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Magnetism &
electromagnetism
Learning outcomes
• describe and explain the behaviour of permanent magnets,
including induced magnetism
• explain magnetisation and demagnetisation of ferromagnetic
materials in terms of magnetic domains
• describe how magnetic fields arise from moving charges, e.g.
in current-carrying straight wires, plane coils and solenoids
• describe how a transformer works, in terms of transformer
turns, currents & voltages
• describe the vectors involved in motor and dynamo effects
• explain why electricity is transmitted at high voltage
• experience relevant demonstration & class experiments
Overview
• contexts for teaching about electromagnetism
• permanent magnets
• electromagnets
• catapult effect and motors
• electromagnetic induction and generators
• Lenz’s law
• transformers & high voltage transmission of electricity
Circus of experiments
Misconceptions
• All metals are magnetic materials.
• Static charges interact with the poles of permanent magnets.
• Magnetic poles are located on the surface of a magnet.
[Careful observation shows that they are inside the magnet.]
Teaching challenges
Magnetic fields
• cannot be seen directly
• are three-dimensional, though commonly represented by 2-D
diagrams.
Some students find it hard to understand
• why permanent magnets can lose their strength
• that the geographic North pole must be a south magnetic pole
• that a current-carrying coil of wire induces (temporary)
magnetism in the iron core of an electromagnet.
• the operation of motors and generators (incl left hand rule)
A brief history
1600 William Gilbert, On magnetism; magnetic materials;
poles that attract & repel; Earth’s magnetic field, compass ‘dip’
1820 Hans Christian Oersted finds that an electric current deflects
a compass needle.
1820 Andre Marie Ampère finds that parallel wires
carrying current produce forces on each other.
1820s, 1830s Michael Faraday develops the concept of
electric field and shows that
electric current + magnetism -> motion (motor effect)
motion + magnetism -> electric current (electromagnetic induction)
1860s James Clerk Maxwell (1831-1879) establishes
a mathematical description of electromagnetism.
Motors everywhere
lifts & escalators; fans, turbines, drills; wheelchairs; car windscreen
wipers, starter motors, windows & side mirrors; motors in electric
cars, locomotives & conveyor belts; industrial robots, saws and
blades in cutting and slicing processes; food mixers & blenders,
microwave ovens; hand power tools such as drills, sanders,
routers; electric toothbrushes, shavers, hairdryers; vacuum
cleaners, sound systems, computers …
using electricity supplied by power station generators
Field lines indicate both direction and magnitude
(strength) of a magnetic field. They end at poles.
A compass needle can be thought of as a test dipole.
Magnetic flux density (‘field strength’) has symbol B, unit tesla.
Describing a magnetic field
Bar magnet
Common misconceptions
• All metals are magnetic materials.
• Static charges interact with the poles of permanent magnets.
• Magnetic poles are located on the surface of a magnet.
[Careful observation shows that they are inside the magnet.]
Magnetic poles: always pairs
A permanent magnet can be split into two or more
magnets, each with N and S poles which cannot be
isolated.
This suggests that the magnetic effect of a permanent
magnet comes from microscopic, circulating electric
currents.
Electron spin, inside atoms,
is the main cause of
ferromagnetism.
demagnetised
magnetised
Microscopic structure
Domain theory
Magnetising & demagnetising
Make a magnet
• by stroking
• by using DC coil carrying current
• by tapping while aligned with the Earth’s field
Demagnetise a magnet
• by dropping or banging randomly
• by heating
• by applying a diminishing AC current
Magnetic induction
A permanent magnet can induce temporary magnetism
in a ‘soft’ magnetic material.
• This causes attraction, but cannot cause repulsion.
• Use repulsion to test if an object is already magnetised.
Right hand screw rule, a.k.a. the ‘corkscrew’ or
‘pencil sharpener’ rule:
Place thumb in direction of current; fingers indicate direction of
the magnetic field.
Magnetic field of a straight wire
NB: Here
field lines
are closed
loops.
Magnetic field of a solenoid
Right hand grip rule: Wrap fingers around solenoid in
direction of current; thumb indicates N pole.
N S
Note the similarity
A stronger electromagnet
Length of a solenoid is L
• Use iron or steel core (increasing permeability, )
• Increase the current, I
• Increase wraps or turns of solenoid, N.
