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DP IB Physics: SL

Revision Notes

Home / IB / Physics: SL / DP / Revision Notes / 5. Electricity & Magnetism / 5.4 Magnetic Effects of Electric Currents / 5.4.1 Magnetic Fields


5.4.1 Magnetic Fields


Magnetic Fields

Magnetic Field Definition

  • A magnetic field is a field of force that is created either by:
    • Moving electric charge
    • Permanent magnets

  • Permanent magnets are materials that produce a magnetic field
  • A stationary charge will not produce a magnetic field
  • A magnetic field is sometimes referred to as a B-field
  • A magnetic field is created around a current carrying wire due to the movement of electrons
  • Although magnetic fields are invisible, they can be observed by the force that pulls on magnetic materials, such as iron or the movement of a needle in a plotting compass

Representing Magnetic Fields

  • Magnetic fields are represented by magnetic field lines
    • These can be shown using iron filings or plotting compasses
  • Field lines are best represented on bar magnets, which consist of a north pole on one end and south pole on the other
  • The magnetic field is produced on a bar magnet by the movement of electrons within the atoms of the magnet
  • This is a result of the electrons circulating around the atoms, representing a tiny current and hence setting up a magnetic field
  • The direction of a magnetic field on a bar magnet is always from north to south

Bar magnetic field lines, downloadable AS & A Level Physics revision notes

Magnetic field lines are directed from the north pole to the south pole

  • When two bar magnets are pushed together, they either attract or repel each other:
    • Two like poles (north and north or south and south) repel each other
    • Two opposite poles (north and south) attract each other

Single bar magnet field lines, downloadable AS & A Level Physics revision notes

Two opposite poles attract each other and two like poles repel each other

 Magnetic Field around two Bar Magnets, downloadable IGCSE & GCSE Physics revision notes

Magnetic field lines between two bar magnets

  • The key aspects of drawing magnetic field lines:
    • The lines come out from the north poles and into the south poles
    • The direction of the field line shows the direction of the force that a free magnetic north pole would experience at that point
    • The field lines are stronger the closer the lines are together
    • The field lines are weaker the further apart the lines are
    • Magnetic field lines never cross since the magnetic field is unique at any point
    • Magnetic field lines are continuous
  • A uniform magnetic field is where the magnetic field strength is the same at all points
    • This is represented by equally spaced parallel lines, just like electric fields

  • The direction of the magnetic field into or out of the page in 3D is represented by the following symbols:
    • Dots (sometimes with a circle around them) represent the magnetic field directed out of the plane of the page
    • Crosses represent the magnetic field directed into the plane of the page

Direction of B field, downloadable AS & A Level Physics revision notes

The magnetic field into or out of the page is represented by circles with dots or crosses

Exam Tip

The best way to remember which way around to draw magnetic fields in 3D is by imagining an arrow coming towards or away from you

  • When the head of an arrow is coming towards you, you see the tip as a dot representing the arrow coming ‘out’ of the page
  • When an arrow is travelling away from you, you see the cross at the back of the arrow representing the arrow going ‘into’ the page

Right Hand Rule

Magnetic Fields in Wires, Coils & Solenoids

  • Magnetic field patterns are not only observed around bar magnets, magnetic fields are formed wherever current is flowing, such as in:
    • Long straight wires
    • Long solenoids
    • Flat circular coils

Field Lines in a Current-Carrying Wire

  • Magnetic field lines in a current carrying wire are circular rings, centered on the wire
  • The field lines are strongest near the wire and become further part away from the wire
  • Reversing the current reverses the direction of the field

Field lines on wire, downloadable AS & A Level Physics revision notes

The direction of magnetic field lines on a current carrying wire can be determined by the right hand thumb rule

  • The field lines are clockwise or anticlockwise around the wire, depending on the direction of the current
  • The direction of the magnetic field is determined by Maxwell’s right hand screw rule
    • This is determined by pointing the right-hand thumb in the direction of the current in the wire and curling the fingers onto the palm
    • The direction of the curled fingers represents the direction of the magnetic field around the wire
    • For example, if the current is travelling vertically upwards, the magnetic field lines will be directed anticlockwise, as seen from directly above the wire
    • Note: the direction of the current is taken to be the conventional current ie. from positive to negative, not the direction of electron flow

Field Lines in a Solenoid

  • As seen from a current carrying wire, an electric current produces a magnetic field
  • An electromagnetic makes use of this by using a coil of wire called a solenoid which concentrates the magnetic field
  • One ends becomes a north pole and the other the south pole

