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Chapter 24 – Electromagnetism *This handout follows the “Chapter 24 – Electromagnetism” PowerPoint file on my website.*
Section 24.1 – Magnetism – A Generalized View
There are two ends to any magnet: a __________________ and a
_____________________.
_____________________ and ___________________ share some
similar behavior, but they are not the same!
Since magnets have two poles, they are referred to as _____________________________.
o Fact: No magnetic monopole has ever been discovered… yet.
There are 3 main types of magnetic materials:
o __________________: These materials are very strongly attracted to magnets. It is also possible to
permanently magnetize these materials.
Examples: Iron, Cobalt, Nickle
o __________________: These materials are very weakly attracted to magnets, but cannot be made into a
permanent magnet.
Examples: Aluminum, Sodium. Tin
o __________________: These materials are very weakly repelled to magnets. Most materials fall under this
category.
Examples: Silicon, Chlorine, Copper
Section 24.2 – The Magnetic Field
A magnetic field of a magnet point away from the ____________ pole and toward
the ____________ pole.
Example 24.1 – Draw the Magnetic Field Lines
Draw the path of the magnetic field lines on the two magnetic dipoles using the space
below.
Section 24.3 – Magnetism – A Detailed View
So far, we can think about 3 things which behave quite
similarly:
o Gravitational Field: A Field of Presence created by
any object with _________________.
o Electric Field: A Field of Presence created by any
object with ____________________.
o Magnetic Field: A Field of Presence created by any
_____________________________.
This field propagates in a _______________ around the moving charge and has no beginning or end.
*ALL Magnetic Fields are created this way!*
Magnetism often requires a 3D perspective. So to
indicate field vectors or currents that are going into or
out of the page, we use _________ and __________.
Example 24.2 – Drawing the Magnetic Field of a Wire
Sketch the magnetic field of a long, current-carrying wire
with the current going into the paper. Draw the magnetic
field lines around the wire with the correct orientation.
Example 24.3 – What are the directions of the currents for the situations shown below?
The strength of magnetic fields are measured in ________________.
Equation #1: Magnetic Field Strength from a Current-Carrying Wire: _________________________
o is a constant and is equal to (does not need to be memorized)
Magnetic field strength and distance are _________________ proportional (
).
The Right Hand Rule for Fields only works for conventional current and the movement of positive charges, not
negative charges. We would simply us our _____________________ for negative charge movement.
How Can We Concentrate Magnetic Fields?
Imagine if you could have a loop which had a current going through it (not really possible).
Using the Right Hand Rule for Fields we would get the result indicated below.
Equation #2: Magnetic Field Strength at the Center of a Loop: _________________________
We can concentrate them even more by making multiple continuous loops as indicated below.
This coil of wire is called a ______________________.
Equation #3: Magnetic Field Strength at the Center of a Solenoid: _________________________
Example 24.4 – Current in a Solenoid
An investigator needs a uniform field, which she intends to produce with a solenoid. She takes a long
diameter tube and wraps wire along the length of it, wrapping turns of wire along a length of the tube. How
much current must she pass through the wire to produce the desired field?
How are Solenoids Like Permanent Magnets?
It was mentioned that magnetic fields can only be created using the Right Hand Rule of Fields. So how can a
permanent magnet exist when it is not hooked up to a current source???
Each atom's outer layer is made of ___________________________.
o Each of them will generate a magnetic field!
So in reality, just about everything has _________________________.
However, for most atoms, the net magnetic field is fairly close to ___________.
But, for _______________, _______________, & _______________, the multiple
magnetic fields actually agree with each other.
o This means every atom of these elements are, themselves, tiny
__________________________.
We can think of a single iron atom as being a tiny magnet indicated on the right.
𝑣
𝑣
𝑣
An arrow pointing in the direction of the net magnetic field direction
of an iron atom is call a magnetic ___________________.
Small concentrations of iron atoms which have similar facing
magnetic moments are called ___________________.
Most of the time, the net magnetic moment of a block of iron is
___________________ since the individual domains cancel out with each
other.
Why would any magnet attract to an unmagnetized piece of iron?
Even though not all of the domains in the unmagnetized piece of iron align with the permanent magnet, some of them
still do! This will cause a small attraction force.
How Would You Make a Permanent Magnet?
If you could force all the domains to align in the same direction, you would have a permanent magnet.
This can be achieved by applying a large enough current through a _____________________ wrapped around the
block of iron.
+ =
Section 24.5 – Electromagnetic Force
Since moving charges create their own magnetic field, it would make sense that if a moving charge was exposed to an
_______________ magnetic field, the interaction between the two magnetic fields would cause a ________________
to exist.
This force is always ____________________ to both the magnetic field line and motion of the charged particle.
How Can You Remember This?
We call this the ______________________________________________________________. Each finger stands for:
o Thumb: ____________________
o Index: ____________________
o Middle/Palm: ____________________
Equation #4: Electromagnetic Force: ___________________________
Unfortunately, this only works with positive charges. HOWEVER, you can work problems out with negative charges
simply by using your ___________________________ instead!
Example 24.5 – Constant Perpendicular Force
Suppose a particle with a charge was traveling at
through a magnetic field perpendicularly. What would be the particle’s
radius of curvature?
Since ________________ is simply moving charge within a wire, the same concept could be applied to current-
carrying wires.
Equation #5: ______________________
Example 24.6 – Levitating Wire
A DC power line near the equator runs east-west. At this location, the earth’s magnetic field is parallel to the ground,
points north, and has magnitude 50 T. A 400 m length of the heavy cable that spans the distance between two towers has
a mass of 1000 kg. What direction and magnitude of current would be necessary to offset the force of gravity and
“levitate” the wire?
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This would also make it possible for two different
current-carrying wires to exert ________________
on each other.
You would first have to solve for the magnetic field
strength of one, then solve for the force exerted on
the other.
Example 24.7 – Jumping a Car
You may have used a set of jumper cables connected to a running vehicle to start a car with a dead battery. Jumper cables
are a matched pair of wires, red and black, joined together along their length. Suppose we have a set of jumper cables in
which the two wires are separated by 1.2 cm along their 3.7 m (12 ft) length. While starting a car, the wires each carry a
current of 150 A, in opposite directions. What is the force between the two wires?
Section 24.7 – Motors/Generators
Since magnetic fields and currents can generate forces, they can also generate ______________ if allows to rotate
about a fixes axis.
Equation #6: Induced Torque: __________________________
o is the axis of the loop (or cross sectional area vector) which is perpendicular to the loop’s plane.
Motors are devices which convert
______________ energy into
__________________________ energy.
Generators are devices which convert
__________________________ energy into
______________ energy.
The beautiful thing about motors and generators is that they are _________________ compatible, mean that there is
no fundamental difference between them.
Equation #7: - Induced Voltage from a Generator: _______________________
o is electromotive force (or Voltage).
o is the number of coils in the generator.
o is the cross sectional area of the coil with the magnetic field.
o is the magnetic field strength (we assume it is uniform).
o is the angle between the normal vector to the area and the magnetic field.