Lab 5_ Earth's Magnetic Field (Emma Born)
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Course
50
Subject
Geology
Date
Dec 6, 2023
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16
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Name: Emma Born
Lab Section:
EPS 50: Fall 2022
LAB 5: EARTH’S MAGNETIC FIELD
Due one week from today
at the start of your lab section
Introduction
The Earth's magnetic field is one of the most important properties of this planet. Studies in
the 1960s of the Earth's magnetic field and magnetic anomalies led to the discovery of plate
tectonics, which is one of the most important theories about Earth's dynamics. Earth's
magnetic field also shields us from most cosmic radiation from space. In some ways, Earth’s
magnetic field behaves in the same way that magnetic fields on ordinary magnets behave. In
this lab we will be exploring some of the properties and effects of Earth's magnetic field.
1. Magnetic Field Lines
Magnetic fields are produced by moving charged particles. Magnetic field lines describe the
structure of a magnetic field in three dimensions. If we place an ideal compass needle free to
turn in any direction (unlike the usual compass needle, which stays horizontal) on any point on
a magnetic field line, then the needle will always point along that field line.
Field lines converge where the magnetic force is strong, and spread out where it is weak. For
instance, in a compact bar magnet (which approximates a dipole), field lines spread out from
one pole and converge towards the other. In other words, the field lines are closest together
at the poles, where the magnetic force is strongest. This is very similar to the behavior of field
lines in the Earth's magnetic field.
Magnetic field lines:
●
never cross.
●
point from the North to the South magnetic poles.
●
must always connect in continuous loops (no magnetic monopoles).
●
are closer together where the magnetic field is stronger.
1) Place your compass in the bar magnet’s magnetic field in each spot indicated by
the circles below. In each circle, draw an arrow showing where the north arrow on
the compass is pointing (showing the field direction) (12 pts)
With a group, get a bar magnet, a sheet of paper, iron filings, and a compass. Place the
paper over the bar magnet and carefully sprinkle the iron filings on the paper (near the
magnet) until a distinct pattern emerges. The iron filings should align with the magnetic field.
2) In the space below:
a)
Draw the orientation of the magnet (label N-S) and iron filings (4 pts)
b)
Draw magnetic field lines, showing the field direction with arrowheads (5 pts)
2
3)
Where along the bar magnet is the magnetic field strongest? (It may be helpful to
refer to your sketch in Question 2) (3 pts)
The magnetic field is strongest at the dipoles. We know this because there is a higher density of
filings (and thus a higher density of magnetic field lines) at the poles.
Align the north end of a bar magnet a few cm from the south end of another bar magnet.
Place a piece of paper over the two magnets and sprinkle iron filings in the region between
the magnets.
4)
In the space below:
a)
Draw the orientation of the magnets (label N-S) and iron filings (4 pts)
b) Draw and add arrowheads to field lines between the magnets, showing the
direction of the magnetic field (confirm with your compass) (5 pts)
5) What would ideal field lines look like INSIDE a bar magnet (i.e., in which direction
do they point)? Draw a bar magnet (N-S) and magnetic field lines outside AND inside
the magnet, labeling with arrows to show the field direction. (3 pts)
3
2. Earth's Magnetic Field
Earth’s magnetic field, shown as if a giant bar magnet were placed at the Earth’s
center and slightly inclined (11°) from Earth’s rotation axis.
A
magnetic dipole field
is the field produced by a north
magnetic pole and a south magnetic pole in close proximity.
The above figure shows an idealized dipole field for Earth.
The magnetic field lines show the direction of the magnetic
field and presently point to the north magnetic pole.
There
is
something
surprising
about
this
fictitious
bar
magnet in Earth:
Its
south
(negative) pole lies at Earth’s
north magnetic pole
, or “magnetic north.”
You can see
why this must be so by considering that, in the absence of
any significant magnetic fields other than the Earth’s, the
north
end
of
a
compass
needle
points
toward
Earth’s
magnetic north, which is in the general direction of the
geographic North Pole.
However, the magnetic pole is not located at the same
exact position as the North Pole.
Declination
is the angle between magnetic north (the
4
direction in which a compass needle points) and true north (the north geographic pole). It is
often noted on maps, and also
changes in space and time
depending on where magnetic
north is. The figure above shows an example of magnetic declination, showing a compass
needle with an "easterly" variation from geographic north. N
g
is geographic or true north, N
m
is
magnetic north, and δ is magnetic declination.
6) Illustrate a declination of 17°W on the compass below. Label geographic north
(
N
g
)
, magnetic north (
N
m
)
, and the angle between them (δ). (5 pts)
Magnetic Inclination
In general, the magnetic field lines of Earth are not parallel with the surface of the planet
(except at the equator), and dip into or out of the Earth at a certain angle based on magnetic
latitude. The angle between the magnetic field and the horizontal is called
inclination (
i
)
,
which is positive (+) when the field lines point into the ground, and negative (-) when the field
lines
point
out of the ground. Magnetic inclination varies from
90° (perpendicular to
surface) at the magnetic poles to 0° (parallel to surface)
at the magnetic equator.
The relationship between inclination and latitude for a magnetic dipole is given by:
tan(
i
) = 2tan(
ϴ
)
This means that for a location on an Earth with an ideal dipole field, if you know the magnetic
latitude (
ϴ
) you can find the inclination (i), and vice versa.
7) Use the figure below to complete the table:
a) Find the latitude of points A, B, C, D, and E by measuring the angle between
5
the magnetic equator (thick black line) and a line that connects the middle of
the bar magnet to the point on the surface (A line is already sketched) (5 pts)
b) Measure the magnetic inclination angle (
i
) at each point using a protractor.
For a given latitude, the inclination is the angle between a line tangent (flat) to
the Earth’s surface and a line tangent to the field line that intersects the
surface. Make sure to record the appropriate sign (+,-) for inclination (5 pts)
A
B
C
D
E
Latitude (
ϴ
)
Measured Inclination (i
x
)
Theoretical Inclination (i)
6
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