GATE 2020 IN – Question 20

Sensors and Industrial Instrumentation · Piezoelectric electromagnetic and Hall sensors: Piezoelectric, electromagnetic and Hall effect sensors and their signal conditioning circuits · 1 mark · Multiple choice

A Hall sensor carries current I and has perpendicular magnetic flux density B. Its Hall voltage is

Proportional to I and inversely proportional to B.
Proportional to both I and B.
Inversely proportional to both I and B.
Inversely proportional to I and proportional to B.

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Show answer and explanation

Correct answer: (B) Proportional to both I and B.

Explanation

Balancing electric and magnetic forces on charge carriers gives a Hall field proportional to carrier drift velocity times B. For fixed material and thickness, $V_H=R_HIB/t$, where $R_H$ is the Hall coefficient. It is therefore directly proportional to both I and B, option B.

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