Magnetic field and skin effect

In summary, the conversation discusses the limitations of using Biot Savart's law for high frequency currents and suggests using the full Maxwell's equations or other methods to accurately determine the current flowing through a conductor.
  • #1
Vikas_Madhu
37
0
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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  • #2
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
 
  • #3
...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).
 

1. What is a magnetic field?

A magnetic field is an invisible force created by moving electric charges, such as electrons. It is a vector quantity, meaning it has both magnitude and direction. Magnetic fields are present around objects that have a magnetic property, such as a magnet or a current-carrying wire.

2. How does a magnetic field affect objects?

A magnetic field can exert a force on objects that have a magnetic property. This force can cause objects to move, align in a certain direction, or induce an electric current. The strength of the force depends on the strength of the magnetic field and the properties of the object.

3. What is skin effect in relation to a magnetic field?

Skin effect is a phenomenon that occurs when an alternating current (AC) flows through a conductor. As the frequency of the AC increases, the current tends to flow near the surface of the conductor, rather than through the entire cross-section. This is due to the resistance of the material and the self-inductance of the current, resulting in a higher resistance and reduced current flow in the center of the conductor.

4. How does skin effect affect the performance of electrical systems?

Skin effect can cause an increase in the effective resistance of a conductor, leading to a higher power loss. This can result in decreased efficiency and increased heating in electrical systems. Skin effect is also a concern in high-frequency applications, as it can cause signal distortion and reduced transmission efficiency.

5. How can skin effect be minimized or controlled?

Skin effect can be minimized by using conductors with larger cross-sections, as this reduces the resistance and allows for more current to flow through the center of the conductor. It can also be controlled by using specialized designs, such as hollow or stranded conductors, or by using materials with lower resistivity. For high-frequency applications, skin effect can be reduced by using techniques such as litz wire, which consists of multiple small insulated wires woven together to reduce the effective resistance.

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