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Magnetic Flux

Magnetic Flux

The magnetic flux measures the number of magnetic field lines passing through a given surface area. The SI unit for magnetic flux is the weber (Wb). Magnetic flux is a scalar quantity. It depends on three factors: the strength of the magnetic field B, the area through which the field lines pass, and the relative orientation of the field with the surface area.
Suppose a surface is divided into elements of area dA. For each element, the component of the magnetic field that is normal to the...

Magnetic Vector Potential

Magnetic Vector Potential

In electrostatics, the electric field can be written as the negative gradient of the potential. In magnetostatics, the zero divergence of the magnetic field ensures that the magnetic field can be expressed as the curl of a vector potential. This potential is known as the magnetic vector potential.
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Magnetostatic Boundary Conditions

Magnetostatic Boundary Conditions

An electric field suffers a discontinuity at a surface charge. Similarly, a magnetic field is discontinuous at a surface current. The perpendicular component of a magnetic field is continuous across the interface of two magnetic mediums. In contrast, its parallel component, perpendicular to the current, is discontinuous by the amount equal to the product of the vacuum permeability and the surface current. Like the scalar potential in electrostatics, the vector potential is also continuous...

Compass

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The compass is a fundamental instrument that operates by aligning its magnetic needle with Earth's magnetic field. This alignment facilitates navigation and orientation, offering a means to determine direction relative to magnetic north. However, the magnetic needle points to magnetic north, which differs slightly from true geographic north due to magnetic declination, which is the angular deviation between these two points. Declination varies based on geographic location and shifts over time...

Magnetic Declination

Magnetic Declination

Magnetic declination is the angle between true north, which aligns with the Earth's rotational axis, and magnetic north, which follows the direction of the Earth's magnetic field. This discrepancy exists because the magnetic poles do not coincide with the geographic poles. The value of magnetic declination depends on the observer's location on Earth and is subject to changes over time due to the dynamic nature of the Earth's magnetic field.The declination is called eastern when magnetic north...

Galvanometer

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Common devices, including car instrument panels, battery chargers, and inexpensive electrical instruments, measure potential difference (voltage), current, or resistance using a d'Arsonval galvanometer. This electromechanical instrument is also known as a moving coil galvanometer.
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Related Experiment Video

Updated: Jul 1, 2025

Measuring the Influence of Magnetic Vestibular Stimulation on Nystagmus, Self-Motion Perception, and Cognitive Performance in a 7T MRT

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Three-Axis Vector Magnetometer with a Three-Dimensional Flux Concentrator.

Shih-Jui Chen¹, Der-Tai Hong¹, Ping-Hsun Hsieh¹

¹Department of Mechanical Engineering, National Central University, Taoyuan 320317, Taiwan.

Sensors (Basel, Switzerland)

|March 13, 2024

Summary

This summary is machine-generated.

This study introduces a novel magnetic field sensor capable of spatial orientation. It uses a flux concentrator and planar cores for accurate three-axis measurements, ideal for IoT devices.

Keywords:

flux concentrator magnetometer three-axis

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Area of Science:

Sensor Technology
Magnetometry
Applied Physics

Background:

Traditional fluxgate magnetometers often struggle with spatial orientation and require precise coil alignment.
Integrating three-dimensional components onto planar structures presents assembly and reliability challenges.

Purpose of the Study:

To develop a compact, reliable magnetic field sensor with spatial orientation capabilities.
To enhance the sensitivity and accuracy of fluxgate magnetometers for three-axis vector field measurements.

Main Methods:

A novel three-dimensional magnetic flux concentrator was designed and integrated with planar magnetic cores on a printed circuit board.
Second harmonic signals from selected sensing coil pairs were utilized for three-axis sensing.
The sensor's performance was characterized, including its linear range and sensitivity across different axes.

Main Results:

The proposed sensor demonstrated a linear range up to 130 μT.
Measured sensitivities were 257.1 V/T (X-axis), 468.8 V/T (Y-axis), and 258.8 V/T (Z-axis) at 50 kHz excitation.
The design reduced alignment errors and improved sensor reliability.

Conclusions:

The developed magnetic field sensor offers spatial orientation ability using a single sensing mechanism.
Its performance characteristics make it suitable for Internet of Things (IoT) applications, particularly for mechanical posture and position assessment.