Self Inductance of a Cylindrical Current-Carrying Wire

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SUMMARY

The self-inductance of a solid cylindrical wire with radius R and a varying current density δ is a complex topic. The inductance per unit length is theoretically infinite without a return conductor. To achieve a realistic finite value, one must consider a coaxial cylindrical shell that carries the same current in the opposite direction. This configuration allows for the calculation of self-inductance by accounting for the magnetic field interactions between the solid cylinder and the return conductor.

PREREQUISITES
  • Understanding of electromagnetic theory, specifically inductance.
  • Familiarity with cylindrical coordinates and their applications in physics.
  • Knowledge of current density and its implications in electrical circuits.
  • Basic principles of magnetic fields and their interactions with conductors.
NEXT STEPS
  • Research the formula for self-inductance of cylindrical conductors.
  • Learn about the role of return conductors in electromagnetic systems.
  • Explore the concept of magnetic field lines around cylindrical wires.
  • Study the effects of varying current on inductance and magnetic fields.
USEFUL FOR

Physics students, electrical engineers, and anyone interested in the principles of electromagnetism and inductance in cylindrical conductors.

raghav singh
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Consider a solid cylinder of radius R. an varying current of current density δ flows through. what would be self inductance of that cylinder
 
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raghav singh said:
Consider a solid cylinder of radius R. an varying current of current density δ flows through. what would be self inductance of that cylinder

What is the context of the question? Is this for schoolwork?
 
I think the inductance per unit length is infinite. To get a realistic finite value you need to consider the 'return' conductor carrying the same current in the opposite direction. The easiest case is when this conductor is a cylindrical shell co-axial, but spaced apart from, the solid cylinder.
 

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