Obtaining A(r) Using Ampere's Law: Question on a Past Paper

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The discussion focuses on obtaining the magnetic vector potential A(r) using Ampere's Law for a long straight wire of radius a carrying a uniform steady current I. The user successfully derived the magnetic field B but struggles to convert this to the magnetic vector potential A(r) at a distance r < a. The conversation highlights the relevance of magnetic potential in current physics, despite some opinions suggesting it is outdated.

PREREQUISITES
  • Understanding of Ampere's Law and its integral form
  • Knowledge of magnetic fields and vector potentials
  • Familiarity with the concept of steady currents in conductors
  • Basic principles of electromagnetism
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  • Research the derivation of magnetic vector potential A(r) in cylindrical coordinates
  • Study the relationship between magnetic field B and magnetic vector potential A
  • Explore applications of Ampere's Law in different geometries
  • Examine historical and modern uses of magnetic potential in physics
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Students studying electromagnetism, physics educators, and anyone preparing for exams involving Ampere's Law and magnetic vector potentials.

RyanBoulton
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Can anyone help me with this, i have done the first part, whereas i have obtained B using ampere's law. But changing it to A (magnetic vector potential) is proving to be tricky.

A long straight wire of radius a carries a uniform steady current I. Using the integral
form of Ampere's law, obtain an expression for the magnetic vector potential A(r)
at a distance r < a.

Cheers
 
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You should clarify what magnetic potential is, I mean, nowadays it is not used .

It may be similar to magnetic field B so keep on trying what you first did.

salutations
 
What do you mean that the magnetic potential is not used? Sure it is.

That said, this really needs to go into the homework section.
 

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