hall effect in semiconductor derivation

Hall effect formula enables one to determine whether a material serves as a semiconductor or an insulator. The Hall Effect is used for obtaining information regarding the semiconductor type, the sign of charge carriers, to measure electron or hole concentration and the mobility. Figure 3. Being very simple and straight forward phenomena in physics, Hall effect is a fundamental principle in magnetic field sensing and have many practical applications in our daily life. Stack Exchange network consists of 176 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share … THEORY :-If a current carrying semiconductor specimen is placed in a magnetic field , then an induced Electric field is generated , which will produced potential difference between two surfaces of semiconductor .This potential difference is known as “Hall Voltage” and is proportional to magnetic field and current () A Hall effect transducer measuring small distances. Figure \(\PageIndex{2}\) Hall effect in presence of both holes (h) and electrons (e) \(^{[3]}\). This effect is known as Hall effect. With a brief light shed on its applications, let us move on to how you can make the Hall effect derivation from scratch. The Hall Effect 1 Background In this experiment, the Hall Effect will be used to study some of the physics of charge transport in metal and semiconductor samples. HALL EFFECT IN p-TYPE SEMICONDUCTOR. This demonstration shows Hall effect in semiconductor materials and shows how n-type and p-type semiconductors can be identified. Hall Effect Consider the sample of p-type semiconductor with current density J x flowing in the x-direction. When a potential difference is applied along its length ‘a’ current ‘I’ starts flowing through it in x direction. Principle of Hall Effect. The phenomenon is called HALL EFFECT. Figure \(\PageIndex{2}\) shows a semiconductor … Hall Effect was discovered by Edwin Herbert Hall in 1879. As shown consider a rectangular plate of a p-type semiconductor of width ‘w’ and thickness ‘d’ placed along x-axis. In the presence of a magnetic field B 0 along the z-direction, the holes will experience a force (the Lorentz force) driving them towards the bottom of the sample as shown in Figure 1. Hall effect definition finds immense application in integrated circuits (ICs) in the form of Hall effect sensors. The principle of Hall Effect states that when a current-carrying conductor or a semiconductor is introduced to a perpendicular magnetic field, a voltage can be measured at the right angle to the current path. If both holes and electrons are conduction carriers, then a different derivation has to be done to solve for Hall coefficient. Figure 2. There by, we can also know whether the material is a conductor, insulator or a semiconductor. Utilizing the Hall effect to measure blood flow. 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