Field lines on solenoid, downloadable AS & A Level Physics revision notes

Magnetic field lines around a solenoid are similar to a bar magnet

  • Therefore, the magnetic field lines around a solenoid are very similar to a bar magnet
    • The field lines emerge from the north pole
    • The field lines return to the south pole
  • Which is the north or south pole depends on the direction of the current
    • This is found by the right-hand grip rule

  • This involves gripping the electromagnet so the fingers represent the direction of the current flow of the wire
  • The thumb points in the direction of the field lines inside the coil, or in other words, point towards the electromagnet’s north pole

Direction of field solenoid, downloadable AS & A Level Physics revision notes

Poles of a Solenoid

Field Lines in a Flat Circular Coil

  • A flat circular coil is equal to one of the coils of a solenoid
  • The field lines will emerge through one side of the circle (north pole) and leave the other (south pole)
  • As before, the direction of the north and south pole depends on the direction of the current
    • This can be determined by using the right-hand thumb rule
    • It is easier to find the direction of the magnetic field on the straight part of the circular coil to determine which direction the field lines are passing through

Field lines on circular coil, downloadable AS & A Level Physics revision notes

Magnetic field lines of a single circular coil are added up together to make to make the field lines of a solenoid

Worked Example

The current in a long, straight vertical wire is in the direction XY, as shown in the diagram.Sketch the pattern of the magnetic flux in the horizontal plane ABCD due to the current-carrying wire. Draw at least four flux lines.

Magnetic_Fields_in_Wires,_Coils___Solenoids_Worked_example_-_Drawing_Flux_Lines_Answer, downloadable AS & A Level Physics revision notes

✓ Concentric circles

✓ Increasing separation between each circle

✓ Arrows drawn in anticlockwise direction

Exam Tip

Remember to draw the arrows showing the direction of the field lines on every single field line you draw. Also, ensure that in a uniform magnetic field, the field lines are equally spaced.



