A sample of the paramagnetic salt to which the magnetization...

Name: Problem 11, Chapter 32: Principles of Physics
Uploaded: 2022-03-20T11:45:15-08:00
Duration: 1 min 1 s
Channel: Raj Bala
Description: A sample of the paramagnetic salt to which the magnetization curve of Fig. 32-14 applies is to be tested to see whether it obeys Curie’s law. The sample is placed in a uniform 0.60 T magnetic field that remains constant throughout the experiment. The magnetization M is then measured at temperatures ranging from 10 to 300 K. Will it be found that Curie’s law is valid under these conditions?

A sample of the paramagnetic salt to which the magnetization curve of Fig. 32-14 applies is to be tested to see whether it obeys Curie’s law. The sample is placed in a uniform 0.60 T magnetic field that remains constant throughout the experiment. The magnetization M is then measured at temperatures ranging from 10 to 300 K. Will it be found that Curie’s law is valid under these conditions?

A sample of the paramagnetic salt to which the magnetization
curve of Fig. 32-14 applies is to be tested to see whether it obeys
Curie’s law. The sample is placed in a uniform 0.60 T magnetic field
that remains constant throughout the experiment. The magnetization M is then measured at temperatures ranging from 10 to 300 K.
Will it be found that Curie’s law is valid under these conditions?

Key Concepts

Magnetic Saturation

Magnetic saturation occurs when nearly all the magnetic moments in a material are aligned with the applied field, leaving little room for increasing magnetization regardless of further decreases in temperature. In such cases, the linear relation between magnetization and the inverse of temperature as predicted by Curie’s law fails.

Thermal Energy versus Magnetic Energy

The interplay between thermal energy and magnetic energy is crucial in determining the magnetic behavior of a material. At high temperatures, thermal energy dominates and prevents complete alignment of the magnetic moments, which supports Curie’s law. However, at low temperatures or under strong magnetic fields, magnetic energy can overcome thermal agitation, potentially leading to saturation and deviations from Curie’s law.

Curie’s Law

Curie’s law is a fundamental principle in magnetism stating that the magnetization of a paramagnetic material is directly proportional to the applied magnetic field and inversely proportional to the temperature. This law reflects the idea that as temperature increases, thermal agitation disrupts the alignment of magnetic moments, reducing overall magnetization.

Paramagnetism

Paramagnetism describes the behavior of materials with unpaired electrons that tend to align with an external magnetic field, resulting in a positive magnetization. However, the degree of alignment is affected by thermal fluctuations which compete with the aligning influence of the field.

Transcript

Please give Ace some feedback