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This lecture was delivered by Kantimoy Baag at Bengal Engineering and Science University for Fundamentals of Electronics course. Its main points are: Resistance, Property, Resistivity, Length, Cross-sectional, Area, Temperature, Material
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The resistance of any material depends on
Length, l Cross Sectional Area, A Temperature, T
The unit of measurement is ohm for which the symbol is . At a fixed temperature of 20ºC, the resistance is
R l A
The higher the resistivity, the more resistance The longer the length, the more resistance The smaller the area, the more resistance The higher the temperature, the more resistance
Units :
Consider the figure 1 mil (abbreviation for milli inch) = 10 -3^ inch.
A wire of diameter one mil has an area of one circular mil (CM). Thus a wire with d = 20 mil has
an area of 400 CM. Area of circular cross section is defined as
2 2 4
A r d
If d = 1 mil then
(1mil) 2 sq.mil 1 CM 4 4
The resistivity of every material is different. It is the resistance of a length of wire 1 feet long
ft
l
Table: Resistivity of various materials
Material at 20ºC (CM./ft) Silver 9. Copper 10. Gold 14. Aluminum 17 Tungsten 33 Nickel 47 Iron 74 Nichrome 600 Carbon 21000
Example: What is the resistance of 100 ft long circular copper wire with diameter
0.02 inch at 20ºC? What about if copper wire is replaced with iron wire?
d = 0.02 inch = 20 mil
A = (20 mil) 2 =400 CM
100 10.37 10.37 0.25 2. copper 400
l R A
iron 400
l R A
From this example, it is shown that the more the resistivity, the more resistance
Example: What is resistance of 3 ft copper bar of thickness 0.5 in and width 5 in,
as used in high rise office building?
Width = w = 5 in = 5000 mil