I
L
N
B 

Uses of electromagnetism
• loudspeaker
• moving coil microphone
• motors of various designs
• electric bell or buzzer (can be made in class, URLS below)
• moving coil galvanometer (ammeter)
• relay (control circuit with small current switches a second,
larger, current circuit)
Practical Physics website: model buzzer, model electric bell
Catapult effect
Fleming’s
left hand
rule
Force on a current-carrying wire in a B-field. Compare AC to DC.
Simple DC motor
Westminster kit motor
http://www.nuffieldfoundation.org/practical-physics/electric-motor
Model loudspeaker
http://www.nuffieldfoundation.org/practical-physics/model-
loudspeaker
Motors & loudspeakers
homopolar motor
Parallel currents
parallel - attract anti-parallel - repel
Force per unit length, at spacing r,
F =
moI1I2
2πr
The ampere defined
1 ampere: the steady current
which, when flowing in two
straight parallel wires of infinite
length and negligible cross-
section, separated by a distance
of one metre in free space,
produces a force between the
wires of
2 × 10-7 newtons per metre of
length
Electromagnetic induction
(‘Dynamo effect’)
Faraday’s law: Relative motion of a wire and a magnetic field will induce
an e.m.f. (voltage). If there is a complete circuit, a current will be induced
too.
– magnet stationary, coil moves
– coil stationary, magnet moves,
– coil stationary, magnetic field lines changing
Induced EMF is proportional to ‘the rate at which field lines are cut’.
Lenz’s Law: The induced current always flows in such a direction as to
oppose the change which causes it.
Faraday’s Electromagnetic Lab phet.colorado.edu/en/simulation/faraday
Lenz’s law illustrated
AC generator
Motor/generator
SEP unit
Transformer
Vp
Vs
=
Np
Ns
the ‘turns-ratio equation’
power in primary coil = power in secondary coil
Ideal transformer
IpVp = IsVs
Is
Ip
=
Vp
Vs
How a transformer works:
micro.magnet.fsu.edu/electromag/java/transformer/index.html
High voltage transmission
Heating loss in a transmission cable:
Keep current small by making voltage large.
Grid voltages: 275 kV, 400 kV
Model power line
www.electrosound.co.uk
R
I
IR
I
IV
P 2
)
( 


A sustainable energy future
‘… much more energy demand will be met through the electricity
system and generation will be added both centrally and
throughout the distribution system.’
‘Turning [carbon] emissions reduction targets into reality will require
more than political will: it will require nothing short of the biggest
peacetime programme of change ever seen in the UK.’
(Royal Academy of Engineering report, March 2010, Generating the future)
‘Renewable generation, which by its nature will be widely
distributed and mainly located in coastal and northern regions,
will also require considerable investment in electrical supply
system infrastructures both in terms of local distribution systems
and the national grid.’
(Royal Academy of Engineering, July 2006, Energy seminars report)
Safety
Hazard with strongest rare earth (neodymium)
magnets – swallow, shatter, pinch, interfere
• keep away from (>1m) any person who uses medical aids like a
pacemaker
• only responsible students or yourself to handle largest ones, or
more than one at a time
• wear safety spectacles and protective gloves when handling two
or more of the largest, most powerful magnets – risk of
shattering or pinching
• keep away from (>1m) electronic devices like computer
monitors, credit cards and memory sticks
Electromagnetism: a summary
• The force, F, acting on charge q
has two components:
E, electric field due to stationary charge(s).
B, magnetic field due to moving charge(s) - currents - with
relative velocity v.
• can be superposed e.g. E = E1 + E2 + …
• electric & magnetic fields store energy
• Maxwell’s equations: laws that describe the structure of the
electromagnetic field. E and B fields can exist without a circuit
and test magnetic dipole.
 
B
v
E
q
F 


J. Clerk Maxwell (1865), ‘A Dynamical Theory of the Electromagnetic
Field’ Phil. Trans. R. Soc. Lond.
A changing electric field induces a changing magnetic field, and
vice versa. It therefore makes sense to talk of an
‘electromagnetic field’.
Electromagnetic waves propagate in
free space at c = 3 x 108 m/s.
E and B are always perpendicular to each other, and
perpendicular to the direction of propagation.
Electromagnetic waves
Em fields are real
‘The electromagnetic field is, for the
modern physicist, as real as the chair
on which he sits.’
