The Earth’s Magnetic Field

The objective of this lab is to measure the Earth’s magnetic field.

The Earth's magnetic field can crudely be represented as being generated by a large bar magnet located at the center of the Earth. The south pole of this magnet points generally towards the geographic north pole – hence the north pole of a compass needle is attracted to it and points north. Geomagnetic North is off from the Earth's Geographic North by approximately 11 degrees.

The magnitude of the Earth’s magnetic field is different in different places. It is so irregular that it must be measured in many places to get a satisfactory picture of its distribution. Magnetic inclination, I, (dip angle) is the angle between the horizontal plane and the total field vector, measured positive into Earth.
 
At the magnetic poles, a dip needle stands vertical (dip=90 degrees), the horizontal intensity is zero, and a compass does not show direction. At the north magnetic pole, the north end of the dip needle is down; at the south magnetic pole, the north end is up. At the magnetic equator the dip or inclination is zero. 
 
The strength of the magnetic field is strongest near the poles and weakest near the equator. The Earth's magnetic field intensity is roughly between 25,000 - 65,000 nT. The parameters describing the direction of the magnetic field are declination (D) and inclination (I). Magnetic declination is the angle between magnetic north and true north. D and I are measured in units of degrees, positive east for D and positive down for I. The intensity of the total field B can also be described by the horizontal component BH,
 a vertical component BV and the dip angle, f, as shown. 
 

Unlike the Earth's geographic equator, the magnetic equator is not fixed, but slowly changes. There is evidence that the Earth’s magnetic field is becoming weaker at an accelerating rate. There is also evidence that the poles flip.

For more information about the Earth’s Magnetic field you an also read the FAQ on the Earth’s magnetic field here: http://www.ngdc.noaa.gov/seg/geomag/

Earth Magnetic Field Pre-Lab

1. Here is some geomagnetic info generated by NOAA. You can generate this yourself by going to
http://www.ngdc.noaa.gov/seg/potfld/geomag.shtml and clicking on Magnetic Field Values. 
Enter in the zip code (95404 ) and the altitude (15ft) for SRJC. Here, the intensity of the total field (F) is described by the horizontal component (H), vertical component (Z), and the north (X) and east (Y) components of the horizontal intensity.
 

a) Determine BH and BV are the data given in the table. 
b) Using the above values verify the following: (be able to show your work):
 

 

2. We will be using a clever device to measure the Earth’s Magnetic Field.

We will use a circular loop to produce an external magnetic field.

By placing a compass in the loop, the needle will be deflected

by the external field produced by the loop, as shown. If the direction

of the magnetic field of the earth is Be and the external magnetic

field (generated by the loop) is Bi, the magnetic needle of a

compass will be directed toward B_S (the total magnetic field), as

shown in the vector diagram. By measuring q and calculating the

value of Bi {Bi = m₀NI/(2R)}, one can measure the horizontal

component of the Earth’s local magnetic field.

 
Solve this problem:
 

A 0.50A current flows through a circular loop with radius of 10 cm and 15 loops. a) Find the Magnetic field produced by the circular loop. b) The magnetic field produced by the circular loop is perpendicular to the horizontal component of the earth’s magnetic field and it deflects a compass needle 63 degrees from its neutral position. What is the value of the horizontal component of the Earth’s magnetic field? How does this compare with the value given above in the table? What is the percent difference?