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Part of Physics Achievement Standard
 2.6 – Demonstrate understanding of
      electricity and magnetism.
V                                        1 2
E           F  Eq    E p  Eqd     Ek      mv
     d                                        2

   q          E                                   E
I         V           V  IR      P  IV      P
   t           q                                    t

                      1  1  1
 Rt  R1  R2 ...         ...
                      Rt R1 R2


F  BIL(sin  )     F  Bqv      V  BvL
•   Where have you had experience with
    magnetism in life so far?
•   Permanent Magnets
•   Electromagnetism
•   Can a frog really levitate?
All permanent magnets have a north pole and a south
   pole. What will happen if we cut a bar magnet in
   half?
Opposite poles attract, like poles repel, just like
   charges in electricity.
The earth has a magnetic field, which is very
   important to protect the planet from dangerous
   radiation.
The Auroa (northern lights) is actually a result of the
   charged particles being channelled to the poles and
   colliding with the particles in the atmosphere.
Magnetic field lines are drawn in a similar way to
   electric field lines. They show the direction that
   a small north pole would move.
Field lines go from NORTH to SOUTH.




The force is stronger where the field lines are
closer together. Field lines never cross or meet.
Magnetic field lines can be visualised in two main
ways:
 Compass needles always line up with the
  magnetic field lines.
 Iron filings will become induced magnets and
  temporarily line up with field lines.
The Earth has a magnetic field,
  as though there is a large bar
  magnet inside the Earth.
Note that the geographic and the
  magnetic poles are different.
When we look at a compass, we
  read the needle pointing
  towards the North pole, so we
  assume that is the north end
  of the earth’s magnet.
But is the north end of the
  compass attracted to the
  north pole of a magnet?
Some metals are easily magnetised (e.g.
  iron). This means that the dipoles
  inside the metal are free to move
  around. When they feel a magnetic
  field around them the dipoles align
  and this causes the object to become
  a temporary magnet.

The method of induced magnetism is
  used to store most of the worlds
  information. Hard Disk Drives
  (HDDs) use temporary(ish)
  magnetism to store data. This is why
  you should never put your computer
  too close to a speaker.
Sometimes it is necessary for us to draw a current
  going into or out of the page. These are the
  symbols we use...
                     Magnetic Field Lines




      Current Into Page           Current Out Of Page
It turns out that there is a magnetic field that exists
    around the wire, depending on the direction of the
    current. The magnetic field circles the current.
So we can see that magnetism and electricity are
   linked in a very important way. It turns out
   that currents create circular magnetic fields
   around themselves.
The magnetic field created
can be found using the
right hand rule:
1. Your right thumb
   points in the direction
   of the current.
2. Your fingers will wrap
   in the direction of the
   magnetic field lines.
The symbol for magnetic field strength is B, with
  units NA-1m-1 , more commonly called Tesla, T.
A bit more about Tesla...
Solenoids are an example of an application of the
   magnetic field created by a current. There are three
   ways to increase the magnetic field produced by a
   solenoid:
1.  Increase the current.
2.  Increase the number of turns.
3.  Inserting an iron core.
There is a right hand rule for solenoids which can be
    used to find the direction of the magnetic field:
1.  Curl your fingers in the direction of the current
    through the coil.
2.  Your thumb points in the direction of north.
Below: The right hand solenoid rule.




Above: The magnetic field
produced by a solenoid.
Magnetic fields interact with each other when
    there is more than one in the same space.
This interaction results in a force.
Therefore, a wire carrying a current will
    experience a force when it is in a magnetic
    field.
This is how we turn electrical energy into kinetic
    energy – an electric motor!
It’s called the motor effect.
The direction of this force can be found using the
   Right Hand Slap rule:

Your thumb should point in
the direction of the current.
Your fingers should be in
the direction of the magnetic
field.
The direction of your “slap”
will show how the force will
act.
We are able to calculate the size of the force that the
   wire will feel by considering 3 factors that will
   have an effect on that force:
The size of the force depends on:
1.  The strength of the magnetic field, B
2.  The size of the current in the wire, I
3.  The length of the wire that is inside the magnetic
    field, L
This gives the equation: F = BIL
Note that in some instances, the wire and the field are
    not at right angles. These cases will introduce a
    factor of angle, making the equation F = BILsin(θ),
    where θ is the angle between the wire and the
    magnetic field. Note that θ will always be between
    0° and 90°.
The most important application of the motor
   effect is the DC motor. Approximately 85% of
   power generated is used to power DC Motors.

