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Related Concept Videos

Solenoids01:17

Solenoids

2.8K
A solenoid is a conducting wire coated with an insulating material, wound tightly in the form of a helical coil. The magnetic field for a solenoid is the vector sum of the magnetic field due to its individual turns. For an ideal solenoid, the magnetic field inside is almost uniform and parallel to the solenoid axis, while the magnetic field outside the solenoid is nearly zero.
Each turn in a solenoid can be approximated as a circular current carrying coil that generates a dipole moment. The...
2.8K
Magnetic Field of a Solenoid01:18

Magnetic Field of a Solenoid

5.6K
A solenoid is a conducting wire coated with an insulating material, wound tightly in the form of a helical coil. The magnetic field due to a solenoid is the vector sum of the magnetic fields due to its individual turns. Therefore, for an ideal solenoid, the magnetic field within the solenoid is directly proportional to the number of turns per unit length and the current. Conversely, the magnetic field outside the solenoid is zero.
Consider a solenoid with 100 turns wrapped around a cylinder of...
5.6K
Calculation of Self-inductance01:29

Calculation of Self-inductance

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The self-inductance of a circuit, often simply called the inductance, is a purely geometric factor that depends only on the circuit component's structure. More specifically, it depends on the shape and size of the component that lets the flux pass through it, thus inducing an electric field that opposes any current passing through it.
Since the effect of the induced electric field and the back EMF generated depends on the rate of change of current and the self-inductance, the inductance...
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Toroids01:27

Toroids

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A toroid is a closely wound donut-shaped coil constructed using a single conducting wire. In general, it is assumed that a toriod consists of multiple circular loops perpendicular to its axis.
When connected to a supply, the magnetic field generated in the toroid has field lines circular and concentric to its axis. Conventionally, the direction of this magnetic field is expressed using the right-hand rule. If the fingers of the right hand curl in the current direction, the thumb points in the...
3.4K
Energy In A Magnetic Field01:24

Energy In A Magnetic Field

1.6K
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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Thermal expansion and Thermal stress: Problem Solving01:27

Thermal expansion and Thermal stress: Problem Solving

2.2K
San Francisco's Golden Gate Bridge is exposed to temperatures ranging from -15 °C to 40 °C. At its coldest, the main span of the bridge is 1275 m long. Assuming that the bridge is made entirely of steel, what is the change in its length between these temperatures?
To solve the problem, first, identify the known and unknown quantities. The initial length (L) of the bridge is 1275 m, the coefficient of linear expansion (α) for steel is 12 x 10-6/°C, and the change in temperature (ΔT) is 55...
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Related Experiment Video

Updated: May 5, 2026

Electric and Magnetic Field Devices for Stimulation of Biological Tissues
13:29

Electric and Magnetic Field Devices for Stimulation of Biological Tissues

Published on: May 15, 2021

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Note: A simple model for thermal management in solenoids.

E M McIntosh1, J Ellis

  • 1The Cavendish Laboratory, JJ Thomson Avenue, Cambridge CB3 0HE, United Kingdom.

The Review of Scientific Instruments
|December 3, 2013
PubMed
Summary

This study presents a new model for solenoid winding temperature evolution. The model predicts thermal runaway, helping determine safe operating currents for helium spin-echo measurements.

Area of Science:

  • Physics
  • Materials Science
  • Engineering

Background:

  • Solenoid windings are crucial components in various scientific instruments.
  • Understanding their thermal behavior is essential for safe and efficient operation.
  • Helium spin-echo measurements require precise control over solenoid parameters.

Purpose of the Study:

  • To develop a dynamical temperature evolution model for solenoid windings.
  • To calibrate the model using experimental measurements of thermally induced resistance changes.
  • To determine the maximum safe operating current for solenoids in helium spin-echo applications.

Main Methods:

  • Finite element analysis (FEA) was employed to model temperature evolution.
  • The FEA model was calibrated by measuring the solenoid's resistance change due to temperature.

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  • This calibration method avoids the need for precise knowledge of winding thermal conductivity.
  • Main Results:

    • The model accurately predicts the dynamical temperature evolution in solenoid windings.
    • Quasi thermal runaway was predicted for modest increases in operating current.
    • The model was successfully applied to determine safe current limits for solenoids.

    Conclusions:

    • The developed model provides a reliable method for assessing solenoid thermal stability.
    • It enables the determination of maximum safe operating currents, crucial for sensitive experiments.
    • This work enhances the safety and reliability of solenoids in scientific instrumentation.