ECA Lecture 1

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    Copyrights © Syed Usama Yunas , Faculty Member ElectricalEngineering Department

    COMSA S !nstitute o" !n"ormation echnology, Attoc# Campus

    Circuit Variables

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    Helps to produce, transmit and measure electricalsi nals!Helps to produce s"stems t at meet our real li$eneeds!

    T ere are $our ma%or cate ories o$ electricals"stems

    Communication Systems (tele&ision e'uipment, radiotelescopes, atellite s"stems, radar s"stems and telep ones"stems)!Computer Systems (calculators, personal computers andsupercomputers)!Control Systems (controllin temperatures, pressuresand o* rates in re+neries mec anisms in doors, li tsand ele&ators automatic s"stems li-e autopilot and auto.landin )!Signal $rocessing Systems (ima e processin s"stems

    Introduction to /lectrical /n ineerin

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    T e International "stem o$ nits is used b" allma%or en ineerin societies most en ineerst rou out t e *orld!

    T e I units are based on se&en de+ned 'uantities,listed *it t eir basic units and s"mbols in t e

    $ollo*in table

    T e International "stem o$ nits

    %uantity &asic Unit Sym'olLen t 3eter m3ass 4ilo ram -

    Time econd s/lectric current 5mpere 5

    T ermod"namictemp

    6e ree 4el&in 4

    5mount o$substance

    3ole mol

    Luminous intensit" Candela cd

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    ome standardi7ed pre+8es used b" en ineers areas $ollo*s,

    tandardi7ed 9re+8es

    Prefix Symbol Power of 10

    tera T 10 12

    giga G 109

    mega M 106

    kilo k 103

    milli m 10-3

    micro µ 10-6

    nano n 10-9

    pico P 10-12

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    /lectric c ar e is t e most $undamental concept in/C5!C ar e is bipolar, eit er can be ne ati&e orpositi&e! ;or e8ample, electrons a&e ne ati&ec ar e and protons a&e positi&e c ar e!

    C ar e e8ists in discrete 'uantities * ic areinte ral multiples o$ electronic c ar e, 1! C! 5 sin le electron as ne ati&e c ar e o$.1! C and sin le proton as a positi&e

    c ar e o$ 1!

    C!/lectrical e?ects are attributed due to t eseparation and motion o$ c ar es!

    /lectric C ar e

    <

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    T e electrical e?ect caused b" t e c ar es inmotion is called electrical current!/lectrical current depends upon t e rate o$ o* o$c ar e and can be e8pressed as,

    i $ d%&dt

    * ere i @ current in amperes % @ c ar e in coulombs

    t @ time in seconds

    Current

    A

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    5n ideal basic circuit element as t e $ollo*in attributes:

    1! It as onl" t*o terminals * ic are points o$ connectionto ot er circuit components!

    2! It is described usin current and &olta e!0! It cannot be subdi&ided into sub elements!

    T e polarit" re$erence is used $or t e &olta e is indicated b"plus and minus si n! T e direction re$erence is used $or t ecurrent is indicated b" t e current si n! Dot re$erences $or&olta e and current can be summari7ed as $ollo*s,

    Ideal Dasic Circuit /lement

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    9assi&e si n con&ention states t at‘Whenever the reference direction for thecurrent in an element is in the direction ofreference voltage drop, use a positive sign

    convention to related voltage and currentotherwise use a negative sign’

    9assi&e i n Con&ention

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    T e use$ul output $rom t e s"stem iscon&entionall" e8pressed in terms o$ po*er andener "!9o*er is t e time rate o$ e8pandin or absorbinener "! ;or e8ample, a *ater pump rated A -B

    can deli&er more litres per second t an t e onerated A! -B!3at ematicall", po*er can be e8pressed in termso$ ener " and time as

    p = dw/dt where p @ po*er in *atts

    ( @ ener " in %oules t @ time in seconds

    9o*er and /ner "

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    In terms o$ &olta e and current, po*er can bee8pressed as

    p = dw/dt p = (dw/dq ! (dq/dt

    p = viwhere p @ po*er in *atts

    ' @ &olta e in &olts i @ current in amperes

    9o*er and /ner "(continuedE)

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    I$ po*er is positi&e, po*er is bein deli&ered to t ecircuit inside t e bo8! I$ po*er is ne ati&e, po*er isbein e8tracted $rom t e circuit inside t e bo8!

    sin passi&e si n con&ention, po*er can bee8pressed in t e $ollo*in $our *a"s

    9o*er and /ner "(continuedE)

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    ;i&e basic circuit elements are1" #oltage sources2" $urrent sources%" &esistors'" nductors)" $apacitors* ic can be classi+ed on t e basis o$ ener "

    eneration as, Acti'e Elements) Circuit elements capable o$

    eneratin electrical ener " are called acti&eelements! ;or e8ample, &olta e and currentsources!*assi'e Elements) Circuit elements t at cannot

    enerate electrical ener " are called passi&e

    Dasic Circuit /lements

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    Dasicall" electrical source is a de&ice t at iscapable o$ con&ertin nonelectrical ener " toelectric ener " or &ice &ersa!

    ;or e8ample, disc ar in batter" co&erts c emicalener " to electrical ener "! On t e ot er and,

    c ar in batter" con&erts electrical ener " toc emical ener "!!deal +oltage Source)

    Ideal &olta e source is a circuit element t at

    maintains a prescribed &olta e across its terminalre ardless o$ t e current o*in in t ose terminal!!deal Current Source)

    Ideal current source is a circuit t at maintains a

    prescribed current t rou its terminals re ardlesso$ t e &olta e across t ose terminals!

    Volta e and current sources

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    Dependent sources) T ese sources depend upon ot er &olta e andcurrent sources to maintain &olta e or current in acircuit! 6ependent sources are also calledcontrolled sources! T e circuit s"mbols are as

    $ollo*s,

    (a) Dependent +oltage!Controlled +oltage Source (') Dependent+oltage!Controlled Current Source

    Volta e and current sources(continuedE)

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    Let us test some interconnections o$ dependent andindependent sources

    Valid Valid

    In&alid In&alid

    Volta e and current sources(continuedE)

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    In&alid Valid

    Valid In&alid

    Volta e and current sources(continuedE)

    1>

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    /8ample 1:

    1! ;ind V so t at t e interconnection remains&alid!2! ;ind t e po*er associated *it 5 source!

    Volta e and current sources(continuedE)

    2=

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    /8ample 2:

    1! ;ind F $or t e interconnection to be &alid!2! ;ind t e po*er associated *it 2 V source!

    Volta e and current sources(continuedE)

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