The DC motor
works by taking
advantage of the
motor effect to
make a loop of
wire turn.
Note that the split ring commutator is the main
   component that make the motor possible.
There are a number of ways to make the motor
   force more powerful:
1. Thicker wire to allow a bigger current

2. Insert an iron core to make the magnetic field
    larger
3. Put more than one coil on the loop.
The actual reason that the current feels a force when
   in a magnetic field is because a current is made up
   of moving charges. It is these charges that are
   feeling the force and making the wire move.
This means that a free charge moving through a
   magnetic field will also experience a force. This
   force will depend on:
1.  The magnetic field strength, B.
2.  The velocity of the charged particle, v.
3.  The size of the charge, q.
F = Bvq is the equation. Note that the charge must be
    moving in perpendicular direction.
What kind of path would a moving charge in a
    magnetic field follow?
We know that a charge must follow a circular
  path , unless we change the direction of the
  magnetic field. This is a direct consequence of
  the right hand “slap” rule.
(This is how old TV’s and Monitors work – they
  use a changing magnetic field to tell electrons
  exactly where to go.)
The circular path can be calculated with precision:
  remember the equation for force in a circular
  situation: F = mv2/r.
The forces are equivalent, so given the mass, we
  can find the radius, or vice versa.
A positron is the anti –
  matter equivalent of
                          One type of radiation is
  an electron. A
                            known to have a charge
  magnetic field is used
                            of +3.2x10-19C, and a
  to keep the positron
                            mass of 6.64x10-27 kg.
  contained. Calculate
  the size of B if r must Calculate the radius of it’s
  be at most 5cm, and       path in a magnetic field
  the positron is moving    of 1 Tesla if it is
  at 0.5c.                  travelling at 300ms-1
If (perchance) instead of sitting back and waiting
    for a current and magnetic field to interfere and
    cause a force on a wire, what if we gave the
    wire some force? What would this do?
You shouldn’t be too surprised to hear that this
    would cause a current to exist in the wire.
The free electrons in the wire feel a force on them,
    and all start moving in the direction of that
    force.
Electron movement (flow) = current!
We have just generated some electricity.
The movement of the wire in the magnetic field
  causes the current to flow in the wire – this induces
  a potential difference (voltage) in the wire.
The induced voltage is proportional to the velocity
  the wire is moving, the length of the wire in the
  magnetic field, and the magnetic field strength:
                     ������ = ������������������
Note that it could be the field moving instead of the
  wire, or even the field oscillating in strength to
  generate the voltage. As long as the field is
  changing somehow relative to the wire.
We could increase the size of the voltage/current
  generated by…
There is a right hand slap rule for the induced
   current:
Your thumb is in the direction of
the motion, your fingers in the
direction of the magnetic field,
and your slap shows the direction of the current.
This is the conventional current – electron flow
   would be the opposite way.
This is how electricity is generated around the
   world. Note that energy is conserved in this
   situation.
The diagram shows a
metal rod moving to
the right through a
magnetic field.

The induced current
in the rod flows as
shown.


If energy is to be conserved, then the mechanical work
done must equal the electrical energy generated.
Let the speed of the wire be v, and its effective length
L.
• Then the induced voltage is given by V = vBL.
• The electrical power is VI = vBLI.
• The force the magnetic field B makes on the current
I is given by F = BIL. This force opposes the motion.
• If the rod is to move at constant speed, then the
force sustaining the motion must be the same size,
BIL.
• Then mechanical power = F × v = BIL × v = vBLI
We see that the mechanical power put in equals the
electrical power produced and so energy is
conserved.
The alternating current generator is also known as an
alternator. In such a device, a coil rotates in a
magnetic field and a current is produced.
The current flows first in one direction, then the
other, then the first again, and so on.
Because it keeps reversing direction, the current is
known as alternating current (AC).
This is the most common type of electricity, because it
is much easier to use (in motors and almost all other
appliances) but it does have one major drawback.
Can you guess what the disadvantage is?
We learn a lot more about AC in year 13!

