Measuring the strength of the earths magnetic feild using the slope of a graph

AI Thread Summary
To measure the strength of the Earth's magnetic field, a graph of magnetic field strength (B) versus the tangent of the angle of deflection (tan theta) is created based on current flowing through a wire. The needle's deflection indicates the magnetic field's influence, and various current strengths are tested to record angles of deflection. The slope of the resulting graph can be used to calculate the Earth's magnetic field strength in microteslas. Formulas relating magnetic field strength to needle deflection and current in the wire are essential for this calculation. A good understanding of these relationships is crucial for accurate measurements.
peyo
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Hi, Kinda new here so here goes.

I have been asked to drawn a graph B(magnetic field) vs Tan theata and find its slope, ok no problem there. The next question has asked me to use the value of the slope to obtain the value of the strength of the Earth's magnetic field in the region :eek:.

The context of the question is this:

There is a wire running north south along the Earth's magnetic field, 1cm above the wire is a needle that points to magnetic north when there is no current running along the wire. When current flows through the wire (northward) the needle deflects to the east, various different strength currents are passed through the wire and the angle of defection is recorded in a table along with the strength of the field in (microT), this table is then graphed and the slope obtained.

All that has been done, I've read the rulles and am not really looking for an answer more a method as I am drawing a blank. Any help would be greatly appreciated.


cheers
 
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Welcome to the forum. To do this problem you need to find a formula that relates the strength of a magnetic field to the deflection of a magnetic needle. You also need a formula to connect the current in a wire to the magnetic field strength around the wire. From your experiment, you can now work out how much current it takes to reverse the deflection caused by the Earth's field, and hence the strength of that field.
 
Yeap, that's great! thankyou very much for the nudge:) somr times a good nights sleep and a friendly hint is what I need. I will be visiting here often.

cheers
 
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