Resistance Part 1-Basic Electronics-Lecture Slides, Slides of Fundamentals of Electronics

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

Typology: Slides

2011/2012

Uploaded on 07/19/2012

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Lecture Two
Resistance
The resistance of any material depends on
A property of Material called resistivity,
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
l
R
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
2
(1mil) sq.mil 1 CM
A
The resistivity of every material is different. It is the resistance of a length of wire 1 feet long
having a cross sectional area 1 mil. Unit of

is
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Lecture Two

Resistance

The resistance of any material depends on

 A property of Material called resistivity, 

 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

A

The resistivity of every material is different. It is the resistance of a length of wire 1 feet long

having a cross sectional area 1 mil. Unit of is

CM.

ft

AR

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?

copper = 10.37 CM/ft

iron = 74 CM/ft

We see iron > copper.

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