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BIG IDEAS electromagnetism
onlinephys.com 2011
1) Electric field produced by charges
A distribution of charge creates an electric field in the space around it. A charge in the electric field “ feels” the field and speeds up. It is acted
up my an electric force. F = q E. A positive charge moves from a high potential to a low potential = high voltage to low voltage.
A charge places inside
Will accelerate. Example: electrons in a cathod tube
Speed up from – to +.
-
battery
+
2) A permanent magnet creates a magnetic field.
The magnetic field comes out the North and in the South pole. A compass can “ feel” the field. (magnetic force) but not a charge at rest.
We can use iron filing
To map the field. The little pieces of
Iron get magnetized and behave like
Tiny compasses.
3) A direct current creates a magnetic field. (constant)
Current in wire produced a magnetic field in the space around. If the wire in coiled to form loops, the magnetic field is like the ones produced
by a bar magnet. The coil becomes An electromagnet with a North and South poles!!
N
S
Application: - electromagnet. A coil with an iron core inside behaves like a bar magnet
4)Faraday's law of induction
A changing magnetic field (moving a magnet in a coil) induces an alternative current. This is how we produce electricity.
application:transformator
Step up voltage or step down.
Transformator : alternative current (1A) in 1 coil (voltage 12V) creates a changing
Magnetic field that, guided by the iron square, induces an alternative current
In the second coil (more loops). The alternative current is less and the voltage
Stepped up such as the energy is conserved : u1 I1 = u2I2
U1=12V
I1=1 A
Power=12W
to
U2= 24A
i2= 0.4A
power= 12W
5)Lenz law: induced current
The induced current opposes the cause that gave rise to it.
You induce a current in the loop. The induced current creates a magnetic field that
Try to repel the magnet when it is going in and attract it when the magnet is going out.
6) A moving charge feels a magnetic field. (seen above)
A magnetic field (from magnet or electromagnet) has no effect on a charge at rest. (electron, proton, ions .. ).
But a magnetic field applies a force on a moving charge if the charge move in a direction perpendicular to the magnetic field.
The force produced is perpendicular to both the field and the velocity.
If a proton (+) or an electron (-)
Enters a region with a magnetic field (B)
(in the paper here ) with an initial
Velocity V (green) then the charge
Is acted upon by a force (blue).
The charge move in circular motion.
The force in a centripetal force.
The charge does not speed up.
The force is down, the
Field is @ right
Charge (current) in paper
.
A current (moving charges) feels
a force in a magnetic field.
The force is perpendicular
to the current and magnetic field.
Application:
Electric motor
7) electromagnetic wave
A changing electric field (produced for example by an alternative current) produces a changing magnetic field that induce
In space a changing electric field that induce a changing magnetic field... this is an EM wave. The speed is c
8) equations of Maxwell = unification of magnetism and electricity
Faraday's law of induction. A changing magnetic field (H) induces an electric
Field (E) or alternative current.
Ampere's law completed by Maxwell. A direct current (J) creates a magnetic field.
A changing electric field. creates a changing magnetic field. Even in space, in
Absence of wire. That's what makes light. Auto generating E and B.
Gauss's law. A distribution of charge creates an electric field in space. The lines
Don't make close loop.
Magnetic field make loop. They leave the north pole and come back into the south pole
Back into the North. You can't single out a pole . You can single out a charge.
Playing with the equations, Maxwell found the speed of light C 93 108 m/s).
When we compute the electric field, and the electric force between charges, we include a parameter Ke=910 9
For example: electric field from a point charge=E=ke q / d2
When we compute the magneic field we include a parameter Km = 10 -7
magnetic field produced by a wire =B=Km 2I/d
if you compute the ratio Ke/Km amazingly you get
9 1016 (m/s)2 which is the square of the speed of light !!!!