Concept:
The Hall effect states that when a current-carrying conductor or semiconductor strip is placed inside a magnetic field, a transverse voltage (the Hall voltage, $V_H$) is generated across the material perpendicular to both the current flow $I$ and the magnetic flux density vector $B$. The governing equation is:
\[
V_H = \frac{R_H \cdot I \cdot B}{t}
\]
Where $R_H$ is the Hall coefficient and $t$ is the thickness of the semiconductor strip.
Step 1: Categorizing primary applications.
Because the generated voltage $V_H$ is directly proportional to the magnetic flux density ($V_H \propto B$), Hall effect sensors have several key applications:
• Magnetic Field Measurement: Magnetometers and Gaussmeters use Hall effect sensors as their primary sensing elements to precisely measure direct current (DC) and alternating current (AC) magnetic flux.
• Proximity and Position Detection: By attaching a small permanent magnet to a moving mechanical component, a stationary Hall sensor can detect when the magnet moves nearby. This enables non-contact proximity switching, revolution-per-minute (RPM) counting on gear teeth, and door-closure sensing.
• Displacement Transducers: If a magnet moves continuously relative to the Hall chip, the changing magnetic field strength creates a calibrated, continuous variation in $V_H$. This allows the sensor to measure linear or angular displacements without physical contact.
Step 2: Evaluating the options.
Hall effect devices respond to magnetic fields, not electrical fields, which rules out Option (D). Option (C) provides the most complete list of valid industrial applications, making it the correct choice.