Force on a Magnet - Current Carrying Wire

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SUMMARY

The discussion focuses on calculating the force on a bar magnet due to a long, straight wire carrying a current of 6 Amps. The magnet has a pole strength of 0.1 Wb and a magnetic length of 5 cm, positioned at distances of 2 cm and 6 cm from the wire. The relevant equations include F = BIl and B = μ₀I/2πR. The user seeks clarification on the correct application of these formulas to determine the force on each pole and the torque about the wire's axis.

PREREQUISITES
  • Understanding of magnetic fields and forces
  • Familiarity with Ampère's Law
  • Knowledge of torque calculations in physics
  • Basic proficiency in using the Biot-Savart Law
NEXT STEPS
  • Study the application of Ampère's Law in calculating magnetic forces
  • Learn about the Biot-Savart Law for magnetic field calculations
  • Investigate torque calculations for magnetic dipoles in external fields
  • Explore the relationship between current, magnetic field strength, and force on magnetic poles
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in electromagnetism, particularly in understanding the interactions between current-carrying wires and magnetic fields.

teme92
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Homework Statement



A bar magnet, with pole strength 0.1 Wb and magnetic length (i.e. distance between the poles) of 5 cm, is placed so that one pole is 2 cm and the other 6 cm from a long, straight wire carrying a current of 6 Amps. The magnet lies in a plane perpendicular to the wire. Find the force on each pole of the magnet (indicating its direction on a diagram). What is the torque on the magnet about the axis of the wire

Homework Equations



F=qvB
F=BIl
B=\mu0I/2\piR
\phi=BA

The Attempt at a Solution



So I said:

F=BIl and B=\mu0I/2\piR, therefore:

F=\mu0I2l/2\piR

In this formula is l the distance between the poles and R the distance the pole is from the wire? Any help would be much appreciated.
 
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Neither - afaict it's the wrong equation for the problem.
How do you determine the force on a magnetic pole due to a magnetic field?
 

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