We
have seen previously that when a DC current pass through a long straight
conductor a magnetising force, H and a static magnetic field, B is developed
around the wire.
The magnetic flux developed around the coil being
proportional to the amount of current flowing in the coils windings as shown.
If additional layers of wire are wound upon the same coil with the same current
flowing through them, the static magnetic field strength would be increased.
Air-core Hollow
Coil
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But what if we reversed this idea by disconnecting the
electrical current from the coil and instead of a hollow core we placed a bar
magnet inside the core of the coil of wire. By moving this bar magnet “in” and
“out” of the coil a current would be induced into the coil by the physical
movement of the magnetic flux inside it.
Likewise, if we kept the bar magnet stationary and moved
the coil back and forth within the magnetic field an electric current would be
induced in the coil. Then by either moving the wire or changing the magnetic
field we can induce a voltage and current within the coil and this process is
known as Electromagnetic
Induction and is the
basic principal of operation of transformers, motors and generators.
Electromagnetic Induction was first discovered way back in the
1830’s by Michael Faraday.
Faraday noticed that when he moved a permanent magnet in and out of a coil or a
single loop of wire it induced an ElectroMotive Force or emf, in other
words a Voltage, and therefore a current was produced.
So what Michael Faraday discovered was a way of producing
an electrical current in a circuit by using only the force of a magnetic field
and not batteries. This then lead to a very important law linking electricity
with magnetism, Faraday’s
Law of Electromagnetic Induction. So how does this work?.
When the magnet shown below is moved “towards” the coil,
the pointer or needle of the Galvanometer, which is basically a very sensitive
centre zero’ed moving-coil ammeter, will deflect away from its centre position
in one direction only. When the magnet stops moving and is held stationary with
regards to the coil the needle of the galvanometer returns back to zero as
there is no physical movement of the magnetic field.
Likewise, when the magnet is moved “away” from the coil
in the other direction, the needle of the galvanometer deflects in the opposite
direction with regards to the first indicating a change in polarity. Then by
moving the magnet back and forth towards the coil the needle of the
galvanometer will deflect left or right, positive or negative, relative to the
directional motion of the magnet.
Electromagnetic Induction by a Moving Magnet
Likewise, if the magnet is now held stationary and ONLY
the coil is moved towards or away from the magnet the needle of the
galvanometer will also deflect in either direction. Then the action of moving a
coil or loop of wire through a magnetic field induces a voltage in the coil
with the magnitude of this induced voltage being proportional to the speed or
velocity of the movement.
Then we can see that the faster the movement of the
magnetic field the greater will be the induced emf or voltage in the coil, so
for Faraday’s law to hold true there must be “relative motion” or movement
between the coil and the magnetic field and either the magnetic field, the coil
or both can move.
Faraday’s
Law of Induction
From the above description we can say that a relationship
exists between an electrical voltage and a changing magnetic field to which
Michael Faraday’s famous law of electromagnetic induction states: “that a voltage is induced in a
circuit whenever relative motion exists between a conductor and a magnetic
field and that the magnitude of this voltage is proportional to the rate of
change of the flux”.
In other words, Electromagnetic
Induction is the process
of using magnetic fields to produce voltage, and in a closed circuit, a
current.
So how much voltage (emf) can be induced into the coil
using just magnetism. Well this is determined by the following 3 different
factors.
·
1). Increasing the number of turns of wire in
the coil – By increasing the amount of individual conductors cutting through
the magnetic field, the amount of induced emf produced will be the sum of all
the individual loops of the coil, so if there are 20 turns in the coil there
will be 20 times more induced emf than in one piece of wire.
·
2). Increasing the speed of the relative
motion between the coil and the magnet – If the same coil of wire passed
through the same magnetic field but its speed or velocity is increased, the
wire will cut the lines of flux at a faster rate so more induced emf would be
produced.
·
3). Increasing the strength of the magnetic
field – If the same coil of wire is moved at the same speed through a stronger
magnetic field, there will be more emf produced because there are more lines of
force to cut.
If we were able to move the magnet in the diagram above
in and out of the coil at a constant speed and distance without stopping we
would generate a continuously induced voltage that would alternate between one
positive polarity and a negative polarity producing an alternating or AC output
voltage and this is the basic principal of how a Generator works similar to those used in dynamos
and car alternators.
