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hall coefficient calculator. Hall Effect, deflection of conduction carriers by an external magnetic field, was discovered in 1879 by Edwin Hall. Also, voltage potential difference between \(A\) and \(B\) (\(V_{AB}\)) can be written as: \[ V_{AB} = \dfrac{R_{H}I_{x}B_{z}}{t} \label{5}\]. It has been known that moving carriers in a magnetic field are accelerated by the Lorentz Force, and the magnitude and the direction of the applied force on the carriers are given as in Equation (1): \[ \mathbf{F} = q\boldsymbol{v}\times \mathbf{B} \label{1}\]. In steady state, current density (net charge flow) along the y-axis has to be zero, which results in Hall coefficient of: (12) R H = p μ h 2 − n μ e 2 q (p μ h + n μ e) 2 Equation (12) indicates that Hall coefficient of a material can either be positive or negative depending on mobility and density of the carriers (electrons and holes). The Hall coefficient, R H, is in units of 10-4 cm 3 /C = 10-10 m 3 /C = 10-12 V.cm/A/Oe = 10-12. ohm.cm/G. systems, at very low temperature and large fields, the Hall resistance show a step-like (rather than linear) dependence on B. The graph was then used to calculate the Hall Coefficient R H using equation (3). The LibreTexts libraries are Powered by MindTouch® and are supported by the Department of Education Open Textbook Pilot Project, the UC Davis Office of the Provost, the UC Davis Library, the California State University Affordable Learning Solutions Program, and Merlot. Hall effect is more effective in semiconductor. hall coefficient calculator Determine the hall coefficient for a typical N-type Germanium semiconductor having thickness 0.8mm. The Hall effect is the production of a voltage difference across an electrical conductor, transverse to an electric current in the conductor and to an applied magnetic field perpendicular to the current. 0000001913 00000 n
If a current carrying conductor placed in a perpendicular magnetic field, a potential difference will generate in the conductor which is perpendicular to both magnetic field and current. Read More: Hall Effect. The Hall effect is a galvanomagnetic** effect, which was observed for the first time by E. H. Hall in 1880. Author links open overlay panel G.J. 0000046172 00000 n
In this calculator, you can calculate the Hall coefficient of a free electrons in solid semiconductor with known values.