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PHY 101 Lecture #11 Electromagnetic Generators and Transformers
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PHY 101 Lecture #11:Electromagnetic
Motors and GeneratorsProf. Peter R. Saulson
[email protected]://physics.syr.edu/courses/PHY101/
Off. Hrs: Tue 9:30 –11:00, Physics 263-4Prof. Schwarz’s Problem Sessions:
Mon and Tues, 5:15 – 6:15, Physics 202/204
PHY 101 Lecture #11 Electromagnetic Generators and Transformers
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Outline
1. Electric Motor2. Magnetic Induction3. Electrical Generator
Direct Current or DC generator4. Alternating Current
AC generator
PHY 101 Lecture #11 Electromagnetic Generators and Transformers
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1. Electric Motor
Force on current in B field means that electric energy can be turned into mechanical energy.
Current goes around coil, in B field of fixed magnet.
Right hand rule says one side of coil forced up, other side forced down.ROTATION!
PHY 101 Lecture #11 Electromagnetic Generators and Transformers
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Real Electric Motor
Practical device: electric motor.Key parts:
– magnet (permanent or electromagnet)– rotatable coil (rotor)– connections to ensure current goes to coil always
in the “right” way– electrical energy input (battery)– mechanical energy output (shaft)
PHY 101 Lecture #11 Electromagnetic Generators and Transformers
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Making current go the “right” way
If coil just hooked to battery, coil would just twist to “no-force” position.
Clever parts:BrushesSplit-ring commutator
Brushes make sliding contact (no twisting up!)Commutator changes direction of current just as
coil lines up in “happiest” orientation.Coil needs to flip, but then current reverses
again, ...PHY 101 Lecture #11 Electromagnetic Generators and
Transformers6
Energy in, energy out
It takes electrical power to keep current flowing in coil.
Mechanical power can be extracted from rotating shaft.
Examples: – Let string wind up around shaft, lifting weight.– Turn the wheels of a car.
Motor is a device whose job is energy transformation.
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PHY 101 Lecture #11 Electromagnetic Generators and Transformers
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2. Magnetic induction
Electric motor converts electrical energy into mechanical energy.
Can we make electrical energy from mechanical energy, using magnets and wire? Yes!
Key idea: Induction of current from changing magnetic flux.
Governing equation:Faraday’s Law
PHY 101 Lecture #11 Electromagnetic Generators and Transformers
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Observation of magnetic induction
Consider circuit with just coil of wire and ammeter. (Coil has some resistance.)
Move a magnet near the coil.Current flows whenever magnet moves.(No current when magnet is still.)Big current when:
Magnet moves fast.Magnet is close.Coil has many turns.
PHY 101 Lecture #11 Electromagnetic Generators and Transformers
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Magnetic flux
Magnetic flux is the key quantity for induction.Consider coil with area A and N turns of wire.If magnetic field B fills the coil, then the
flux ΦΒ is
(Note: B must be perpendicular to coil. If not, use strength of B that is perpendicular to coil.)
.NBAΦB =
PHY 101 Lecture #11 Electromagnetic Generators and Transformers
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Strength of voltage induced by moving magnet
Voltage in circuit comes from change in flux through the coil.
The strength of the voltage (“induced electromotive force” or “emf”) is given by Faraday’s Law:
or in words, “Induced emf equals rate of change of magnetic flux.”
,tΦV B
induced ΔΔ
=
PHY 101 Lecture #11 Electromagnetic Generators and Transformers
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What has to move?
Induced emf depends only on the rate of change of magnetic flux.
Can equally wellmove magnet,move coil,turn magnet,or turn coil.
PHY 101 Lecture #11 Electromagnetic Generators and Transformers
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3. Electrical Generators
Magnetic induction means that mechanical energy can be turned into electrical energy.
Practical device: electrical generator.Key parts:
– magnet (permanent or electromagnet)– rotatable coil (rotor)– connections to ensure current comes from coil
always in the “right” way– mechanical energy input– electrical energy output
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PHY 101 Lecture #11 Electromagnetic Generators and Transformers
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Generator is motor run backwards
Motor, generator parts are almost all the same.Input and output are reversed.
Apply mechanical energy to rotor (e.g. turn it by hand), and voltage is generated in coil.
Flux grows, then shrinks, as coil turns in B field.Just as flux would grow with opposite sign,
commutator switches contacts -- voltage out always has the same sign.
“Direct current”, or DC.
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Investigations with an oscilloscope
An oscilloscope is a way to study voltages that may change with time.
It plots a graph of voltage vs. time, V(t).The voltage scales and time scales are
adjustable, to enable the graph to be clearly read.
We can use it to look at V(t) out of a DC generator.
PHY 101 Lecture #11 Electromagnetic Generators and Transformers
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“DC” from a generator isn’t steady!
As the coil turns between the poles, there are points in the cycle when flux is changing rapidly, other places where it doesn’t change at all.
Like a sine function, but “folded” so that it is always positive.
.tΦV B
induced ΔΔ
=
PHY 101 Lecture #11 Electromagnetic Generators and Transformers
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Capacitor helps make V(t)more constant
Put a large capacitor between the output terminals of the DC generator.
The bumps in V(t) smooth out. Why?
Charge is stored on the plates of the capacitor.It doesn’t all get to leak off before another cycle
starts. Hence, variations get smoothed out.
This is an example of a filter.
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Generator transforms mechanical power into electrical power
Attach electrical load to generator, to use electrical energy.Light a bulb, turn a motor, …
Electrical energy comes from mechanical energy that turns the generator.
You can feel the power you supply.Compare how hard it is to turn generator,
with light bulb attached vs. without bulb.Generator needs mechanical power input.
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4. AC generator is even simpler
Split-ring commutator means voltage always has the same sign (current always same direction.)
We could replace commutator with slip rings. Each brush always touches same end of coil.
As coil turns, flux through coil changes sign.Induced voltage alternates sign.“Alternating current” or AC.