)
  - [8.1.11 Induced Fission](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/8-1-11-induced-fission.md)
  - [8.1.12 Safety Aspects of Nuclear Reactors](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/8-1-12-safety-aspects-of-nuclear-reactors.md)
  - [8.1.13 End of Topic Test - Nuclear Physics](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/8-1-13-end-of-topic-test-nuclear-physics.md)
  - [8.1.14 A-A* (AO3/4) - Nuclear Fusion](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/8-1-14-a-a-ao34-nuclear-fusion.md)

### 9 Option: Astrophysics (A2 only)
- 9.1 Telescopes (A2 only)
  - [9.1.1 Astronomical Telescopes](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/9-1-1-astronomical-telescopes.md)
  - [9.1.2 Reflecting Telescopes](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/9-1-2-reflecting-telescopes.md)
  - [9.1.3 Single Dish Radio Telescopes](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/9-1-3-single-dish-radio-telescopes.md)
  - [9.1.4 Large Diameter Telescopes](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/9-1-4-large-diameter-telescopes.md)
- 9.2 Classification of Stars (A2 only)
  - [9.2.1 Classification by Luminosity](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/9-2-1-classification-by-luminosity.md)
  - [9.2.2 Absolute Magnitude](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/9-2-2-absolute-magnitude.md)
  - [9.2.3 Black Body Radiation](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/9-2-3-black-body-radiation.md)
  - [9.2.4 Stellar Spectral Classes](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/9-2-4-stellar-spectral-classes.md)
  - [9.2.5 Hertzsprung-Russell Diagrams](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/9-2-5-hertzsprung-russell-diagrams.md)
  - [9.2.6 Astronomical Objects](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/9-2-6-astronomical-objects.md)
- 9.3 Cosmology (A2 only)
  - [9.3.1 Doppler Effect](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/9-3-1-doppler-effect.md)
  - [9.3.2 Hubble's Law](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/9-3-2-hubbles-law.md)
  - [9.3.3 Quasars](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/9-3-3-quasars.md)
  - [9.3.4 Detecting Exoplanets](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/9-3-4-detecting-exoplanets.md)

### 10 Option: Medical Physics (A2 only)
- 10.1 Physics of the Eye (A2 only)
  - [10.1.1 Physics of Vision](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/10-1-1-physics-of-vision.md)
  - [10.1.2 Defects of Vision](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/10-1-2-defects-of-vision.md)
  - [10.1.3 Lenses](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/10-1-3-lenses.md)
  - [10.1.4 Correcting Defects of Vision](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/10-1-4-correcting-defects-of-vision.md)
- 10.2 Physics of the Ear (A2 only)
  - [10.2.1 Structure of the Ear](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/10-2-1-structure-of-the-ear.md)
  - [10.2.2 Sensitivity of the Ear](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/10-2-2-sensitivity-of-the-ear.md)
  - [10.2.3 Hearing Defects](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/10-2-3-hearing-defects.md)
- 10.3 Biological Measurement (A2 only)
  - [10.3.1 Electrocardiography (ECG)](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/10-3-1-electrocardiography-ecg.md)
- 10.4 Non-Ionising Imaging (A2 only)
  - [10.4.1 Ultrasound Imaging](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/10-4-1-ultrasound-imaging.md)
  - [10.4.2 Ultrasound Imaging 2](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/10-4-2-ultrasound-imaging-2.md)
  - [10.4.3 Fibre Optics & Endoscopy](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/10-4-3-fibre-optics-and-endoscopy.md)
  - [10.4.4 Magnetic Resonance Scanning](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/10-4-4-magnetic-resonance-scanning.md)
- 10.5 X-Ray Imaging (A2 only)
  - [10.5.1 Diagnostic X-Rays](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/10-5-1-diagnostic-x-rays.md)
  - [10.5.2 X-Ray Image Processing](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/10-5-2-x-ray-image-processing.md)
  - [10.5.3 Absorption of X-Rays](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/10-5-3-absorption-of-x-rays.md)
  - [10.5.4 CT Scanners](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/10-5-4-ct-scanners.md)
- 10.6 Radionuclide Imaging & Therapy (A2 only)
  - [10.6.1 Imaging Techniques](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/10-6-1-imaging-techniques.md)
  - [10.6.2 Half Life](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/10-6-2-half-life.md)
  - [10.6.3 Gamma Camera](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/10-6-3-gamma-camera.md)
  - [10.6.4 High Energy X-Rays](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/10-6-4-high-energy-x-rays.md)
  - [10.6.5 Radioactive Implants](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/10-6-5-radioactive-implants.md)
  - [10.6.6 Imaging Comparisons](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/10-6-6-imaging-comparisons.md)

