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Displacement Current01:19

Displacement Current

2.7K
Ampère's law, in its usual form, does not work in places where the current changes with time and is not steady. Thus, Maxwell suggested including an additional contribution, called the displacement current, Id, to the real conduction current I.
2.7K
Significance of Displacement Current01:27

Significance of Displacement Current

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A displacement current is analogous to a real current in Ampère's law, participating in Ampère's law the same way as the usual conduction current. However, it is produced by a changing electric field. Displacement current is defined in terms of a time-varying electric field, and also has an associated displacement current density. By adding a term accounting for displacement current, Maxwell modified the existing Ampère's law, which is now called generalized...
4.3K
Magnetic Field Due to Two Straight Wires01:18

Magnetic Field Due to Two Straight Wires

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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.
2.3K
Induced Electric Dipoles01:28

Induced Electric Dipoles

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A permanent electric dipole orients itself along an external electric field. This rotation can be quantified by defining the potential energy because the external torque does work in rotating it. Then, the potential energy is minimum at the parallel configuration and maximum at the antiparallel configuration. While the former is a stable equilibrium, the latter is an unstable equilibrium.
Since the absolute value of potential energy holds no physical meaning, its zero value can be chosen as per...
4.1K
Induced Electric Fields: Applications01:27

Induced Electric Fields: Applications

1.5K
An important distinction exists between the electric field induced by a changing magnetic field and the electrostatic field produced by a fixed charge distribution. Specifically, the induced electric field is nonconservative because it does not work in moving a charge over a closed path. In contrast, the electrostatic field is conservative and does no net work over a closed path. Hence, electric potential can be associated with the electrostatic field but not the induced field. The following...
1.5K
Magnetic Damping01:17

Magnetic Damping

404
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...
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Related Experiment Video

Updated: May 17, 2025

A Random-displacement Measurement by Combining a Magnetic Scale and Two Fiber Bragg Gratings
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A Random-displacement Measurement by Combining a Magnetic Scale and Two Fiber Bragg Gratings

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A Novel Inductive Displacement Sensor Based on Dual-Excitation and Single-Sensing Coils for Core Displacement

Longjiang Gao1, Qiwei Xu1, Yiru Miao1

  • 1State Key Laboratory of Power Transmission Equipment Technology, School of Electrical Engineering, Chongqing University, Chongqing 400444, China.

Sensors (Basel, Switzerland)
|May 14, 2025
PubMed
Summary

A novel inductive displacement sensor with segmented coils accurately measures nuclear reactor control rod movement. This design eliminates nonlinear compensation, achieving high precision for critical applications.

Keywords:
finite element simulationhigh-precisioninductive displacement sensorlarge-strokemulti-group coil structure

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Area of Science:

  • Nuclear Engineering
  • Sensor Technology
  • Instrumentation

Background:

  • Accurate displacement measurement is critical for nuclear reactor control rod positioning.
  • Traditional sensors often rely on nonlinear compensation for large-stroke measurements, which can be complex.

Purpose of the Study:

  • To develop a new inductive displacement sensor for precise measurement of control rod displacement in nuclear reactors.
  • To enhance the linearity range and accuracy of displacement sensors without nonlinear compensation.

Main Methods:

  • Development of a segmented multi-group coil structure (excitation and sensing coils).
  • Establishment of a mathematical model for sensing coil voltage variations.
  • Finite element simulation to analyze coil structure, turns, and excitation frequency impacts.
  • Prototype fabrication and laboratory testing.

Main Results:

  • The segmented coil design extends the linearity range, avoiding traditional nonlinear compensation.
  • Finite element analysis informed sensor design optimization.
  • Prototype testing demonstrated a linearity error of 0.35% and a maximum measuring error within 1.5 mm.

Conclusions:

  • The developed inductive displacement sensor meets the stringent accuracy requirements for nuclear reactor environments.
  • The segmented coil approach offers a direct, high-precision method for large-stroke displacement measurement.
  • This technology provides a robust solution for critical nuclear reactor instrumentation.