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Energy In A Magnetic Field01:24

Energy In A Magnetic Field

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If a magnetic field is sustained, there must be a current in a closed circuit or loop, implying some energy has been spent in creating the field. If this energy is not dissipated via the circuit's resistance, it is stored in the field.
Take an ideal inductor with zero resistance. Although it's practically impossible, assume that the coil's resistance is so small that it is practically negligible. The loss of the field's energy to dissipate thermal energy (or heat) is thus...
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Magnetic Field Of A Current Loop01:16

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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.
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The most common application of magnetic force on current-carrying wires is in electric motors. These consist of loops of wire, which are placed between the magnets with a magnetic field. When current flows through the loops, the magnetic field applies torque, which causes the shaft to rotate, thus converting electrical energy to mechanical energy.
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Updated: Sep 10, 2025

Silicon Metal-oxide-semiconductor Quantum Dots for Single-electron Pumping
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Heatpipe-cooled in-vacuum electromagnet for quantum science experiments.

Kenneth Nakasone1, Paola Luna1, Andrei Zhukov1

  • 1Wyant College of Optical Sciences, University of Arizona, Tucson, Arizona 85721, USA.

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We developed a compact, in-vacuum electromagnet using heatpipes for quantum inertial sensors. This design enables portable quantum technologies by efficiently managing heat and reducing size, weight, and power consumption.

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Area of Science:

  • Quantum physics
  • Sensor technology
  • Materials science

Background:

  • Quantum inertial sensors offer high accuracy for fundamental physics research and applications like geophysics and navigation.
  • Current quantum control methods require bulky laboratory equipment, limiting practical field deployment.
  • Reducing the size, weight, and power (SWaP) of quantum sensor apparatus is crucial for broader applications.

Purpose of the Study:

  • To design and implement a compact, in-vacuum electromagnet for quantum control operations.
  • To address the thermal management challenges of in-vacuum electromagnets.
  • To enable the development of robust, portable quantum inertial sensors.

Main Methods:

  • Integrated an electromagnet within a vacuum chamber to minimize size and improve switching times.
  • Utilized heatpipes with a phase-transition working fluid for efficient thermal conductivity (>100x bulk metal).
  • Designed for compatibility with ultrahigh vacuum and ample optical access for atomic experiments.

Main Results:

  • Demonstrated an in-vacuum electromagnet capable of handling over 50 W of thermal power.
  • Achieved compact, low-vibration, and robust thermal management using heatpipes.
  • The design facilitates essential quantum control operations like magneto-optical trapping and evaporative cooling.

Conclusions:

  • The developed in-vacuum electromagnet is a key component for realizing portable quantum inertial sensors.
  • Heatpipe technology offers a highly effective solution for thermal management in compact vacuum systems.
  • This advancement paves the way for deploying advanced quantum technologies outside the laboratory.