### 11 Option: Engineering Physics (A2 only)
- 11.1 Rotational Dynamics (A2 only)
  - [11.1.1 Moment of Inertia](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/11-1-1-moment-of-inertia.md)
  - [11.1.2 Rotational Kinetic Energy](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/11-1-2-rotational-kinetic-energy.md)
  - [11.1.3 Rotational Motion](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/11-1-3-rotational-motion.md)
  - [11.1.4 Torque & Angular Acceleration](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/11-1-4-torque-and-angular-acceleration.md)
  - [11.1.5 Angular Momentum](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/11-1-5-angular-momentum.md)
  - [11.1.6 Angular Work & Power](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/11-1-6-angular-work-and-power.md)
- 11.2 Thermodynamics & Engines (A2 only)
  - [11.2.1 First Law of Thermodynamics](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/11-2-1-first-law-of-thermodynamics.md)
  - [11.2.2 Non-Flow Processes](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/11-2-2-non-flow-processes.md)
  - [11.2.3 p-V Diagrams](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/11-2-3-p-v-diagrams.md)
  - [11.2.4 Engine Cycles](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/11-2-4-engine-cycles.md)
  - [11.2.5 Second Law & Engines](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/11-2-5-second-law-and-engines.md)
  - [11.2.6 Reversed Heat Engines](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/11-2-6-reversed-heat-engines.md)

### 12 Option: Turning Points in Physics (A2 only)
- 12.1 Discovery of the Electron (A2 only)
  - [12.1.1 Cathode Rays](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/12-1-1-cathode-rays.md)
  - [12.1.2 Thermionic Electron Emission](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/12-1-2-thermionic-electron-emission.md)
  - [12.1.3 Electron Specific Charge](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/12-1-3-electron-specific-charge.md)
  - [12.1.4 Millikan's Experiment](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/12-1-4-millikans-experiment.md)
- 12.2 Wave-Particle Duality (A2 only)
  - [12.2.1 Newton's & Huygen's Theories of Light](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/12-2-1-newtons-and-huygens-theories-of-light.md)
  - [12.2.2 Electromagnetic Waves](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/12-2-2-electromagnetic-waves.md)
  - [12.2.3 Photoelectricity](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/12-2-3-photoelectricity.md)
  - [12.2.4 Wave-Particle Duality](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/12-2-4-wave-particle-duality.md)
  - [12.2.5 Electron Microscopes](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/12-2-5-electron-microscopes.md)
- 12.3 Special Relativity (A2 only)
  - [12.3.1 Michelson-Morley Experiment](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/12-3-1-michelson-morley-experiment.md)
  - [12.3.2 Einstein's Theory of Special Relativity](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/12-3-2-einsteins-theory-of-special-relativity.md)
  - [12.3.3 Time Dilation](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/12-3-3-time-dilation.md)
  - [12.3.4 Length Contraction](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/12-3-4-length-contraction.md)
  - [12.3.5 Mass & Energy](https://senecalearning.com/en-gb/revision-notes/a-level/physics/aqa/12-3-5-mass-and-energy.md)