Source: https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/6-3-2-vector-problems

[Revision notes](https://senecalearning.com/en-gb/revision-notes.md) › [IB Diploma](https://senecalearning.com/en-gb/revision-notes/ib-diploma.md) › [Physics](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics.md) › [Physics: IB Diploma Higher Level](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level.md) › Vector Problems

# Vector Problems

Physics: IB Diploma Higher Level, topic 6.3.2

## Resolving Vectors

You need to be able to resolve vectors into two components.  That means separating the vector into two parts, each part at right angles to the other.

### Resolving into x and y components

![Resolving into x and y components](https://image-v2.cdn.app.senecalearning.com/2018-08/6cda2c2a-333b-4676-8e42-5ffafdafd276/Resolving%20vectors.png)

- The vector shown here sits in the x and y plane.
- We can resolve this vector into two perpendicular components: vertical and horizontal.

### Resolving into x and y components

![Resolving into x and y components](https://image-v2.cdn.app.senecalearning.com/2018-08/b7cf93bd-9463-4d9a-952a-cf349fe274cd/Resolving%20vectors.png)

- The x (horizontal) component is given by:
 - Fx = F cos θ
- The y (vertical) component is given by:
 - Fy = F sin θ

## Resolving Along an Incline

For problems with an inclined plane (a slope), it can be useful to resolve forces along the direction of the slope and the direction perpendicular to the slope.

### Inclined plane

![Inclined plane](https://image-v2.cdn.app.senecalearning.com/2019-11/1eedf52b-91e8-4725-97a5-5152c22994e8/Resolving%20on%20incline-min.png)

- A particle sits on a plane inclined at an angle θ.
- The weight of the cube is W and acts vertically downwards.
- There are no other forces acting.

### Resolve along plane

![Resolve along plane](https://image-v2.cdn.app.senecalearning.com/2019-11/1eedf52b-91e8-4725-97a5-5152c22994e8/Resolving%20on%20incline-min.png)

- The weight resolved along the plane is W sin θ, as shown by the triangle drawn.
- The direction of the force is shown by the direction of the arrow.

### Resolve perpendicular to the plane

![Resolve perpendicular to the plane](https://image-v2.cdn.app.senecalearning.com/2019-11/1eedf52b-91e8-4725-97a5-5152c22994e8/Resolving%20on%20incline-min.png)

- The weight resolved perpendicular to the plane is W cos θ, as shown by the triangle drawn.
- The direction of the force is shown by the direction of the arrow.

## Equilibrium

An object is in equilibrium if the resultant force acting on it is zero.  An object in equilibrium may be stationary (still) or moving with constant velocity.

### Multiple forces

![Multiple forces](https://image-v2.cdn.app.senecalearning.com/courseImages/physics/1.5.1.2.1%20Reactant%20force%20and%20equilibrium,%20falling%20book-min.png)

- The resultant force on an object in equilibrium is zero.
- This occurs when the forces form a closed triangle.

### Example

![Example](https://image-v2.cdn.app.senecalearning.com/2018-08/708693e7-d6ea-4f2c-820b-1e5938d3d6d7/Closed%20forces.png)

- The forces in the example form a closed triangle.
- Therefore the object is in equilibrium.

## Test yourself on Vector Problems

- What is the correct equation for the horizontal force?
- What is the correct equation for vertical force?
- If a block is on an incline what is the component of the weight, W, perpendicular to the plane?
- What is the resultant force at equilibrium?

[Practise this topic for free](https://app.senecalearning.com/classroom/course/d1080336-c86a-41e9-bd82-37d8d6e9f104/section/260e28b5-a947-4fa1-a5ea-76fabfe5d06c/session)

- Previous topic: [6.3.1 Scalars & Vectors](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/6-3-1-scalars-and-vectors.md)