  • 1. Measurement & Uncertainties
    • 1.1 Measurements in Physics
      • 1.1.1 SI Units
        • 1.1.2 Using Scientific Notation
          • 1.1.3 Estimating Physical Quantities
          • 1.2 Uncertainties & Errors
            • 1.2.1 Random & Systematic Errors
              • 1.2.2 Calculating Uncertainties
                • 1.2.3 Determining Uncertainties from Graphs
                • 1.3 Vectors & Scalars
                  • 1.3.1 Vector & Scalar Quantities
                    • 1.3.2 Combining & Resolving Vectors
                      • 1.3.3 Solving Vector Problems
                    • 2. Mechanics
                      • 2.1 Motion
                        • 2.1.1 Distance & Displacement
                          • 2.1.2 Speed & Velocity
                            • 2.1.3 Acceleration
                              • 2.1.4 Graphs Describing Motion
                                • 2.1.5 Uniform Acceleration
                                  • 2.1.6 Acceleration of Free Fall Experiment
                                    • 2.1.7 Projectile Motion
                                      • 2.1.8 Terminal Speed
                                      • 2.2 Forces
                                        • 2.2.1 Free-Body Diagrams
                                          • 2.2.2 Newton’s First Law
                                            • 2.2.3 Newton’s Second Law
                                              • 2.2.4 Newton’s Third Law
                                                • 2.2.5 Applying Newton’s Laws of Motion
                                                  • 2.2.6 Friction
                                                  • 2.3 Work, Energy & Power
                                                    • 2.3.1 Kinetic Energy
                                                      • 2.3.2 Gravitational Potential Energy
                                                        • 2.3.3 Elastic Potential Energy
                                                          • 2.3.4 Work Done
                                                            • 2.3.5 Power
                                                              • 2.3.6 Principle of Conservation of Energy
                                                                • 2.3.7 Efficiency
                                                                • 2.4 Momentum & Impulse
                                                                  • 2.4.1 Force & Momentum
                                                                    • 2.4.2 Impulse
                                                                      • 2.4.3 Conservation of Linear Momentum
                                                                        • 2.4.4 Collisions & Explosions
                                                                      • 3. Thermal Physics
                                                                        • 3.1 Thermal Concepts
                                                                          • 3.1.1 Solids, Liquids & Gases
                                                                            • 3.1.2 Temperature
                                                                              • 3.1.3 Internal Energy
                                                                                • 3.1.4 Specific Heat Capacity
                                                                                  • 3.1.5 Specific Latent Heat
                                                                                    • 3.1.6 Phase Change
                                                                                      • 3.1.7 Investigating Thermal Energy
                                                                                      • 3.2 Modelling a Gas
                                                                                        • 3.2.1 Ideal Gas Laws
                                                                                          • 3.2.2 Ideal Gas Equation
                                                                                            • 3.2.3 Kinetic Model of an Ideal Gas
                                                                                              • 3.2.4 Mole Calculations
                                                                                                • 3.2.5 Investigating Gas Laws
                                                                                              • 4. Waves
                                                                                                • 4.1 Oscillations
                                                                                                  • 4.1.1 Properties of Oscillations
                                                                                                    • 4.1.2 Simple Harmonic Oscillations
                                                                                                      • 4.1.3 SHM Graphs
                                                                                                        • 4.1.4 Energy in SHM
                                                                                                        • 4.2 Travelling Waves
                                                                                                          • 4.2.1 Properties of Waves
                                                                                                            • 4.2.2 Transverse & Longitudinal Waves
                                                                                                              • 4.2.3 Electromagnetic Waves
                                                                                                                • 4.2.4 Sound Waves
                                                                                                                • 4.3 Wave Characteristics
                                                                                                                  • 4.3.1 Wavefronts
                                                                                                                    • 4.3.2 Amplitude & Intensity
                                                                                                                      • 4.3.3 Superposition
                                                                                                                        • 4.3.4 Polarisation
                                                                                                                          • 4.3.5 Malus’s Law
                                                                                                                          • 4.4 Wave Behaviour
                                                                                                                            • 4.4.1 Reflection, Refraction & Transmission
                                                                                                                              • 4.4.2 Reflection
                                                                                                                                • 4.4.3 Refraction
                                                                                                                                  • 4.4.4 Determining Refractive Index
                                                                                                                                    • 4.4.5 Single-Slit Diffraction
                                                                                                                                      • 4.4.6 Interference & Path Difference
                                                                                                                                        • 4.4.7 Double-Slit Equation
                                                                                                                                        • 4.5 Standing Waves
                                                                                                                                          • 4.5.1 The Nature of Standing Waves
                                                                                                                                            • 4.5.2 Nodes & Antinodes
                                                                                                                                              • 4.5.3 Boundary Conditions for Standing Waves
                                                                                                                                                • 4.5.4 Harmonics
                                                                                                                                              • 5. Electricity & Magnetism
                                                                                                                                                • 5.1 Electric Fields
                                                                                                                                                  • 5.1.1 Charge & Current
                                                                                                                                                    • 5.1.2 Drift Speed
                                                                                                                                                      • 5.1.3 Potential Difference & DC
                                                                                                                                                        • 5.1.4 Electric Fields
                                                                                                                                                          • 5.1.5 Coulomb’s Law
                                                                                                                                                          • 5.2 Heating Effect of Electric Currents
                                                                                                                                                            • 5.2.1 Circuits
                                                                                                                                                              • 5.2.2 Resistance & Resistors
                                                                                                                                                                • 5.2.3 Kirchhoff’s Circuit Laws
                                                                                                                                                                  • 5.2.4 I-V Characteristics
                                                                                                                                                                    • 5.2.5 Resistivity
                                                                                                                                                                      • 5.2.6 Investigating Resistivity
                                                                                                                                                                        • 5.2.7 Series & Parallel Circuits
                                                                                                                                                                          • 5.2.8 Heating Effect of Current
                                                                                                                                                                            • 5.2.9 Potential Divider Circuits
                                                                                                                                                                            • 5.3 Electric Cells
                                                                                                                                                                              • 5.3.1 Primary & Secondary Cells
                                                                                                                                                                                • 5.3.2 Investigating Electric Cells
                                                                                                                                                                                  • 5.3.3 Terminal Potential Difference
                                                                                                                                                                                    • 5.3.4 Electromotive Force & Internal Resistance
                                                                                                                                                                                    • 5.4 Magnetic Effects of Electric Currents
                                                                                                                                                                                      • 5.4.1 Magnetic Fields
                                                                                                                                                                                        • 5.4.2 Magnetic Force on a Charge
                                                                                                                                                                                          • 5.4.3 Magnetic Force on a Current-Carrying Conductor
