Does the electric field change due to rotation

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SUMMARY

The discussion centers on the behavior of the electric field generated by a rotating ring of charge. When the ring spins, it creates a current, which indicates the presence of an electric field around it. According to Gauss's Law, the electric field remains constant in magnitude when the ring rotates at a constant velocity, as the enclosed charge does not change. However, if the rotational velocity varies, the changing magnetic field induces a corresponding change in the electric field, which combines linearly with the existing electric field from the charge distribution. The direction of the electric field lines is dependent on the observer's frame of reference.

PREREQUISITES
  • Understanding of Gauss's Law in electrostatics
  • Knowledge of electric and magnetic fields
  • Familiarity with the concept of current and charge distribution
  • Basic principles of electromagnetism, particularly Faraday's Law of Induction
NEXT STEPS
  • Study the implications of Gauss's Law on electric fields in dynamic systems
  • Explore the relationship between electric fields and magnetic fields using Maxwell's equations
  • Investigate the effects of varying rotational velocities on induced electric fields
  • Learn about the Lorentz force and its impact on charged particles in electric and magnetic fields
USEFUL FOR

Physicists, electrical engineers, and students studying electromagnetism who seek to understand the dynamics of electric fields in rotating charge systems.

dragonlorder
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Suppose you have a ring of charge and they can't move around. and you spin it, of course, we will have current. What about the electric field of the ring, the current indicates that there's electric field going around the ring.But Gauss's law kind of suggest, the electric field is the same as when it is at rest (The enclosed charge is the same). But when it is at rest, the field just points straight out/in.
 
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Regardless of how fast it's spun, the charge distribution will be constant, so the E field will be the same. If you spin it at constant velocity, then the current will be constant, and you will have a constant B field. If the rotational velocity of the ring changes, then the changing B field will induce a change in the E field which just adds linearly with the E field from the charge distribution.
 
Ah, so Gauss Law indicates that the magnitude is the same if moves at constant velocity. But the direction of the field lines would be bent depends on which frame of reference you are in
 

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