Ampere's swimming rule about magnetic field around a current carrying conductor

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SUMMARY

Ampere's swimming rule states that when current flows along the z-axis, a magnetic field is generated in the XY plane. A compass placed in the XY plane will respond to this magnetic field, aligning itself according to the force experienced. Conversely, a compass positioned vertically along the z-axis will only rotate if it is free to align with the magnetic field in its plane of rotation. If the magnetic field lines are perpendicular to its plane, the compass will remain stationary and will not rotate.

PREREQUISITES
  • Understanding of Ampere's law
  • Basic knowledge of magnetic fields
  • Familiarity with compass behavior in magnetic fields
  • Concept of planes in three-dimensional space
NEXT STEPS
  • Study Ampere's law in detail
  • Explore the properties of magnetic fields generated by current-carrying conductors
  • Investigate the behavior of compasses in varying magnetic field orientations
  • Learn about the right-hand rule for determining magnetic field direction
USEFUL FOR

Students of physics, educators teaching electromagnetism, and anyone interested in the principles of magnetism and electrical currents.

manjuvenamma
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We know that if current is flowing in the direction of z-axis (verical), magnetic field is formed in a plance perpendicular to that line i.e., in the XY plane. That is if you keep a compass in the XY plane it will experience a force as per the rule. But what will happen to a compass that is placed vertically i.e. along the z axis?
 
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Depends on which plane it is free to rotate in. If it can align itself along the magnetic field in that plane, it will rotate and do so. If magnetic field lines are perpendicular to that plane, it cannot align itself with them, so it won't rotate.
 

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