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Chapter 20: Problem 31

Briefly describe the Meissner effect.

Short Answer

Expert verified
Answer: The Meissner effect is a phenomenon observed in superconducting materials, where the superconductor behaves like a perfect diamagnet, expelling all external magnetic fields from its interior when it transitions into the superconducting state. Superconductivity is a property of some materials in which electrical resistance drops to zero when cooled below a certain critical temperature, while diamagnetism is a property of materials that creates an induced magnetic field opposing an externally applied magnetic field. The Meissner effect demonstrates the unique properties of superconductors and their perfect diamagnetism, differentiating them from perfect conductors.

Step by step solution

01

Understanding Superconductivity

Superconductivity is a phenomenon that occurs in some materials, where electrical resistance drops to zero when the material is cooled below a certain critical temperature. This allows electric current to flow through the material without any energy loss due to resistance.
02

Explaining Diamagnetism

Diamagnetism is a property of materials that causes them to create an induced magnetic field in opposition to an externally applied magnetic field. This means that when a magnetic field is applied to a diamagnetic material, the material will generate its own magnetic field that opposes and cancels out the external field. As a result, the net magnetic field inside the diamagnetic material is close to zero.
03

Meissner Effect Overview

The Meissner effect is a phenomenon observed in superconducting materials, where the superconductor behaves like a perfect diamagnet. Essentially, the superconductor expels all external magnetic fields from its interior when it transitions into the superconducting state.
04

Meissner Effect in Detail

When a superconductor is cooled below its critical temperature, it transitions from the normal state to the superconducting state. In this superconducting state, the material's magnetic permeability becomes exactly zero. The magnetic field lines are no longer able to penetrate the superconductor. The superconductor effectively expels all magnetic field lines, leading to a zero net magnetic field within the superconductor. This perfect diamagnetism exhibited by superconductors is called the Meissner effect.
05

Significance of the Meissner Effect

The Meissner effect is significant because it demonstrates the unique properties of superconductors and helps differentiate them from perfect conductors. While perfect conductors also have zero electrical resistance, they do not exhibit the Meissner effect. Furthermore, the Meissner effect has practical applications in various technologies, such as magnetic levitation, magnetic resonance imaging (MRI), and superconducting magnetic energy storage systems.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Superconductivity
Superconductivity is a fascinating state of matter encountered when certain materials are cooled to extremely low temperatures. These materials exhibit zero electrical resistance and become perfect conductors of electricity. This means that an electric current can circulate indefinitely without any energy loss.
  • The magic happens below a specific temperature called the "critical temperature," unique to each material.
  • This state allows electrons to move freely and without friction, which is otherwise impossible in regular conductive materials.
Superconductivity has the potential to revolutionize technology, leading to ultra-efficient power grids, fast levitating trains, and even powerful medical imaging devices.
Diamagnetism
Diamagnetism is a type of magnetism where materials generate a magnetic field in response to an external magnetic field. However, unlike other types of magnetism, this field is oriented in the opposite direction to the applied magnetic field.
  • This property is present in all materials to some extent, but in some, it is so weak that it is not easily noticeable.
  • It results in the reduction of the net magnetic field inside the material to nearly zero.
Diamagnetism is among the least understood magnetic phenomena, often overshadowed by stronger magnetic behaviors such as ferromagnetism, but it is crucial for understanding the foundation of superconductivity.
Critical Temperature
The critical temperature is a pivotal concept in superconductivity. It refers to the specific temperature at which a material transitions from its normal state to the superconducting state. Each superconducting material has its own critical temperature, below which it drastically changes its properties.
  • At temperatures above this point, materials exhibit normal resistance, much like any metal.
  • Once cooled below the critical temperature, the material's electrical resistance drops to zero.
The critical temperature is essential for practical applications of superconductors, as it dictates the conditions under which a superconductor can operate effectively.
Perfect Diamagnetism
Perfect diamagnetism is an extraordinary property displayed by superconductors, characterized by their ability to completely expel magnetic fields from their interior. When cooled below the critical temperature, superconductors exhibit this behavior due to the Meissner effect.
  • In this state, magnetic field lines cannot penetrate the superconductor, leading to a zero net magnetic field inside.
  • This phenomenon is unique to superconductors and does not occur in ordinary conductors, even those with zero resistance.
The concept of perfect diamagnetism is critical for numerous technological advancements, such as magnetic levitation and advanced medical and storage technologies, illustrating the vast potential and uniqueness of superconductors.

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Most popular questions from this chapter

The magnetization within a bar of some metal alloy is \(1.2 \times 10^{6} \mathrm{A} / \mathrm{m}\) at an \(\mathrm{H}\) field of \(200 \mathrm{A} / \mathrm{m} .\) Compute the following: (a) the magnetic susceptibility, (b) the permeability, and (c) the magnetic flux density within this material. (d) What type(s) of magnetism would you suggest as being displayed by this material? Why?

Compute (a) the saturation magnetization and (b) the saturation flux density for iron, which has a net magnetic moment per atom of 2.2 Bohr magnetons and a density of \(7.87 \mathrm{g} / \mathrm{cm}^{3}\).

(a) Explain the two sources of magnetic moments for electrons. (b) Do all electrons have a net magnetic moment? Why or why not? (c) Do all atoms have a net magnetic moment? Why or why not?

There is associated with each atom in paramagnetic and ferromagnetic materials a net magnetic moment. Explain why ferromagnetic materials can be permanently magnetized whereas paramagnetic ones cannot.

The magnetic flux density within a bar of some material is 0.630 tesla at an \(H\) field of \(5 \times 10^{5} \mathrm{A} / \mathrm{m} .\) Compute the following for this material: (a) the magnetic permeability, and (b) the magnetic susceptibility. (c) What type(s) of magnetism would you suggest is(are) being displayed by this material? Why?
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