Einstein and Infeld, 1938
Support, references
talkphysics.org
SPT 11-14 Electricity & magnetism
David Sang (ed., 2011) Teaching secondary physics ASE / Hodder
Practical Physics website: Electromagnetism topic
http://www.nuffieldfoundation.org/practical-physics/electromagnetism
PhET simulation Faraday’s Electromagnetic Lab

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Understanding Magnetism & Electromagnetism

  • 2. Learning outcomes • describe and explain the behaviour of permanent magnets, including induced magnetism • explain magnetisation and demagnetisation of ferromagnetic materials in terms of magnetic domains • describe how magnetic fields arise from moving charges, e.g. in current-carrying straight wires, plane coils and solenoids • describe how a transformer works, in terms of transformer turns, currents & voltages • describe the vectors involved in motor and dynamo effects • explain why electricity is transmitted at high voltage • experience relevant demonstration & class experiments
  • 3. Overview • contexts for teaching about electromagnetism • permanent magnets • electromagnets • catapult effect and motors • electromagnetic induction and generators • Lenz’s law • transformers & high voltage transmission of electricity Circus of experiments
  • 4. Misconceptions • All metals are magnetic materials. • Static charges interact with the poles of permanent magnets. • Magnetic poles are located on the surface of a magnet. [Careful observation shows that they are inside the magnet.]
  • 5. Teaching challenges Magnetic fields • cannot be seen directly • are three-dimensional, though commonly represented by 2-D diagrams. Some students find it hard to understand • why permanent magnets can lose their strength • that the geographic North pole must be a south magnetic pole • that a current-carrying coil of wire induces (temporary) magnetism in the iron core of an electromagnet. • the operation of motors and generators (incl left hand rule)
  • 6. A brief history 1600 William Gilbert, On magnetism; magnetic materials; poles that attract & repel; Earth’s magnetic field, compass ‘dip’ 1820 Hans Christian Oersted finds that an electric current deflects a compass needle. 1820 Andre Marie Ampère finds that parallel wires carrying current produce forces on each other. 1820s, 1830s Michael Faraday develops the concept of electric field and shows that electric current + magnetism -> motion (motor effect) motion + magnetism -> electric current (electromagnetic induction) 1860s James Clerk Maxwell (1831-1879) establishes a mathematical description of electromagnetism.
  • 7. Motors everywhere lifts & escalators; fans, turbines, drills; wheelchairs; car windscreen wipers, starter motors, windows & side mirrors; motors in electric cars, locomotives & conveyor belts; industrial robots, saws and blades in cutting and slicing processes; food mixers & blenders, microwave ovens; hand power tools such as drills, sanders, routers; electric toothbrushes, shavers, hairdryers; vacuum cleaners, sound systems, computers … using electricity supplied by power station generators
  • 8. Field lines indicate both direction and magnitude (strength) of a magnetic field. They end at poles. A compass needle can be thought of as a test dipole. Magnetic flux density (‘field strength’) has symbol B, unit tesla. Describing a magnetic field Bar magnet
  • 9. Common misconceptions • All metals are magnetic materials. • Static charges interact with the poles of permanent magnets. • Magnetic poles are located on the surface of a magnet. [Careful observation shows that they are inside the magnet.]
  • 10. Magnetic poles: always pairs A permanent magnet can be split into two or more magnets, each with N and S poles which cannot be isolated. This suggests that the magnetic effect of a permanent magnet comes from microscopic, circulating electric currents.
  • 11. Electron spin, inside atoms, is the main cause of ferromagnetism. demagnetised magnetised Microscopic structure Domain theory
  • 12. Magnetising & demagnetising Make a magnet • by stroking • by using DC coil carrying current • by tapping while aligned with the Earth’s field Demagnetise a magnet • by dropping or banging randomly • by heating • by applying a diminishing AC current
  • 13. Magnetic induction A permanent magnet can induce temporary magnetism in a ‘soft’ magnetic material. • This causes attraction, but cannot cause repulsion. • Use repulsion to test if an object is already magnetised.
  • 14. Right hand screw rule, a.k.a. the ‘corkscrew’ or ‘pencil sharpener’ rule: Place thumb in direction of current; fingers indicate direction of the magnetic field. Magnetic field of a straight wire NB: Here field lines are closed loops.
