Question

From the Hall Effect experiment, one can measure:

• A. Carrier concentration
• B. Nature of charge carriers
• C. Carrier concentration and Mobility of charge carriers
• D. Nature of charge carriers, concentration of charge carriers as well as their mobility

Hint:

Remember that in a Hall Effect setup, the magnetic field must be perpendicular to the current flow. The voltage that develops across the material (the Hall voltage) is directly proportional to the product of current and magnetic field, so by measuring the Hall voltage and knowing the other parameters, you can extract a lot of useful information about carrier properties.

Answer 1

The Correct Option is C

The Hall Effect occurs when a magnetic field, applied perpendicularly to current flow in a conductor (or semiconductor), generates a voltage (Hall voltage) perpendicular to both. Hall voltage ($V_H$) relates to the magnetic field ($B$), current ($I$), charge carrier density ($n$), and material thickness ($t$) via the equation:
\(V_H = \frac{IB}{net}\)
Here, $e$ is the elementary charge.
This experiment yields two key parameters:
Charge Carrier Concentration ($n$): Measuring the Hall voltage with other known parameters determines the density of charge carriers (electrons or holes).
Mobility ($\mu$): Calculated from Hall voltage and conductivity, mobility describes charge carrier speed in an electric field and relates to their scattering rate.
The Hall Effect also identifies the sign of charge carriers, as Hall voltage polarity distinguishes electrons from holes. Thus, the Hall experiment measures charge carrier concentration, mobility, and carrier type.