Magnetic flux between coaxial conductors

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SUMMARY

The discussion focuses on calculating the total magnetic flux enclosed within coaxial conductors, specifically an inner conductor of radius 'a' carrying a current 'I' and an outer conductor of radius 'b'. The relevant equation for magnetic flux density around a cylindrical conductor is B_(phi) = (μ₀ * I) / (2 * π * r). It is established that the outer conductor does not influence the magnetic flux density generated by the inner conductor, as it merely defines the region for flux calculation.

PREREQUISITES
  • Understanding of magnetic flux and magnetic fields
  • Familiarity with cylindrical coordinates
  • Knowledge of Ampère's Law
  • Basic principles of electromagnetism
NEXT STEPS
  • Study the application of Ampère's Law in coaxial systems
  • Explore the concept of magnetic field lines in cylindrical geometries
  • Learn about the effects of different conductor materials on magnetic flux
  • Investigate the implications of magnetic flux in electrical engineering applications
USEFUL FOR

Students and professionals in electrical engineering, particularly those focusing on electromagnetism and magnetic field analysis in coaxial conductor systems.

einarbmag
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Homework Statement


A coaxial conductor has the length L. The inner conductor of radius a carries a
current I in the z direction. The outer conductor is very thin and has the radius
b. Calculate the total magnetic flux enclosed within the conductors.


Homework Equations


Magnetic flux around a cylindrical conductor: B_(phi)=(mu_0)*I/(2*pi*r)


The Attempt at a Solution



The question really is whether the outer conductor does anything except determine the region where the flux is to be calculated. Is the outer conductor affected at all since the magnetic flux density from the inner conductor isn't changing, and does it then have any effect on the flux?
 
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einarbmag said:
and does it then have any effect on the flux?

Nope
 

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