Electrical EngineeringEE-111

DEPARTMENT OF ELECTRICAL ENGINEERING, UCET BZU MULTAN

Lecture No. 1

Dr. Abdul Sattar Malik

INTRODUCTIONCourse & Instructor

Department Department of Mechanical Engineering

Degree B.Sc. (Engineering)

Course -Title Electrical Engineering

Course-Code EE-111

Contact Hours Theory 02 Practical 02

Class Timing Wed 09:40-11:20 (in the Department of Mechanical Engineering)

Lab Timing Mon 08:00-09:40 (in the Department of Electrical Engineering)

Instructor Dr. Abdul Sattar Malik

Email maliksattar777@bzu.edu.pk

Course Description

Objectives

Students who complete the course of Electrical Engineering (EE-111) will(2)possess a working knowledge of the fundamental concepts of electrical engineering including circuit components, basic DC and AC circuit analysis techniques(3)be able to understand the Working principle of Electric Motors, Generators, Transformers and their applications(4)have a knowledge of basic elements of Electric wiring, different Electrical Measurements and instrumentation techniques

Course Structure

Lectures, Seminars, Discussions, Q&A, Presentations , Experiments in Lab

INTRODUCTION

COURSE OUTLINEIntroduction to D.C. circuits:

Series and parallel circuits, DC circuit theorems

Theory of Alternating Current: Series and parallel circuits. Resistance, Inductance and capacitance of AC circuits, Power factor, resonance in RLC circuits, single phase and poly-phase circuits, power and power factor measurement. Current and voltage relations in phase and line circuits

DC Machines:Generators and motor types construction and characteristics, motor starters, Testing and efficiency of machines

AC Machines: Types, characteristics and testing of A.C motors, motors starters and switch gear. Electric traction and breaking

Transformers: voltage and current relationship of primary and secondary types of transformers, Losses and efficiency

House wiring: Elements of house and power wiring, Electricity rules and act testing of house wiring

Strain gauges: types and working, Electrical gauging methods for displacement, vibration and pressure

Recommended Books:1. Basic Engineering Circuit Analysis, by David Irwin.2. Electric Machinery Fundamentals by S. Chapman.3. Electric Power Technology by Theodre Wild.

COURSE PLANContents Tentative duration

Introduction to DC circuits: Series and parallel circuits, DC circuit theorems 07-weeks

Theory of Alternating Current: Series and parallel circuits. Resistance, Inductance and capacitance of AC circuits, Power factor, resonance in RLC circuits, single phase and poly-phase circuits, power and power factor measurement. Current and voltage relations in phase and line circuits

06-weeks

DC Machines: Generators and motor types construction and characteristics, motor starters, Testing and efficiency of machines

06-weeksAC Machines: Types, characteristics and testing of A.C motors, motors starters and switch gear. Electric traction and breaking

Transformers: voltage and current relationship of primary and secondary types of transformers, Losses and efficiency

04-weeks

House wiring: Elements of house and power wiring, Electricity rules and act testing of house wiring

03-weeksStrain gauges: types and working, Electrical gauging methods for displacement, vibration and pressure

BASIC CONCEPTS

LEARNING GOALS

•System of Units: The SI standard system; prefixes

•Basic Quantities: Charge, current, voltage, power and energy

•Circuit Elements: Active and Passive

http://physics.nist.gov/cuu/index.html

In fo rm a tio n a t th e fo u n d a tio n o fm o d e rn s c ie n c e a n d te c h n o lo g yfro m th e P h y s ic s L a b o ra to ry o f N IS T

D e ta ile d c o n te n ts

V a lu e s o f th e c o n s ta n ts a n d re la te d in fo rm a tio nS e a rc h a b le b ib lio g ra p h y o n th e c o n s ta n ts

In -d e p th in fo rm a tio n o n th e S I, th e m o d e rnm e tric s y s te m

G u id e lin e s fo r th e e x p re s s io no f u n c e rta in ty in m e a s u re m e n t

A b o u t th is referen ce. F eed b ack.

P riv a c y S ta te m e n t / S e c u rity N o tic e - N IS T D is c la im e r

SI DERIVED BASIC ELECTRICAL UNITS

ONE AMPERE OF CURRENT CARRIES ONE COULOMB OF CHARGE EVERY SECOND.

