ENGR 111 Teaching plan
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Transcript ENGR 111 Teaching plan
ENGR 111 Lecture 3
Reading: Chapters 19,
Class notes
Lecture 3: DC Fundamentals
Electrical Charge (q): more or fewer
electrons
In an atom, # of electrons = # of protons
When they differ, electrical charge is present
Each electron/proton carries a unit charge
Electron negative, Proton positive
More electrons than protons, negatively
charged
More protons than electrons, positively charged
Electrical Charge
Unit of Charge: 1 coulomb (1C)
Equal to charge of 6.24x10^18 elementary
charges
An electrical (or electrostatic) field
surrounds a charge
The field strength proportional to charge
The field strength inversely proportional to
square of distance from the charge
Electrical Charge
Charges of opposite polarity attract
Charges of similar polarity repel
Electrical charge can be created through
chemical processes
Batteries
Electrical fundamentals
Voltage is the potential difference of charge at
two points in an electrical field
Voltage symbol V, unit Volts
Voltage results in the flow of charge between
two points
Current
Flow of charge = Current
Current symbol I, unit Amperes
1 Ampere current = Flow of 1 coulomb of
charge past a point per second
Charge flows through movement of
electrons
Current is said (by convention) said to flow in
the opposite direction
Current
Current can be DC (Direct) or AC
(Alternating)
DC current always flows in the same
direction
Batteries, cells
AC current changes direction periodically
Wall power outlets (120V, 60 Hz)
Resistance
Materials offer different resistance to current
Conductors (Aluminum, copper, gold) –low
Insulators (Glass, rubber, plastic) – high
Semiconductors (Silicon, gallium) – in between
Resistance, symbol R, unit Ohms (Ω)
Water Analogy
Charge flow through a
wire similar to water
flow in a pipe
Water flow measured
in gallons/sec, not
molecules/sec
Current measured in
coulombs (6.24x10^18
elementary
charges)/sec
Water Analogy
Harder to push water through a thinner pipe
(smaller current, higher resistance)
Water Analogy
For water to flow, there has to be pressure
difference at the two ends of the pipe
Voltage has to exist across a wire for current
Water Analogy
Another model for voltage
Some basic laws (Kirchoff)
Kirchoff’s Current Law (KCL):
Current flowing into and out of a node should be equal
Conservation principle
KCL
I2
I
I1
I
I = I1 + I2
I2
Kirchoff’s voltage Law
Voltages around a closed circuit should
sum to zero
When you come to the same point, voltage
difference should be zero
V2
V1
V3
Start
End V5
V4
V1 + V2 + V3 +V4 + V5 = 0
KVL
Summary
Rate of flow of charge = current
Differences in charge potential = voltage
Different materials offer different
resistance to charge flow
KCL = current at a node sums to zero
KVL = Voltage around a loop sums to zero
Resistors are color coded
Example 1: KCL
50 I 30 0
Example 2: KCL
I1 I 2 I 3 I 4 0
I 2 I1 I 3 I 4