In: Electrical Engineering
Find the current-referenced sensitivity(output voltage per unit of field per unit of current)of a GaAs-based thin-film Hall transducer with the length of 50μm, the width of 10μm and thickness of 5μm, provided that GaAsis doped to1*10^15cm-3. After placing this Hall transducer inside an energized magnet, the output voltage reached 250mV. Find the value of the magnetic field if the sensing current is 10mA.
Consider the hall sensor as shown below:
The expression for hall voltage is
So the sensitivity is given by
Here
Plugging all values we get
(b) From Eq. (1),
Or