ENGR 1310 Lecture 11 - Resistance

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Resistance, Ohm’s

Law

EGR 1301 Fall 2010

Electricity – The movement of charge (usually electrons)

• Electricity can travel through some materials better than others

• Good conductors : Gold, silver, aluminum, copper… wood…

• Semiconductors: Modern materials designed to conduct only under certain conditions (Transistors, LEDs, amplifiers)

Flow of electricity through a copper wire

= I

Electrons are induced by chemical reaction in the battery

+

BATTERY

-

How many electrons???

1 cm

1 cm Cu

1 cm

Atomic wt. of Cu = 63.55 g/mol

Density of Cu = 8.94 g/cm 3

Avogadro’s Number = 6.022 x (10) 23 atoms/mol

# of Cu valence electrons = # of Cu atoms

=1 cm 3 x 8.94 g/cm 3 x mol/63.55 g x 6.022 x (10) 23 atoms/mol

# of Cu valence electrons = 8.5 x (10 ) 22

This is more than the number of grains of sand on the entire surface of the earth. (Assuming grains of sand are 1mm in diameter, packed to 68% efficiency, 10-cm deep over the entire 200 million sqare mile surface)

Flow of electricity through a copper wire

Conventional Current = I

Net Flow Of Electrons

Electrons are induced by chemical reaction in the battery

+

BATTERY

-

Electron

Shortage

Electron

Supply

Voltage & Resistance

• The difference between the strength of the electron supply and the severity electron shortage defines the voltage .

Voltage = V

• The scattering and destructive interaction between atoms and electrons cause electrical resistance .

Resistance = R

Current and Amps,

Resistance and Ohms

• Current = I = quantity of electrons passing a point per unit time

• 1 Amp = 1 Coulomb/sec = 6.28 x (10) 18 electrons/sec

• Class Problem: A battery powers a flashlight. If the battery supplies a steady current of 1.3 A over 8 minutes, how many electrons leave the negative terminal of the battery during this time period?

Ohm’s Law

V

+

-

Conventional

Current = I

R

Resistor

Ohm’s Law

Voltage = Current X Resistance

Volts = Amps X Ohms

V = I x R = Amps X Ω

Electron Flow

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