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I am sorry for this late answer, but here we go:
In my high school students measure the magnitude of
the horizontal component of the earths magnetic field
by the following procedure:
1. Place a compass inside a coil with the coil pointing
in the east-west direction (no current !)
2. Apply a small current (with our apparatus 70 mA) to
the coil so that the compass needle is making 45
degrees with the north-south direction. The horizontal
geomagnetic force should then be equal to the magnetic
force from the coil.
Typical values we get are 3*10^(-5) T, which is not bad
according to tabulated values.