ELECTRON ONE OF CHARGE THE IS (e)(e) 106.28 COULOMB 1 18×=

sCA ×=

VOLT IS A MEASURE OF ENERGY PER CHARGE. TWO POINTS HAVE A VOLTAGE DIFFERENCE OF ONE VOLT IF ONE COULOMB OF CHARGEGAINS ONE JOULE OF CHARGE WHEN IT IS MOVED FROM ONE POINT TO THE OTHER.

C

JV =

OHM IS A MEASURE OF THE RESISTANCE TO THE FLOW OF CHARGE.THERE IS ONE OHM OF RESISTENCE IF IT IS REQUIRED ONE VOLT OF ELECTROMOTIVE FORCETO DRIVE THROUGH ONE AMPERE OF CURRENT

A

V=Ω

IT IS REQUIRED ONE WATT OF POWER TO DRIVE ONE AMPER OF CURRENT AGAINST ANELECTROMOTIVE DIFFERENCE OF ONE VOLTS

AVW ×=

CURRENT AND VOLTAGE RANGES

Strictly speaking current is a basic quantity and charge is derived. However, physically the electric current is created by a movement of charged particles.

+

++

)(tq

+

What is the meaning of a negative value for q(t)?

PROBLEM SOLVING TIPPROBLEM SOLVING TIP IF THE CHARGE IS GIVEN DETERMINE THE CURRENT BYDIFFERENTIATIONIF THE CURRENT IS KNOWN DETERMINE THE CHARGE BYINTEGRATION

A PHYSICAL ANALOGY THAT HELPS VISUALIZE ELECTRICCURRENTS IS THAT OF WATER FLOW. CHARGES ARE VISUALIZED AS WATER PARTICLES

+

++

)(tq

+

EXAMPLE

])[120sin(104)( 3 Cttq π−×=

=)(ti )120cos(120104 3 tππ×× − ][A

][)120cos(480.0)( mAtti ππ=

EXAMPLE

≥<

= − 0

00)( 2 tmAe

tti t

FIND THE CHARGE THAT PASSES DURING IN THE INTERVAL 0<t<1

== ∫ −1

0

2 dxeq x)

2

1(

2

1

2

1 021

0

2 eee x −−−=− −−

FIND THE CHARGE AS A FUNCTION OF TIME

∫ ∫∞− ∞−

−==t t

xdxedxxitq 2)()(

0)(0 =⇒≤ tqt

∫ −− −==⇒>t

tx edxetqt0

22 )1(2

1)(0

And the units for the charge?...

)1(2

1 2−−= eq Units?

1 2 3 4 5 610−

102030

Charge(pC)

Time(ms)

Here we are given thecharge flow as functionof time.

)/(10100102

10101010 93

1212

sCs

Cm −

−

−−×−=

−××−×−=

1 2 3 4 5 610−

102030

Time(ms)

) Current(nA

40

20−

DETERMINE THE CURRENT

To determine current we must take derivatives.PAY ATTENTION TOUNITS

CONVENTION FOR CURRENTS

IT IS ABSOLUTELY NECESSARY TO INDICATETHE DIRECTION OF MOVEMENT OF CHARGED PARTICLES.

THE UNIVERSALLY ACCEPTED CONVENTION INELECTRICAL ENGINEERING IS THAT CURRENT ISFLOW OF POSITIVE CHARGES.AND WE INDICATE THE DIRECTION OF FLOWFOR POSITIVE CHARGES -THE REFERENCE DIRECTION-

A POSITIVE VALUE FORTHE CURRENT INDICATESFLOW IN THE DIRECTIONOF THE ARROW (THEREFERENCE DIRECTION)

A NEGATIVE VALUE FORTHE CURRENT INDICATESFLOW IN THE OPPOSITEDIRECTION THAN THE REFERENCE DIRECTION

a b

a

a

ab

b

b

A3

A3− A3

A3−

THE DOUBLE INDEX NOTATION

IF THE INITIAL AND TERMINAL NODE ARELABELED ONE CAN INDICATE THEM AS SUBINDICES FOR THE CURRENT NAME

a bA5 AIab 5=

AIab 3=

AIba 3−=

AIab 3−=

AIba 3=

POSITIVE CHARGESFLOW LEFT-RIGHT

POSITIVE CHARGESFLOW RIGHT-LEFT

baab II −=

This example illustrates the various waysin which the current notation can be used

b

a

I

A3

==−=

ab

cb

I

AI

AI

4

2

A2

c

CONVENTIONS FOR VOLTAGES

ONE DEFINITION FOR VOLT TWO POINTS HAVE A VOLTAGE DIFFERENTIAL OFONE VOLT IF ONE COULOMB OF CHARGE GAINS (OR LOSES) ONE JOULE OF ENERGY WHEN IT MOVES FROM ONE POINT TO THE OTHER

