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

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SUMMARY

The discussion focuses on measuring the strength of the Earth's magnetic field using a graph of magnetic field strength (B) versus the tangent of the deflection angle (tan θ). The experiment involves a wire running north-south, with a magnetic needle positioned above it. As current flows through the wire, the needle deflects, and the relationship between the current and the magnetic field strength is established through the slope of the graph. Participants emphasize the need for formulas that connect current to magnetic field strength and the deflection of the needle to accurately determine the Earth's magnetic field strength.

PREREQUISITES
  • Understanding of magnetic field concepts
  • Familiarity with graphing techniques
  • Knowledge of current flow in wires and its magnetic effects
  • Basic trigonometry, specifically tangent functions
NEXT STEPS
  • Research the Biot-Savart Law to understand the relationship between current and magnetic field strength
  • Learn about the formula for calculating the magnetic field around a straight conductor
  • Explore methods for graphing and analyzing linear relationships in physics experiments
  • Investigate the principles of magnetic deflection and its applications in measuring magnetic fields
USEFUL FOR

Students in physics, educators teaching electromagnetism, and researchers interested in experimental methods for measuring magnetic fields will benefit from this discussion.

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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