Magnetic field and skin effect

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SUMMARY

The discussion centers on the limitations of Biot-Savart's law when applied to high-frequency currents and the necessity of using Maxwell's equations for accurate calculations. Participants emphasize that Biot-Savart's law is only valid for non-time-varying magnetic fields and suggest that the skin effect, conductor radius, and resistance must be considered to determine current without direct measurement. References to Wikipedia articles on Maxwell's equations and skin effect provide additional resources for understanding these concepts.

PREREQUISITES
  • Understanding of Biot-Savart's law
  • Familiarity with Maxwell's equations
  • Knowledge of skin effect in conductors
  • Concept of time-varying magnetic fields
NEXT STEPS
  • Study the derivation of current equations from Maxwell's equations
  • Research the skin effect and its impact on high-frequency signal transmission
  • Learn about the limitations of Biot-Savart's law in electrical engineering
  • Explore the application of Coulomb's law in quasistationary processes
USEFUL FOR

Electrical engineers, physicists, and students studying electromagnetic theory, particularly those focusing on high-frequency circuit design and analysis.

Vikas_Madhu
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In Biot savart's law we have term for current flowing through conductor. Is there any equation which describes the effects of skin effect, radius of conductor and resistance of conductor on this current with which it is possible to know the current flowing through conductor without practically measuring.
 
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Having screwed this up myself, I can tell you not to try to use the Biot Savart law on high frequency stuff. If you look at any text on it, it will tell you that it's only valid in when the B field is not time-varying. What I believe you need is the full Maxwell's equations, as what you need can definitely be derived from those.
http://en.wikipedia.org/wiki/Maxwell_equations
Alternately, I think I've seen such an equation before; see if this page has what you're looking for:
http://en.wikipedia.org/wiki/Skin_effect
 
...it is possible to know the current flowing through conductor without practically measuring.
What quantities do you know? You have to assume/measure something to infer the current.

FireStorm000,
for high-frequency oscillations, like in antenna, the Biot-Savart formula becomes indeed inaccurate. However, it can be accurate for time-dependent currents, provided the electric field is given accurately by the Coulomb formula (quasistationary processes, like slow capacitor discharge).
 

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