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Magnetism

  • 1. Part of Physics Achievement Standard 2.6 – Demonstrate understanding of electricity and magnetism.
  • 2. V 1 2 E F  Eq E p  Eqd Ek  mv d 2 q E E I V V  IR P  IV P t q t 1 1 1 Rt  R1  R2 ...   ... Rt R1 R2 F  BIL(sin  ) F  Bqv V  BvL
  • 3. Where have you had experience with magnetism in life so far? • Permanent Magnets • Electromagnetism • Can a frog really levitate?
  • 4. All permanent magnets have a north pole and a south pole. What will happen if we cut a bar magnet in half? Opposite poles attract, like poles repel, just like charges in electricity. The earth has a magnetic field, which is very important to protect the planet from dangerous radiation. The Auroa (northern lights) is actually a result of the charged particles being channelled to the poles and colliding with the particles in the atmosphere.
  • 5. Magnetic field lines are drawn in a similar way to electric field lines. They show the direction that a small north pole would move. Field lines go from NORTH to SOUTH. The force is stronger where the field lines are closer together. Field lines never cross or meet.
  • 6. Magnetic field lines can be visualised in two main ways:  Compass needles always line up with the magnetic field lines.  Iron filings will become induced magnets and temporarily line up with field lines.
  • 7. The Earth has a magnetic field, as though there is a large bar magnet inside the Earth. Note that the geographic and the magnetic poles are different. When we look at a compass, we read the needle pointing towards the North pole, so we assume that is the north end of the earth’s magnet. But is the north end of the compass attracted to the north pole of a magnet?
  • 8. Some metals are easily magnetised (e.g. iron). This means that the dipoles inside the metal are free to move around. When they feel a magnetic field around them the dipoles align and this causes the object to become a temporary magnet. The method of induced magnetism is used to store most of the worlds information. Hard Disk Drives (HDDs) use temporary(ish) magnetism to store data. This is why you should never put your computer too close to a speaker.
  • 9.
  • 10. Sometimes it is necessary for us to draw a current going into or out of the page. These are the symbols we use... Magnetic Field Lines Current Into Page Current Out Of Page It turns out that there is a magnetic field that exists around the wire, depending on the direction of the current. The magnetic field circles the current.
  • 11. So we can see that magnetism and electricity are linked in a very important way. It turns out that currents create circular magnetic fields around themselves. The magnetic field created can be found using the right hand rule: 1. Your right thumb points in the direction of the current. 2. Your fingers will wrap in the direction of the magnetic field lines.
  • 12. The symbol for magnetic field strength is B, with units NA-1m-1 , more commonly called Tesla, T. A bit more about Tesla...
  • 13. Solenoids are an example of an application of the magnetic field created by a current. There are three ways to increase the magnetic field produced by a solenoid: 1. Increase the current. 2. Increase the number of turns. 3. Inserting an iron core. There is a right hand rule for solenoids which can be used to find the direction of the magnetic field: 1. Curl your fingers in the direction of the current through the coil. 2. Your thumb points in the direction of north.
  • 14. Below: The right hand solenoid rule. Above: The magnetic field produced by a solenoid.
  • 15. Magnetic fields interact with each other when there is more than one in the same space. This interaction results in a force. Therefore, a wire carrying a current will experience a force when it is in a magnetic field. This is how we turn electrical energy into kinetic energy – an electric motor! It’s called the motor effect.
  • 16. The direction of this force can be found using the Right Hand Slap rule: Your thumb should point in the direction of the current. Your fingers should be in the direction of the magnetic field. The direction of your “slap” will show how the force will act.
  • 17. We are able to calculate the size of the force that the wire will feel by considering 3 factors that will have an effect on that force: The size of the force depends on: 1. The strength of the magnetic field, B 2. The size of the current in the wire, I 3. The length of the wire that is inside the magnetic field, L This gives the equation: F = BIL Note that in some instances, the wire and the field are not at right angles. These cases will introduce a factor of angle, making the equation F = BILsin(θ), where θ is the angle between the wire and the magnetic field. Note that θ will always be between 0° and 90°.