  • 15. Magnetic field of a solenoid Right hand grip rule: Wrap fingers around solenoid in direction of current; thumb indicates N pole. N S
  • 17. A stronger electromagnet Length of a solenoid is L • Use iron or steel core (increasing permeability, ) • Increase the current, I • Increase wraps or turns of solenoid, N. I L N B  
  • 18. Uses of electromagnetism • loudspeaker • moving coil microphone • motors of various designs • electric bell or buzzer (can be made in class, URLS below) • moving coil galvanometer (ammeter) • relay (control circuit with small current switches a second, larger, current circuit) Practical Physics website: model buzzer, model electric bell
  • 19. Catapult effect Fleming’s left hand rule Force on a current-carrying wire in a B-field. Compare AC to DC.
  • 21. Westminster kit motor http://www.nuffieldfoundation.org/practical-physics/electric-motor Model loudspeaker http://www.nuffieldfoundation.org/practical-physics/model- loudspeaker Motors & loudspeakers homopolar motor
  • 22. Parallel currents parallel - attract anti-parallel - repel Force per unit length, at spacing r, F = moI1I2 2πr
  • 23. The ampere defined 1 ampere: the steady current which, when flowing in two straight parallel wires of infinite length and negligible cross- section, separated by a distance of one metre in free space, produces a force between the wires of 2 × 10-7 newtons per metre of length
  • 24. Electromagnetic induction (‘Dynamo effect’) Faraday’s law: Relative motion of a wire and a magnetic field will induce an e.m.f. (voltage). If there is a complete circuit, a current will be induced too. – magnet stationary, coil moves – coil stationary, magnet moves, – coil stationary, magnetic field lines changing Induced EMF is proportional to ‘the rate at which field lines are cut’. Lenz’s Law: The induced current always flows in such a direction as to oppose the change which causes it. Faraday’s Electromagnetic Lab phet.colorado.edu/en/simulation/faraday
  • 30. power in primary coil = power in secondary coil Ideal transformer IpVp = IsVs Is Ip = Vp Vs How a transformer works: micro.magnet.fsu.edu/electromag/java/transformer/index.html
  • 31.
  • 32. High voltage transmission Heating loss in a transmission cable: Keep current small by making voltage large. Grid voltages: 275 kV, 400 kV Model power line www.electrosound.co.uk R I IR I IV P 2 ) (   
  • 33. A sustainable energy future ‘… much more energy demand will be met through the electricity system and generation will be added both centrally and throughout the distribution system.’ ‘Turning [carbon] emissions reduction targets into reality will require more than political will: it will require nothing short of the biggest peacetime programme of change ever seen in the UK.’ (Royal Academy of Engineering report, March 2010, Generating the future) ‘Renewable generation, which by its nature will be widely distributed and mainly located in coastal and northern regions, will also require considerable investment in electrical supply system infrastructures both in terms of local distribution systems and the national grid.’ (Royal Academy of Engineering, July 2006, Energy seminars report)
  • 34. Safety Hazard with strongest rare earth (neodymium) magnets – swallow, shatter, pinch, interfere • keep away from (>1m) any person who uses medical aids like a pacemaker • only responsible students or yourself to handle largest ones, or more than one at a time • wear safety spectacles and protective gloves when handling two or more of the largest, most powerful magnets – risk of shattering or pinching • keep away from (>1m) electronic devices like computer monitors, credit cards and memory sticks
  • 35. Electromagnetism: a summary • The force, F, acting on charge q has two components: E, electric field due to stationary charge(s). B, magnetic field due to moving charge(s) - currents - with relative velocity v. • can be superposed e.g. E = E1 + E2 + … • electric & magnetic fields store energy • Maxwell’s equations: laws that describe the structure of the electromagnetic field. E and B fields can exist without a circuit and test magnetic dipole.   B v E q F   
  • 36. J. Clerk Maxwell (1865), ‘A Dynamical Theory of the Electromagnetic Field’ Phil. Trans. R. Soc. Lond. A changing electric field induces a changing magnetic field, and vice versa. It therefore makes sense to talk of an ‘electromagnetic field’. Electromagnetic waves propagate in free space at c = 3 x 108 m/s. E and B are always perpendicular to each other, and perpendicular to the direction of propagation. Electromagnetic waves
  • 37. Em fields are real ‘The electromagnetic field is, for the modern physicist, as real as the chair on which he sits.’ Einstein and Infeld, 1938
  • 38. Support, references talkphysics.org SPT 11-14 Electricity & magnetism David Sang (ed., 2011) Teaching secondary physics ASE / Hodder Practical Physics website: Electromagnetism topic http://www.nuffieldfoundation.org/practical-physics/electromagnetism PhET simulation Faraday’s Electromagnetic Lab