Solving Ampere's Law Trouble: My Mistake in Calculating B?

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SUMMARY

The discussion centers on the application of Ampere's Law in calculating the magnetic field (B) around a current-carrying wire. It is established that while the magnetic field's direction changes, its magnitude remains constant within a fixed rectangle. Furthermore, it is clarified that for a long straight wire, the magnetic field (B) is inversely proportional to the distance (r) from the wire, emphasizing the importance of understanding this relationship in electromagnetic theory.

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  • Understanding of Ampere's Law
  • Knowledge of magnetic fields and their properties
  • Familiarity with the concept of current-carrying wires
  • Basic grasp of inverse proportionality in physics
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giladsof
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Where is my mistake? I have a feeling it's in the calculation of B... ?
 
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Do you mean that B is constant inside the rectangle?

ehild
 
It's a given that the rectangle is fixed to the ground..

So apart from the fact that the magnetic field in it changes direction all the time, B's size is constant
 
So you say that the magnetic field of a current carrying wire does not depend on the distance from the wire?

ehild
 
For a long straight wire, B is proportional to 1/r.
 

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