Using the above pictured apparatus we experimentally determined the magnetic field of the Earth from our classroom.
Using what we know about the Biot-Savart Law we calculated the magnetic field for the coil using current, the number of coil turns, radius and the constant. We then used the relationship between the magnetic field of the earth and coil to determine the field. In order to determine this we used the deflection of the compass (in degrees) at a know current and solved for the magnetic field of the earth by dividing the magnetic field of the coil by tangent of theta. We graphed our results below (Magnetic Field of the Coil vs Tan(theta)).
Once we fit a linear line to this we knew that the slop of the data set would be the magnetic field of the earth which was about 1.055*10^-5 T.
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