Magnetic field halfway between two parallel wires.

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SUMMARY

The magnetic field halfway between two parallel wires carrying currents of 16 A in the same direction is determined by the superposition of the magnetic fields produced by each wire. According to the right-hand rule, the magnetic field generated by each wire at the midpoint will be equal in magnitude but opposite in direction, resulting in a net magnetic field of zero at that point. This conclusion is based on the principles of electromagnetism and the symmetry of the configuration.

PREREQUISITES
  • Understanding of Ampère's Law
  • Familiarity with the right-hand rule for magnetic fields
  • Basic knowledge of magnetic field concepts
  • Ability to analyze symmetrical configurations in physics
NEXT STEPS
  • Study Ampère's Law and its applications in calculating magnetic fields
  • Learn about the right-hand rule and its use in determining magnetic field directions
  • Explore the concept of magnetic field superposition in multiple current-carrying conductors
  • Investigate the effects of varying current directions on magnetic field interactions
USEFUL FOR

Students studying electromagnetism, physics educators, and anyone interested in understanding the behavior of magnetic fields around current-carrying conductors.

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Homework Statement


two parallel wires 20 cm apart carry currents of 16 A in the same direction.what is the magnetic field halfway between them? why is this so?


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The Attempt at a Solution

 
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What are your thoughts on this?
 
Draw out the fields in a simple diagram and you will see you can take advantage of some symmetries.
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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