In small generators such as a bicycle dynamo, a small
permanent magnet is rotated by the action of the bicycle wheel inside a fixed
coil. Alternatively, an electromagnet powered by a fixed DC voltage can be made
to rotate inside a fixed coil, such as in large power generators producing in both
cases an alternating current.
Simple
Generator using Magnetic Induction
The simple dynamo type generator above consists of a
permanent magnet which rotates around a central shaft with a coil of wire
placed next to this rotating magnetic field. As the magnet spins, the magnetic
field around the top and bottom of the coil constantly changes between a north
and a south pole. This rotational movement of the magnetic field results in an
alternating emf being induced into the coil as defined by Faraday’s law of
electromagnetic induction.
The magnitude of the electromagnetic induction is
directly proportional to the flux density, β the number of
loops giving a total length of the conductor, l in meters and
the rate or velocity, ν at which the
magnetic field changes within the conductor in meters/second or m/s, giving by
the motional emf expression:
Faraday’s
Motional emf Expression
If the conductor does not move at right angles (90°) to
the magnetic field then the angle θ° will be added to the above expression
giving a reduced output as the angle increases:
Lenz’s
Law of Electromagnetic Induction
Faraday’s Law tells us that inducing a voltage into a
conductor can be done by either passing it through a magnetic field, or by
moving the magnetic field past the conductor and that if this conductor is part
of a closed circuit, an electric current will flow. This voltage is called an induced emf as it has been induced into the
conductor by a changing magnetic field due to electromagnetic induction with
the negative sign in Faraday’s law telling us the direction of the induced
current (or polarity of the induced emf).
But a changing magnetic flux produces a varying current
through the coil which itself will produce its own magnetic field as we saw in
the Electromagnets tutorial. This self-induced emf
opposes the change that is causing it and the faster the rate of change of
current the greater is the opposing emf. This self-induced emf will, by Lenz’s
law oppose the change in current in the coil and because of its direction this
self-induced emf is generally called a back-emf.
Lenz’s Law states that: ” the direction of an induced emf is
such that it will always opposes the change that is causing it”. In other words, an induced current
will always OPPOSE the motion or change which started the induced current in
the first place and this idea is found in the analysis of Inductance.
Likewise, if the magnetic flux is decreased then the induced
emf will oppose this decrease by generating and induced magnetic flux that adds
to the original flux.
Lenz’s law is one of the basic laws in electromagnetic
induction for determining the direction of flow of induced currents and is
related to the law of conservation of energy.
According to the law of conservation of energy which
states that the total amount of energy in the universe will always remain
constant as energy can not be created nor destroyed. Lenz’s law is derived from
Michael Faraday’s law of induction.
One final comment about Lenz’s Law regarding
electromagnetic induction. We now know that when a relative motion exists
between a conductor and a magnetic field, an emf is induced within the
conductor.
But the conductor may not actually be part of the coils
electrical circuit, but may be the coils iron core or some other metallic part
of the system, for example, a transformer. The induced emf within this metallic
part of the system causes a circulating current to flow around it and this type
of core current is known as an Eddy
Current.
Eddy currents generated by electromagnetic induction
circulate around the coils core or any connecting metallic components inside
the magnetic field because for the magnetic flux they are acting like a single
loop of wire. Eddy currents do not contribute anything towards the usefulness
of the system but instead they oppose the flow of the induced current by acting
like a negative force generating resistive heating and power loss within the
core. However, there are electromagnetic induction furnace applications in
which only eddy currents are used to heat and melt ferromagnetic metals.
Eddy
Currents Circulating in a Transformer
The changing magnetic flux
in the iron core of a transformer above will induce an emf, not only in the
primary and secondary windings, but also in the iron core. The iron core is a
good conductor, so the currents induced in a solid iron core will be large.
Furthermore, the eddy currents flow in a direction which, by Lenz’s law, acts
to weaken the flux created by the primary coil. Consequently, the current in
the primary coil required to produce a given B field is
increased, so the hysteresis curves are fatter along the H axis.
Eddy
current and hysteresis losses can not be eliminated completely, but they can be
greatly reduced. Instead of having a solid iron core as the magnetic core
material of the transformer or coil, the magnetic path is “laminated”.
These
laminations are very thin strips of insulated (usually with varnish) metal
joined together to produce a solid core. The laminations increase the
resistance of the iron-core thereby increasing the overall resistance to the
flow of the eddy currents, so the induced eddy current power-loss in the core
is reduced, and it is for this reason why the magnetic iron circuit of
transformers and electrical machines are all laminated.