+ a

b

C1

IF THE CHARGE GAINSENERGY MOVING FROMa TO b THEN b HAS HIGHERVOLTAGE THAN a.IF IT LOSES ENERGY THENb HAS LOWER VOLTAGETHAN a

DIMENSIONALLY VOLT IS A DERIVED UNIT

sA

mN

••==

COULOMBJOULE

VOLT

VOLTAGE IS ALWAYS MEASURED IN A RELATIVE FORM AS THE VOLTAGE DIFFERENCE BETWEEN TWO POINTS

IT IS ESSENTIAL THAT OUR NOTATION ALLOWS US TO DETERMINE WHICH POINT HAS THE HIGHER VOLTAGE

THE + AND - SIGNS DEFINE THE REFERENCEPOLARITY

V IF THE NUMBER V IS POSITIVE POINT A HAS VVOLTS MORE THAN POINT B.IF THE NUMBER V IS NEGATIVE POINT A HAS|V| LESS THAN POINT B

POINT A HAS 2V MORETHAN POINT B

POINT A HAS 5V LESSTHAN POINT B

THE TWO-INDEX NOTATION FOR VOLTAGES

INSTEAD OF SHOWING THE REFERENCE POLARITY WE AGREE THAT THE FIRST SUBINDEX DENOTESTHE POINT WITH POSITIVE REFERENCE POLARITY

VVAB 2=

VVAB 5−= VVBA 5=BAAB VV −=

ENERGYVOLTAGE IS A MEASURE OF ENERGY PER UNIT CHARGE…

CHARGES MOVING BETWEEN POINTS WITH DIFFERENT VOLTAGE ABSORB ORRELEASE ENERGY – THEY MAY TRANSFER ENERGY FROM ONE POINT TO ANOTHER

BASIC FLASHLIGHT Converts energy stored in batteryto thermal energy in lamp filamentwhich turns incandescent and glows

The battery supplies energy to charges.Lamp absorbs energy from charges.The net effect is an energy transfer

EQUIVALENT CIRCUIT

Charges gainenergy here

Charges supplyEnergy here

WHAT ENERGY IS REQUIRED TO MOVE 120[C] FROMPOINT B TO POINT A IN THE CIRCUIT?

VVAB 2=

JVQWQ

WV 240==⇒=

THE CHARGES MOVE TO A POINT WITH HIGHERVOLTAGE -THEY GAINED (OR ABSORBED) ENERGYTHE CIRCUIT SUPPLIED ENERGY TO THE CHARGES

ENERGYVOLTAGE IS A MEASURE OF ENERGY PER UNIT CHARGE…CHARGES MOVING BETWEEN POINTS WITH DIFFERENT VOLTAGE ABSORB ORRELEASE ENERGY

VVAB 5=

−

+V5

WHICH POINTHAS THE HIGHER VOLTAGE?

THE VOLTAGEDIFFERENCE IS 5V

EXAMPLEA CAMCODER BATTERY PLATE CLAIMS THATTHE UNIT STORES 2700mAHr AT 7.2V.WHAT IS THE TOTAL CHARGE AND ENERGYSTORED?

CHARGETHE NOTATION 2700mAHr INDICATES THATTHE UNIT CAN DELIVER 2700mA FOR ONE FULL HOUR

][1072.9

13600102700

3

3

C

HrHr

s

S

CQ

×=

××

×= −

TOTAL ENERGY STOREDTHE CHARGES ARE MOVED THROUGH A 7.2VVOLTAGE DIFFERENTIAL

][10998.6

][2.71072.9][

4

3

J

JC

JVCQW

×=

××=

×=

ENERGY AND POWER

2[C/s] PASSTHROUGH THE ELEMENT

EACH COULOMB OF CHARGE LOSES 3[J]OR SUPPLIES 3[J] OF ENERGY TO THE ELEMENT

THE ELEMENT RECEIVES ENERGY AT A RATE OF 6[J/s]

THE ELECTRIC POWER RECEIVED BY THEELEMENT IS 6[W]

HOW DO WE RECOGNIZE IF AN ELEMENTSUPPLIES OR RECEIVES POWER?