                                                                                                                                                                                            • 5.4.4 Solving Problems Involving Magnetic Forces
                                                                                                                                                                                          • 6. Circular Motion & Gravitation
                                                                                                                                                                                            • 6.1 Circular Motion
                                                                                                                                                                                              • 6.1.1 Circular Motion
                                                                                                                                                                                                • 6.1.2 Centripetal Force
                                                                                                                                                                                                  • 6.1.3 Centripetal Acceleration
                                                                                                                                                                                                    • 6.1.4 Applications of Circular Motion
                                                                                                                                                                                                    • 6.2 Newton’s Law of Gravitation
                                                                                                                                                                                                      • 6.2.1 Newton’s Law of Gravitation
                                                                                                                                                                                                        • 6.2.2 Circular Orbits
                                                                                                                                                                                                          • 6.2.3 Gravitational Field Strength
                                                                                                                                                                                                        • 7. Atomic, Nuclear & Particle Physics
                                                                                                                                                                                                          • 7.1 Discrete Energy & Radioactivity
                                                                                                                                                                                                            • 7.1.1 Discrete Energy Levels
                                                                                                                                                                                                              • 7.1.2 Calculating Discrete Energies
                                                                                                                                                                                                                • 7.1.3 Emission & Absorption Spectrum
                                                                                                                                                                                                                  • 7.1.4 Isotopes & Radioactive Decay
                                                                                                                                                                                                                    • 7.1.5 Background Radiation
                                                                                                                                                                                                                      • 7.1.6 Alpha, Beta & Gamma Particles
                                                                                                                                                                                                                        • 7.1.7 Decay Equations
                                                                                                                                                                                                                          • 7.1.8 Half-Life
                                                                                                                                                                                                                            • 7.1.9 Investigating Half-Life
                                                                                                                                                                                                                            • 7.2 Nuclear Reactions
                                                                                                                                                                                                                              • 7.2.1 Atomic Mass Unit
                                                                                                                                                                                                                                • 7.2.2 Mass Defect & Nuclear Binding Energy
                                                                                                                                                                                                                                  • 7.2.3 Nuclear Fission & Fusion
                                                                                                                                                                                                                                    • 7.2.4 Binding Energy per Nucleon Curve
                                                                                                                                                                                                                                    • 7.3 The Structure of Matter
                                                                                                                                                                                                                                      • 7.3.1 Discovery of the Nucleus
                                                                                                                                                                                                                                        • 7.3.2 Quarks & Leptons
                                                                                                                                                                                                                                          • 7.3.3 Hadrons, Baryons & Mesons
                                                                                                                                                                                                                                            • 7.3.4 Particle Conservation Laws
                                                                                                                                                                                                                                              • 7.3.5 Fundamental Forces
                                                                                                                                                                                                                                                • 7.3.6 Feynman Diagrams & Confinement
                                                                                                                                                                                                                                                  • 7.3.7 The Standard Model of Particle Physics
                                                                                                                                                                                                                                                • 8. Energy Production
                                                                                                                                                                                                                                                  • 8.1 Energy Sources
                                                                                                                                                                                                                                                    • 8.1.1 Specific Energy
                                                                                                                                                                                                                                                      • 8.1.2 Sankey Diagrams
                                                                                                                                                                                                                                                        • 8.1.3 Primary & Secondary Energy Sources
                                                                                                                                                                                                                                                          • 8.1.4 Energy Resources
                                                                                                                                                                                                                                                            • 8.1.5 Energy Generation
                                                                                                                                                                                                                                                              • 8.1.6 Safety Issues in Nuclear Power
                                                                                                                                                                                                                                                              • 8.2 Thermal Energy Transfer
                                                                                                                                                                                                                                                                • 8.2.1 Conduction, Convection & Thermal Radiation
                                                                                                                                                                                                                                                                  • 8.2.2 Black-Body Radiation
                                                                                                                                                                                                                                                                    • 8.2.3 The Solar Constant, Albedo & Emissivity
                                                                                                                                                                                                                                                                      • 8.2.4 The Greenhouse Effect
                                                                                                                                                                                                                                                                        • 8.2.5 Earth's Surface–Atmosphere System
                                                                                                                                                                                                                                                                      Katie Moon

                                                                                                                                                                                                                                                                      Author: Katie

                                                                                                                                                                                                                                                                      Katie has always been passionate about the sciences, and completed a degree in Astrophysics at Sheffield University. She decided that she wanted to inspire other young people, so moved to Bristol to complete a PGCE in Secondary Science. She particularly loves creating fun and absorbing materials to help students achieve their exam potential.


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