The Hall constant thus gives a direct indication of the sign of the charge carriers; it is negative for electrons (q =−e) and positive for … In 1879, E.H. Hall devised an experiment that can be used to identify the sign of the predominant charge carriers in a conducting material. EXPERIMENT 20 The Hall Effect Note: Please read the Radiation Safety Regulations at the back of this book Objectives of the Experiment The behaviour of the Hall voltage in a sample of doped germanium is studied in three different set-ups as follows: 1. The Hall Coefficient (or Constant) RH is officially defined as this proportionality constant: Ey =RH JB. These measurements will enable the student to determine: the type (n or p) and doping density of the sample as well as the majority carrier’s “Hall mobility.” 2. The production of transverse voltage across a current carrying conductor when placed in a perpendicular magnetic field,is called Hall effect.The voltage developed across the conductor is called Hall voltage. The Hall Effect voltage, V H, and Hall coefficient, R H, for the same sample will be measured using a magnetic field. The Hall Coefficient R H is mathematically expressed as $$R_H=\frac{E}{jB}$$ Where j is the current density of the carrier electron, Ey is the induced electric field and B is the magnetic strength. The hall coefficient is positive if the number of positive charges is more than the negative charges. The electrons take a drift velocity v d = -μE x proportional to the electric fiel E x . Hall Coefficient. Apparatus :- 1) Gauss meter with probe 2) Electromagnet 3) Constant current source to Pass current through electromagnet The Drude model thus predicts nq RH 1 = . From a historical perspective, this experiment was the first to demonstrate that the charge carriers in most metals are negative. The Hall coefficients of n-type and p-type doped germanium samples were measured and found to be (respe ) and ( ) ctively. The Hall constant thus gives a direct indication of the sign of the charge carriers; it is negative for electrons (q =−e) and positive for … 2. The Drude model thus predicts nq RH 1 = . In the hall effect experiment, we determine the hall voltage and hall coefficient. This is in agreement with and very close to the literary value of 0.67 eV. A current can be thought of as a negative charge moving in one direction (Figure 1) or as a positive charge moving in the opposite direction (Figure 2). In this experiment, the band gap energy of undoped germanium was measured and found to be 0.73 ± 0.03 eV. 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