VIP =IN GENERAL ∫=

2

1

)(),( 12

t

t

dxxpttw

PASSIVE SIGN CONVENTION

POWER RECEIVED IS POSITIVE WHILE POWERSUPPLIED IS CONSIDERED NEGATIVE

A CONSEQUENCE OF THIS CONVENTION IS THAT

THE REFERENCE DIRECTIONS FOR CURRENT AND

VOLTAGE ARE NOT INDEPENDENT -- IF WE

ASSUME PASSIVE ELEMENTS

a b

−+ abV

abI

ababIVP =

IF VOLTAGE AND CURRENTARE BOTH POSITIVE THECHARGES MOVE FROM HIGH TO LOW VOLTAGE AND THE COMPONENTRECEIVES ENERGY --IT ISA PASSIVE ELEMENT

a b

−+ abVGIVEN THE REFERENCE POLARITY

a babI

IF THE REFERENCE DIRECTION FOR CURRENTIS GIVEN

−+THIS IS THE REFERENCE FOR POLARITY

REFERENCE DIRECTION FOR CURRENT

a b

−+ abV

VVab 10−=

EXAMPLE

THE ELEMENT RECEIVES 20W OF POWER.WHAT IS THE CURRENT?

abI

SELECT REFERENCE DIRECTION BASED ONPASSIVE SIGN CONVENTION

ababab IVIVW )10(][20 −==][2 AIab −=

A2

Voltage(V) Current A - A' S1 S2positive positive supplies receivespositive negative receives suppliesnegative positive receives suppliesnegative negative supplies receives

S2S1

We must examine the voltage across the componentand the current through it

0,0 <> ABAB IV1S ON

0,0 '''' >> BABA IV2S ON

A A’

B B’

''''2

1

BABAS

ABABS

IVP

IVP

==

UNDERSTANDING PASSIVE SIGN CONVENTION

0,0 '''' >< BABA IV

S2 ON

−

+V

I

CHARGES RECEIVE ENERGY.THIS BATTERY SUPPLIES ENERGY

CHARGES LOSE ENERGY.THIS BATTERY RECEIVES THE ENERGY

WHAT WOULD HAPPEN IF THE CONNECTIONS ARE REVERSEDIN ONE OF THE BATTERIES?

DETERMINE WHETHER THE ELEMENTS ARE SUPPLYING OR RECEIVING POWERAND HOW MUCH

a

b

a

b

WHEN IN DOUBT LABEL THE TERMINALSOF THE COMPONENT

AIab 4=

VVab 2−=

WP 8−= SUPPLIES POWER

VVab 2=

A2

AIab 2=

WP 4= RECEIVES POWER

1

2

1

2

AIVV 4,12 1212 −== AIVV 2,4 1212 ==

SELECT VOLTAGE REFERENCE POLARITYBASED ON CURRENT REFERENCE DIRECTION

−

+

)5(][20 AVW AB ×=−

][4VVAB −= −

+

IVW ×−= )5(][40

][8 AI −=

SELECT HERE THE CURRENT REFERENCE DIRECTIONBASED ON VOLTAGE REFERENCE POLARITY

A2−

)2(][40 1 AVW −×=

][201 VV −=

IVW ×=− ])[10(][50

][5 AI −=

WHICH TERMINAL HAS HIGHER VOLTAGE AND WHICH IS THE CURRENT FLOW DIRECTION

+-

−

+V24

−+ V6

−

+V18

A2

A2

123

P1 = 12WP2 = 36WP3 = -48W

)2)(6(1 AVP =

)2)(18(2 AVP =

)2)(24()2)(24(3 AVAVP −=−=

IMPORTANT: NOTICE THE POWER BALANCE IN THE CIRCUIT

COMPUTE POWER ABDORBED OR SUPPLIED BY EACH ELEMENT

CIRCUIT ELEMENTS

PASSIVE ELEMENTS

INDEPENDENT SOURCES

VOLTAGE DEPENDENTSOURCES

CURRENTDEPENDENTSOURCES

?,,, βµ rg FOR UNITS