  • 18. The most important application of the motor effect is the DC motor. Approximately 85% of power generated is used to power DC Motors. The DC motor works by taking advantage of the motor effect to make a loop of wire turn.
  • 19.
  • 20. Note that the split ring commutator is the main component that make the motor possible. There are a number of ways to make the motor force more powerful: 1. Thicker wire to allow a bigger current 2. Insert an iron core to make the magnetic field larger 3. Put more than one coil on the loop.
  • 21. The actual reason that the current feels a force when in a magnetic field is because a current is made up of moving charges. It is these charges that are feeling the force and making the wire move. This means that a free charge moving through a magnetic field will also experience a force. This force will depend on: 1. The magnetic field strength, B. 2. The velocity of the charged particle, v. 3. The size of the charge, q. F = Bvq is the equation. Note that the charge must be moving in perpendicular direction. What kind of path would a moving charge in a magnetic field follow?
  • 22. We know that a charge must follow a circular path , unless we change the direction of the magnetic field. This is a direct consequence of the right hand “slap” rule. (This is how old TV’s and Monitors work – they use a changing magnetic field to tell electrons exactly where to go.) The circular path can be calculated with precision: remember the equation for force in a circular situation: F = mv2/r. The forces are equivalent, so given the mass, we can find the radius, or vice versa.
  • 23. A positron is the anti – matter equivalent of One type of radiation is an electron. A known to have a charge magnetic field is used of +3.2x10-19C, and a to keep the positron mass of 6.64x10-27 kg. contained. Calculate the size of B if r must Calculate the radius of it’s be at most 5cm, and path in a magnetic field the positron is moving of 1 Tesla if it is at 0.5c. travelling at 300ms-1
  • 24. If (perchance) instead of sitting back and waiting for a current and magnetic field to interfere and cause a force on a wire, what if we gave the wire some force? What would this do? You shouldn’t be too surprised to hear that this would cause a current to exist in the wire. The free electrons in the wire feel a force on them, and all start moving in the direction of that force. Electron movement (flow) = current! We have just generated some electricity.
  • 25. The movement of the wire in the magnetic field causes the current to flow in the wire – this induces a potential difference (voltage) in the wire. The induced voltage is proportional to the velocity the wire is moving, the length of the wire in the magnetic field, and the magnetic field strength: ������ = ������������������ Note that it could be the field moving instead of the wire, or even the field oscillating in strength to generate the voltage. As long as the field is changing somehow relative to the wire. We could increase the size of the voltage/current generated by…
  • 26. There is a right hand slap rule for the induced current: Your thumb is in the direction of the motion, your fingers in the direction of the magnetic field, and your slap shows the direction of the current. This is the conventional current – electron flow would be the opposite way. This is how electricity is generated around the world. Note that energy is conserved in this situation.
  • 27. The diagram shows a metal rod moving to the right through a magnetic field. The induced current in the rod flows as shown. If energy is to be conserved, then the mechanical work done must equal the electrical energy generated.
  • 28. Let the speed of the wire be v, and its effective length L. • Then the induced voltage is given by V = vBL. • The electrical power is VI = vBLI. • The force the magnetic field B makes on the current I is given by F = BIL. This force opposes the motion. • If the rod is to move at constant speed, then the force sustaining the motion must be the same size, BIL. • Then mechanical power = F × v = BIL × v = vBLI We see that the mechanical power put in equals the electrical power produced and so energy is conserved.
  • 29. The alternating current generator is also known as an alternator. In such a device, a coil rotates in a magnetic field and a current is produced. The current flows first in one direction, then the other, then the first again, and so on. Because it keeps reversing direction, the current is known as alternating current (AC). This is the most common type of electricity, because it is much easier to use (in motors and almost all other appliances) but it does have one major drawback. Can you guess what the disadvantage is? We learn a lot more about AC in year 13!