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Related Concept Videos

Magnetic Force Between Two Parallel Currents01:13

Magnetic Force Between Two Parallel Currents

Two long, straight, and parallel current-carrying conductors exert a force of equal magnitude on one another. The direction of the force depends on the current direction in the conductors.
The force exerted by the magnetic field due to the first conductor over a finite length of the second conductor is given as the product of the current in the second conductor and  the vector product of the length vector along the current element and the field due to the first conductor. According to the...
Eddy Currents01:25

Eddy Currents

Since eddy currents occur only in conductors, magnets can separate metals from other materials. For example, in a recycling center, trash is dumped in batches down a ramp, beneath which lies a powerful magnet. Conductors in the trash are slowed by eddy currents, while nonmetals in the trash move on, separating from the metals. This works for all metals, not just ferromagnetic ones.
Other major applications of eddy currents appear in metal detectors and the braking systems of trains and roller...
Magnetic Field Of A Current Loop01:16

Magnetic Field Of A Current Loop

Consider a circular loop with a radius a, that carries a current I. The magnetic field due to the current at an arbitrary point P along the axis of the loop can be calculated using the Biot-Savart law.
Magnetic Damping01:17

Magnetic Damping

Eddy currents can produce significant drag on motion, called magnetic damping. For instance, when a metallic pendulum bob swings between the poles of a strong magnet, significant drag acts on the bob as it enters and leaves the field, quickly damping the motion.
If, however, the bob is a slotted metal plate, the magnet produces a much smaller effect. When a slotted metal plate enters the field, an emf is induced by the change in flux; however, it is less effective because the slots limit the...
Potential Due to a Magnetized Object01:24

Potential Due to a Magnetized Object

Magnetic dipoles in magnetic materials are aligned when placed under an external magnetic field. For paramagnets and ferromagnets, dipole alignment occurs in the direction of the magnetic field. However, the dipoles align opposite to the field in the case of diamagnets. This state of magnetic polarization due to the external field is called magnetization. Magnetization is defined as the dipole moment per unit volume. It plays a similar role to polarization in electrostatics.
The vector...
Magnetic Field Due to Two Straight Wires01:18

Magnetic Field Due to Two Straight Wires

Consider two parallel straight wires carrying a current of 10 A and 20 A in the same direction and separated by a distance of 20 cm. Calculate the magnetic field at a point "P2", midway between the wires. Also, evaluate the magnetic field when the direction of the current is reversed in the second wire.

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Quantifying the Relative Thickness of Conductive Ferromagnetic Materials Using Detector Coil-Based Pulsed Eddy Current Sensors
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Casimir interaction from magnetically coupled eddy currents.

Francesco Intravaia1, Carsten Henkel

  • 1Institut für Physik und Astronomie, Universität Potsdam, 14476 Potsdam, Germany.

Physical Review Letters
|November 13, 2009
PubMed
Summary
This summary is machine-generated.

Quantum and thermal fluctuations in eddy currents within metallic plates create Casimir interactions. These fluctuations explain thermal anomalies and Casimir entropy, revealing a correlated, glassy state at zero temperature.

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Area of Science:

  • Condensed matter physics
  • Quantum field theory
  • Electromagnetism

Background:

  • Casimir interactions arise from quantum fluctuations of electromagnetic fields.
  • Thermal anomalies in Casimir forces between conductors are not fully understood.
  • Eddy (Foucault) currents play a role in electromagnetic interactions within materials.

Purpose of the Study:

  • To investigate quantum and thermal fluctuations of eddy currents in metallic plates.
  • To understand the contribution of eddy currents to Casimir interactions.
  • To explain thermal anomalies and the nature of Casimir entropy in conductors.

Main Methods:

  • Analysis of quantum and thermal fluctuations of eddy currents.
  • Modeling Casimir interactions via quasistatic magnetic field coupling.
  • Examining eddy current mode behavior as a function of distance.

Main Results:

  • Eddy current modes exhibit a crossover from quantum to thermal regimes with increasing distance.
  • These modes alone can reproduce previously observed thermal anomalies in Casimir interactions.
  • A physical picture for Casimir entropy is provided, explaining its non-zero value at zero temperature.

Conclusions:

  • Eddy current fluctuations are crucial for understanding Casimir interactions in conductors.
  • The study reveals a correlated, glassy state responsible for zero-temperature Casimir entropy.
  • This work offers a new perspective on thermal effects in macroscopic quantum phenomena.