## Physics: IB Diploma Higher Level contents

### 1 Space, Time & Motion
- 1.1 Motion
  - [1.1.1 Motion Basics](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/1-1-1-motion-basics.md)
  - [1.1.2 Graphs of Motion](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/1-1-2-graphs-of-motion.md)
  - [1.1.3 Uniform Acceleration Equations](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/1-1-3-uniform-acceleration-equations.md)
  - [1.1.4 Projectile Motion](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/1-1-4-projectile-motion.md)
  - [1.1.5 Bouncing Ball Example](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/1-1-5-bouncing-ball-example.md)
- 1.2 Forces
  - [1.2.1 Friction](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/1-2-1-friction.md)
  - [1.2.2 Terminal Speed](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/1-2-2-terminal-speed.md)
  - [1.2.3 Newton's Laws](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/1-2-3-newtons-laws.md)
  - [1.2.4 Exam-Style Question - Forces](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/1-2-4-exam-style-question-forces.md)
  - [1.2.5 End of Topic Test - Newton's Third Law](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/1-2-5-end-of-topic-test-newtons-third-law.md)
- 1.3 Momentum & Impulse
  - [1.3.1 Momentum](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/1-3-1-momentum.md)
  - [1.3.2 Momentum 2](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/1-3-2-momentum-2.md)
  - [1.3.3 End of Topic Test - Newton's Laws & Momentum](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/1-3-3-end-of-topic-test-newtons-laws-and-momentum.md)
- 1.4 Work, Energy & Power
  - [1.4.1 Work & Energy](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/1-4-1-work-and-energy.md)
  - [1.4.2 Conservation of Energy](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/1-4-2-conservation-of-energy.md)
  - [1.4.3 Power & Efficiency](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/1-4-3-power-and-efficiency.md)
  - [1.4.4 IB Multiple Choice- Work, Energy & Power](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/1-4-4-ib-multiple-choice-work-energy-and-power.md)

### 2 The Particulate Nature of Matter
- 2.1 Thermal Concepts
  - [2.1.1 Molecular Kinetic Theory Model](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/2-1-1-molecular-kinetic-theory-model.md)
  - [2.1.2 Molecular Kinetic Theory Model 2](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/2-1-2-molecular-kinetic-theory-model-2.md)
  - [2.1.3 Thermal Energy Transfer](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/2-1-3-thermal-energy-transfer.md)
  - [2.1.4 Thermal Energy Transfer Experiments](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/2-1-4-thermal-energy-transfer-experiments.md)
  - [2.1.5 Thermal Equilibrium](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/2-1-5-thermal-equilibrium.md)
  - [2.1.6 Thermal Conductivity](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/2-1-6-thermal-conductivity.md)
  - [2.1.7 Heat Energy Transfer](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/2-1-7-heat-energy-transfer.md)
- 2.2 Modelling a Gas
  - [2.2.1 Ideal Gases](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/2-2-1-ideal-gases.md)
  - [2.2.2 Ideal Gases 2](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/2-2-2-ideal-gases-2.md)
  - [2.2.3 End of Topic Test - Thermal Energy & Ideal Gases](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/2-2-3-end-of-topic-test-thermal-energy-and-ideal-gases.md)
  - [2.2.4 Exam-Style Question - Ideal Gases](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/2-2-4-exam-style-question-ideal-gases.md)

### 3 Wave Behaviour
- 3.1 Oscillations
  - [3.1.1 Progressive Waves](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/3-1-1-progressive-waves.md)
  - [3.1.2 Simple Harmonic Motion](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/3-1-2-simple-harmonic-motion.md)
- 3.2 Travelling Waves
  - [3.2.1 Wave Speed & Phase Difference](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/3-2-1-wave-speed-and-phase-difference.md)
  - [3.2.2 Longitudinal & Transverse Waves](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/3-2-2-longitudinal-and-transverse-waves.md)
  - [3.2.3 Electromagnetic Waves](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/3-2-3-electromagnetic-waves.md)
  - [3.2.4 Electromagnetic Waves 2](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/3-2-4-electromagnetic-waves-2.md)
  - [3.2.5 Sound Waves](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/3-2-5-sound-waves.md)
- 3.3 Wave Characteristics
  - [3.3.1 Polarisation](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/3-3-1-polarisation.md)
- 3.4 Wave Behaviour
  - [3.4.1 Reflection & Absorption](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/3-4-1-reflection-and-absorption.md)
  - [3.4.2 Reflection of Light](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/3-4-2-reflection-of-light.md)
  - [3.4.3 Refraction](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/3-4-3-refraction.md)
  - [3.4.4 Refractive index](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/3-4-4-refractive-index.md)
- 3.5 Standing Waves
  - [3.5.1 Standing Waves](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/3-5-1-standing-waves.md)
  - [3.5.2 Standing Waves 2](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/3-5-2-standing-waves-2.md)
  - [3.5.3 End of Topic Test - Standing Waves](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/3-5-3-end-of-topic-test-standing-waves.md)
  - [3.5.4 IB Multiple Choice - Waves](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/3-5-4-ib-multiple-choice-waves.md)
- 3.6 Simple Harmonic Motion
  - [3.6.1 Simple Harmonic Motion](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/3-6-1-simple-harmonic-motion.md)
  - [3.6.2 Simple Harmonic Systems](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/3-6-2-simple-harmonic-systems.md)
  - [3.6.3 Energy in Simple Harmonic Motion](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/3-6-3-energy-in-simple-harmonic-motion.md)
  - [3.6.4 End of Topic Test - Simple Harmonic Motion](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/3-6-4-end-of-topic-test-simple-harmonic-motion.md)
  - [3.6.5 End of Topic Test - Simple Harmonic Motion](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/3-6-5-end-of-topic-test-simple-harmonic-motion.md)
- 3.7 Single Slit Diffraction
  - [3.7.1 Diffraction](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/3-7-1-diffraction.md)
- 3.8 Interference
  - [3.8.1 Interference](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/3-8-1-interference.md)
  - [3.8.2 Interference 2](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/3-8-2-interference-2.md)
  - [3.8.3 Diffraction Gratings](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/3-8-3-diffraction-gratings.md)
  - [3.8.4 End of Topic Test - Diffraction](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/3-8-4-end-of-topic-test-diffraction.md)
- 3.9 Doppler Effect
  - [3.9.1 Doppler Effect](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/3-9-1-doppler-effect.md)

