Magnetic Field of a rotating Cylinder

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SUMMARY

The discussion focuses on calculating the magnetic field inside an infinitely long charged metal cylinder rotating with an angular velocity (ω) and a linear charge density (ρ). The primary tool for solving this problem is Ampere's Law, which relates the magnetic field to the electric current. Participants emphasize the importance of applying the law correctly and encourage the use of a structured approach to reach a solution.

PREREQUISITES
  • Ampere's Law
  • Understanding of magnetic fields
  • Concept of charge density
  • Basic principles of electromagnetism
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  • Study the application of Ampere's Law in cylindrical coordinates
  • Research the effects of angular velocity on magnetic fields
  • Explore the concept of charge density in rotating systems
  • Learn about the magnetic field generated by rotating charged bodies
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Students and professionals in physics, electrical engineering, and anyone interested in electromagnetism and magnetic field calculations related to rotating systems.

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Homework Statement

.[/B]
Given an infinitely long charged metal cylinder that is rotating with an angular velocity ##\omega## The charge density per unit length is ##\rho##. Find the magnetic field within the cylinder.

I'm trying to solve this problem by using Ampere's Law. But couldn't reach anywhere, if anyone could give me some hints, that would be great.
Thanks.
 
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Hello AA, welcome to PF :smile: !

Well, you have a relevant equation then: Ampere's law. How does it read ?
Fill that in under 2. in the template and show us how far you can get under 3.: attempt at solution.

PF requires an effort and the template is mandatory. For good reasons. read the guidelines to find out why.
 
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