Conservation of current in superconductor

In summary, a superconductor is a material that allows for the flow of electric current with zero resistance. This is possible when the material is cooled below a certain critical temperature. In a superconductor, the conservation of current is maintained due to the lack of resistance, allowing for the continuous flow of electricity without any external source of energy. Superconductors have the potential for various applications in energy transmission and storage, high-speed transportation, and advanced medical imaging. However, the main challenge in implementing superconductors for conservation of current is the need for extremely low temperatures, which can be expensive and difficult to achieve on a large scale. Researchers are exploring alternative methods, such as high-pressure techniques and the development of high-temperature superconductors
  • #1
voltan
6
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Hello,

I wonder:

1-) whether the (Cooper pair) current is conserved in a superconductor?

2-) and, how I can see it mathematically?

3-) are there any differences between the London theory and the BCS theory in regard to current conservation.

I would appreciate any comments on these questions.

Best wishes!
 
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FAQ: Conservation of current in superconductor

What is a superconductor?

A superconductor is a material that allows an electric current to flow through it with zero resistance, meaning there is no loss of energy in the form of heat. This phenomenon occurs when the material is cooled below a certain temperature, known as the critical temperature.

How does conservation of current work in a superconductor?

In a superconductor, the flow of electric current is conserved due to the lack of resistance. This means that once an electric current is induced, it will continue to flow indefinitely without any external source of energy.

What are the potential applications of superconductors in conservation of current?

Superconductors have the potential to revolutionize energy transmission and storage. They can be used to create highly efficient power lines, as well as high-capacity energy storage devices. Superconductors can also be used in high-speed trains, magnetic levitation devices, and advanced medical imaging machines.

What are the challenges in implementing superconductors for conservation of current?

The main challenge in using superconductors for conservation of current is the need for extremely low temperatures. Most superconductors require temperatures close to absolute zero (-273.15°C) to maintain their superconducting state, which can be difficult and expensive to achieve on a large scale.

Are there any alternative methods for conservation of current in superconductors?

Researchers are exploring the use of high-pressure techniques to induce superconductivity at higher temperatures, making it more practical for everyday use. Another approach is the development of high-temperature superconductors, which can maintain their superconducting state at temperatures above -200°C.

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