### 4 Fields
- 4.1 Circular Motion
  - [4.1.1 Circular Motion](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-1-1-circular-motion.md)
  - [4.1.2 Centripetal Force](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-1-2-centripetal-force.md)
  - [4.1.3 IB Multiple Choice - Circular Motion](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-1-3-ib-multiple-choice-circular-motion.md)
- 4.2 Newton's Law of Gravitation
  - [4.2.1 Newton's Law](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-2-1-newtons-law.md)
  - [4.2.2 Orbits of Planets & Satellites](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-2-2-orbits-of-planets-and-satellites.md)
  - [4.2.3 Escape Velocity & Synchronous Orbits](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-2-3-escape-velocity-and-synchronous-orbits.md)
  - [4.2.4 End of Topic Test - Gravitational Fields](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-2-4-end-of-topic-test-gravitational-fields.md)
- 4.3 Fields
  - [4.3.1 Fields](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-3-1-fields.md)
  - [4.3.2 Gravitational Field Strength](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-3-2-gravitational-field-strength.md)
  - [4.3.3 Gravitational Potential](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-3-3-gravitational-potential.md)
  - [4.3.4 Electric Field Strength](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-3-4-electric-field-strength.md)
  - [4.3.5 Electrostatic & Gravitational Forces](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-3-5-electrostatic-and-gravitational-forces.md)
  - [4.3.6 Electric Potential](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-3-6-electric-potential.md)
  - [4.3.7 IB Multiple Choice - Gravitational Fields](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-3-7-ib-multiple-choice-gravitational-fields.md)
- 4.4 Fields at Work
  - [4.4.1 Radial Field Strength](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-4-1-radial-field-strength.md)
  - [4.4.2 Orbits of Planets & Satellites](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-4-2-orbits-of-planets-and-satellites.md)
  - [4.4.3 Escape Velocity & Synchronous Orbits](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-4-3-escape-velocity-and-synchronous-orbits.md)
  - [4.4.4 End of Topic Test - Gravitational Fields](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-4-4-end-of-topic-test-gravitational-fields.md)
  - [4.4.5 Uniform Electric Fields](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-4-5-uniform-electric-fields.md)
  - [4.4.6 IB Multiple Choice - Electric Field & Potential](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-4-6-ib-multiple-choice-electric-field-and-potential.md)
- 4.5 Electric Fields
  - [4.5.1 Electric Charge](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-5-1-electric-charge.md)
  - [4.5.2 Conservation of Charge](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-5-2-conservation-of-charge.md)
  - [4.5.3 Coulomb's Law](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-5-3-coulombs-law.md)
  - [4.5.4 Current](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-5-4-current.md)
  - [4.5.5 Potential Difference](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-5-5-potential-difference.md)
  - [4.5.6 IB Multiple Choice - Electric Charge](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-5-6-ib-multiple-choice-electric-charge.md)
- 4.6 Magnetic Effect of Electric Currents
  - [4.6.1 Magnetism](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-6-1-magnetism.md)
  - [4.6.2 Magnetic Field](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-6-2-magnetic-field.md)
  - [4.6.3 Magnetic Force](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-6-3-magnetic-force.md)
  - [4.6.4 Moving Charges in a Magnetic Field](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-6-4-moving-charges-in-a-magnetic-field.md)
  - [4.6.5 IB Multiple Choice - Magnetism](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-6-5-ib-multiple-choice-magnetism.md)
- 4.7 Heating Effect of Currents
  - [4.7.1 Circuits](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-7-1-circuits.md)
  - [4.7.2 Resistance](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-7-2-resistance.md)
  - [4.7.3 Power and Conservation](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-7-3-power-and-conservation.md)
  - [4.7.4 IB Multiple Choice - DC Circuits](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-7-4-ib-multiple-choice-dc-circuits.md)
- 4.8 Electromagnetic Induction
  - [4.8.1 Electromagnetic Induction](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-8-1-electromagnetic-induction.md)
  - [4.8.2 Electromagnetic Induction 2](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-8-2-electromagnetic-induction-2.md)
  - [4.8.3 Magnetic Flux & Flux Linkage](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-8-3-magnetic-flux-and-flux-linkage.md)
  - [4.8.4 End of Topic Test - Electromagnetic Induction](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-8-4-end-of-topic-test-electromagnetic-induction.md)
- 4.9 Power Generation & Transmission
  - [4.9.1 Alternating Currents](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-9-1-alternating-currents.md)
  - [4.9.2 Operation of a Transformer](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-9-2-operation-of-a-transformer.md)
- 4.10 Capacitance
  - [4.10.1 Capacitance](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-10-1-capacitance.md)
  - [4.10.2 Parallel Plate Capacitor](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-10-2-parallel-plate-capacitor.md)
  - [4.10.3 Energy Stored by a Capacitor](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-10-3-energy-stored-by-a-capacitor.md)
  - [4.10.4 Capacitor Discharge](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-10-4-capacitor-discharge.md)
  - [4.10.5 Capacitor Charge](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-10-5-capacitor-charge.md)
  - [4.10.6 Magnetic Flux Density](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-10-6-magnetic-flux-density.md)
  - [4.10.7 End of Topic Test - Capacitance & Flux Density](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-10-7-end-of-topic-test-capacitance-and-flux-density.md)

