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Resistivity Aim and Theory

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  • "Resistivity CourseworkIntroductionResistivity can be defined as the resistance of a wire of unit length, having unitcross-sectional area of a material. It is expressed by the unit ohm-metre.The resistivity depends on the nature and, the temperature ..

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  • "Resistivity CourseworkIntroductionResistivity can be defined as the resistance of a wire of unit length, having unitcross-sectional area of a material. It is expressed by the unit ohm-metre.The resistivity depends on the nature and, the temperature of the conductor of thatmaterial. It does not depend on its size and shape.A good conductor has less resistivity, whereas a bad conductor has high resistivity,which is also known as insulator.The resistivity of semi-conductors lies between that of conductors and insulators.The resistivity of a metallic conductor increases with an increase in its temperature,whereas the resistivity of a semi-conductor decreases with an increase in itstemperature.Aim: - Aim of this course work is to measure resistivity of a conductor withuniform cross-section over its length.Theory:-A physical principle says that when voltage V is applied between the ends of aconductor a current I flow through the conductor. The current strength I dependson magnitude of voltage V and many other physical parameters of the conductoritself and its surroundings. These parameters determine the resistance R of theconductor.Experimentally, the value R can be measured as a ratio of voltage over current i.e. ? =? / ? …. (1)At a constant temperature, resistance of most conductors primarily depends ontheir shape and size as well as on the properties of the material this conductor ismade up of. For a conductor of length L and uniform cross-section of area A, R isgiven by the formula ? =?? /? …. (2), where ? is a coefficient known as resistivity.It shows that the resistance of a conductor is proportional to its length, inverselyproportional to the area of its cross-section and proportional to the resistivity. The resistivity is a parameter of a material showing its capability to conductelectric current. The lower resistivity, the higher currents can be generated in thematerial. Circuit Diagram:-Analysis and Calculations:-According to Ohm’s Law, We know that, R=V/I Length (L) / m Voltage (V) / V Current (I) /AResistance (R) /? ? 2.5 16 0.600 16.332.2 9.7 0.674 14.391.9 9.9 0.79612.431.6 9.7 0.927 10.461.3 9.8 1.153 8.491.0 9.6 1.146 8.370.7 9.8 2.141 4.570.4 9.9 3.867 2.56Graph:-Conclusion:- By comparing the given table of known resistivities and the data obtained, theunknown metal may be Steel. "

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