Electromagnetic fields in a circuit?

In summary, the conversation discusses confusion regarding EM fields in a circuit, specifically in relation to Maxwell's equations and boundary conditions at a perfect conductor. The question is raised about how a voltage can appear in a circuit if the E and B fields are zero in a loop of perfect conductor with a resistor. It is mentioned that even a perfectly conducting straight wire has external magnetic fields, and a link is provided for formulas for different coil geometries. The concept of inductance in a coaxial transmission line is also discussed, and the characteristic impedance of a coaxial transmission line is given. The conversation concludes by mentioning the presence of magnetic fields in any current, and providing a reference for understanding transmission lines and the telegrapher's equation.
  • #1
HydroGuy
29
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I'm having some trouble getting a good understanding of how the EM fields are working in a circuit. Essentially, Maxwell's equations and boundary conditions at a perfect conductor are confusing me.

If, in a perfect conductor, the E and B fields are zero, then how does a voltage appear in a circuit? IE, if we attached an ideal DC voltage source to a loop of perfect conductor with a resistor in the middle, then if there is no E or B in the loop, is there a voltage at the resistor?

Any references to understanding the fields when DC and AC are applied to a t-line or circuit would be very helpful.
 
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  • #2
Even a perfectly conducting straight wire has external magnetic fields. So a straight wire has inductance. A coil has a lot more. In this link, here are formulas for a variety of coil geometries.
http://en.wikipedia.org/wiki/Inductor.
In a coaxial transmission line, the center conductor has series inductance L per unit length and shunt capacitance C (to the outer conductor) per unit length. The characteristic impedance Z of a coaxial transmission line is
Z = sqrt(L/C) ohms

Bob S
 
  • #3
If you had a loop of a perfectly conducting wire looping around from one resister terminal to the other, ambient magnetic fields will induce a voltage across the resistor.

Any current, ac or dc, in a circuit loop, will have a magnetic field in its center.

A long straight perfectly conducting wire carrying a current will have a magnetic field surrounding the wire.

Magnetic fields are anywhere there are currents.

Magnetic fields exist between the inner and outer conductors of transmission lines.

Read about transmission lines and the telegrapher's equation in

http://en.wikipedia.org/wiki/Transmission_line

Bob S
 
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FAQ: Electromagnetic fields in a circuit?

1. What is an electromagnetic field?

An electromagnetic field is a physical phenomenon that is created by the presence of electrically charged particles. It is a combination of electric and magnetic fields that are interconnected and constantly interact with each other.

2. How is an electromagnetic field created in a circuit?

An electromagnetic field is created in a circuit when an electric current flows through a conductor. This current creates a magnetic field around the conductor, and the interaction between the electric and magnetic fields produces an electromagnetic field.

3. Are electromagnetic fields harmful to humans?

The effects of electromagnetic fields on human health are still being studied, but there is currently no conclusive evidence that they cause harm at levels typically found in everyday environments. However, it is recommended to limit exposure to high levels of electromagnetic fields, such as those produced by power lines and medical equipment.

4. How do electromagnetic fields affect electronic devices?

Electromagnetic fields can have a range of effects on electronic devices, depending on the strength and frequency of the field. They can induce unwanted currents and voltages in circuits, cause interference and disruptions in electronic signals, and even damage sensitive components.

5. How can electromagnetic fields be controlled in a circuit?

Electromagnetic fields can be controlled in a circuit by using shielding materials, such as metal enclosures, to block or redirect the fields. Additionally, proper grounding and circuit design can help to minimize the effects of electromagnetic fields on electronic devices.

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