### 5 Nuclear & Quantum Physics
- 5.1 Discrete Energy & Radioactivity
  - [5.1.1 Atomic Spectra](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/5-1-1-atomic-spectra.md)
  - [5.1.2 Atomic Structure](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/5-1-2-atomic-structure.md)
  - [5.1.3 Photons](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/5-1-3-photons.md)
  - [5.1.4 Discrete Energy Levels](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/5-1-4-discrete-energy-levels.md)
  - [5.1.5 Alpha, Beta & Gamma Radiation](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/5-1-5-alpha-beta-and-gamma-radiation.md)
  - [5.1.6 Scientific Practices - Unstable Nuclei](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/5-1-6-scientific-practices-unstable-nuclei.md)
  - [5.1.7 Radioactive Decay](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/5-1-7-radioactive-decay.md)
  - [5.1.8 IB Multiple Choice - Atomic Physics](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/5-1-8-ib-multiple-choice-atomic-physics.md)
- 5.2 Nuclear Reactions
  - [5.2.1 Mass & Energy](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/5-2-1-mass-and-energy.md)
  - [5.2.2 Nuclear Fission](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/5-2-2-nuclear-fission.md)
- 5.3 The Interaction of Matter with Radiation
  - [5.3.1 Particles, Antiparticles & Photons](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/5-3-1-particles-antiparticles-and-photons.md)
  - [5.3.2 Particle Interactions](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/5-3-2-particle-interactions.md)
  - [5.3.3 Classification of Particles](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/5-3-3-classification-of-particles.md)
  - [5.3.4 Wave-Particle Duality](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/5-3-4-wave-particle-duality.md)
  - [5.3.5 Wave Functions & Probability](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/5-3-5-wave-functions-and-probability.md)
  - [5.3.6 IB Multiple Choice - Quantum Physics](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/5-3-6-ib-multiple-choice-quantum-physics.md)
- 5.4 Nuclear Physics
  - [5.4.1 Nuclear Instability & Radioactive Decay](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/5-4-1-nuclear-instability-and-radioactive-decay.md)
  - [5.4.2 Nuclear Radius](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/5-4-2-nuclear-radius.md)
  - [5.4.3 IB Multiple Choice - Nuclear Physics](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/5-4-3-ib-multiple-choice-nuclear-physics.md)

### 6 Measurements
- 6.1 Measurements & Errors
  - [6.1.1 Fundamental Units](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/6-1-1-fundamental-units.md)
  - [6.1.2 SI Prefixes, Standard Form & Converting Units](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/6-1-2-si-prefixes-standard-form-and-converting-units.md)
  - [6.1.3 End of Topic Test - Units & Prefixes](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/6-1-3-end-of-topic-test-units-and-prefixes.md)
- 6.2 Uncertainties & Errors
  - [6.2.1 Limitation of Physical Measurements](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/6-2-1-limitation-of-physical-measurements.md)
  - [6.2.2 Uncertainty](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/6-2-2-uncertainty.md)
  - [6.2.3 Estimation](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/6-2-3-estimation.md)
  - [6.2.4 End of Topic Test - Measurements & Errors](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/6-2-4-end-of-topic-test-measurements-and-errors.md)
- 6.3 Vectors & Scalars
  - [6.3.1 Scalars & Vectors](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/6-3-1-scalars-and-vectors.md)
  - [6.3.2 Vector Problems](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/6-3-2-vector-problems.md)