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Measurement of Magnetoresistance in Bismuth MRB-11

Measurement of Magnetoresistance in Bismuth
It is noticed that the resistance of the sample changes when the magnetic field is turned on. The p h e n o m e n o n , c a l l e d magnetoresistance, is due to the fact that the drift velocity of all the carriers is not same. With the magnetic field on; the Hall voltage V = E t = | v xH| y compensates exactly the Lorentz force for carriers with the average velocity; slower carriers will be over compensated and faster one under compensated, resulting in trajectories that are not along the applied field. This results in an effective decrease of the mean free path and hence an increase in resistivity. Here the above referred symbols are defined as: v = drift velocity; E = applied electric field; t =
thickness of the crystal; H = Magnetic field

Description

Experimentental Set-up for Magnetorsistance
The set-up consists of the following:
1. Hall Probe: Bismuth
2. Constant Current Source, CCS-01
3. Digital Microvoltmeter, DMV-001
4. Electromagnet, EMU-75 (Specifications as per datasheet attached)
5. Constant Current Power Supply, DPS-175 (Specifications as per datasheet attached)
6. Digital Gaussmeter, DGM-102 (Speci

cations as per datasheet attached)

(1) Four Probe Arrangement
It consists of 4 collinear, equally spaced (2mm), gold plated and individually spring loaded probes mounted on a PCB strip. Two outer probes for supplying the constant current to the sample and two inner probes for measuring the voltage developed across these probes. This eliminates the error due to contact resistance which is particularly
serious in semiconductors. A platform is also provided for placing the sample and mounting the Four Probes on it.

(2) Sample
Material : Bismuth
Dimensions: 10x10x1.2mm.

(3) Constant Current Source, CCS-01
It is an IC regulated current generator to provide a constant current to the outer probes irrespective of the changing resistance of the sample due to change in temperatures.
The basic scheme is to use the feedback principal to limit the load current of the supply to preset maximum value.
Variations in the current are achieved by a potentiometer included for that purpose. The supply is a highly regulated and practically ripples free d.c. source. The constant current source is suitable for the resistivity measurement of this
lms of metals/alloys and
semiconductors like germanium.
Speci
cations
Range : 0-20mA, 0-200mA
Resolution : 10μA
Accuracy : ±0.25% of reading ±1 digit
Display : 31⁄2 digit, 7 segment LED with
autopolarity and dec imal
indication
(4) Digital Microvoltmeter, DMV-001
it is a very versatile multipurpose instrument for the measurement of low dc voltage. It has 5 decade ranges
from 1mV to 10V with 100% over-ranging. For better accuracy and convenience, readings are directly
obtained on 31⁄2 digit DPM (Digital Panel Meter).
Specifications
Range : 1mV, 10mV, 100mV, 1V & 10V
with 100% over-ranging.

Resolution : 1pV
Accuracy : ±0.2% ±1 digit
Stability : Within ±1 digit
input Impedance : >1000MW (10MW on 10V range)
Display : 31⁄2 digit, 7 segment LED with
autopol a rit y and de c ima l
indication

The details of other sub-units can be had from their
respective datasheets

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Datasheet

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