ELC 106.2 Student Manual Rev 4

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    Outline of the Laboratory Exercise in Circuits II

    Laboratory Activity 1: Second Order Circuits (simulation*)To become familiar with the second order circuit and the different tyes of natural

    resonse associated with it!

    Laboratory Activity ": Second Order Circuits: #LC (simulation*)

    To become familiar with the #LC series circuit and the different tyes of natural resonse

    associated with it!

    Laboratory Activity $: %arallel #LC Circuit & (simulation*)

    To become familiar with the arallel #LC circuit and the different tyes of natural

    resonse associated with it!

    Laboratory Activity ': Comlete #esonse of Second Order Circuits

    To study the comlete resonse of second order circuits!

    Laboratory Activity : %arallel #LC Circuit &&

    To become familiar with actual comonents used in arallel #LC circuit and the differenttyes of natural resonse associated with it!

    Laboratory Activity : #C ilter Circuit &

    To become familiar with an #C lowass filter circuit!

    Laboratory Activity +: #C ilter Circuit &&

    To become familiar with an #C hi,hass filter circuit!

    Laboratory Activity -: #C ilter Circuit &&&To become familiar with an #C bandass filter circuit!

    Laboratory Activity .: #C &nte,rator CircuitTo study an #C inte,rator circuit!

    Laboratory Activity 1/: #0S olta,e

    To study the #0S values of different volta,e waveforms!

    Laboratory Activity 11: ilter Circuit %roblem

    To aly the 2nowled,e of an #C filter circuit to a roblem

    Laboratory Activity 1": ilter Circuit %roblem "

    To aly the 2nowled,e of transfer function to a roblem!

    Laboratory Activity 1$: Transformer &To study the roerties of a transformer!!

    %ro3ect4

    *simulation: if comuters are not available5 start with laboratory activity ' and as2 the students to do labs 1 to $ one

    ,rou at a time usin, the comuter in the laboratory while the rest are doin, lab ' onwards!

    1

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    Laboratory Activity 1

    Second Order Circuits

    A! Aim

    To become familiar with the second order circuit and the different tyes of natural

    resonse associated with it!

    6! The Second Order Circuit

    7sin, the electronic LTSice&5 construct the circuit shown in i,! 1 below!

    i,! 1 Series #LC Circuit

    Clic2 8Simulate9 and then clic2 8dit Simulation Command9! nter at 8Sto Time9 bo; and

    ut a chec2 the bo; for 8Start e;ternal

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    the terminal of caacitor above ,round! Once it touches the wire5 a volta,e robe will aear!

    Clic2 the left button and observe the lot ,enerated!

    Observe the volta,e5 (n//$) across the "/ m caacitor! The label n//$ refers to the node

    number of the wire connection! Then move the robe until it touches the caacitor device! A

    current robe will aear with red arrow showin, the direction of the current! Then left clic2 themouse button! The current across the caacitor will be lotted with the current a;is dislayed at

    the ri,ht hand corner!

    i, $! Si,nal %lots for Circuit in i,! 1

    Clic2 the 8iew9 menu and select and clic2 8Sice =etlist9! >ou will see in o u window thete;t in column 1 Table 1! Column " e;lains the meanin,!

    Table 1

    Pop Up

    Spice NetList

    Explanation

    V1 N001 0 9

    R1 N002 N001 5

    C1 N003 0 200m

    L1 N002 N003 1

    .tan 20 stat!p

    .bac"anno

    .en#

    V1 is t$e so!ce %olta&e connecte# to &o!n# no#e 0 an#

    'ie no#e N001. T$e n!mbe 9 is t$e %al!e o( %olta&e

    R1 is t$e esisto connecte# bet'een no#e N001 an# N002

    'it$ 5 o$ms %al!e

    C1 is connecte# bet'een noo#es N003 an# 0 'it$ %al!e o( 200

    mille (aa#s

    L1 is connecte# bet'een no#es N002 an# N003 'it$ %al!e o( 1

    $en)

    .tan is a tansient sim!lation comman# t$at last (o 20

    secs.

    See LTSpice $elp (o (!t$e #etails

    $

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    C! Tools and ?uiment

    1! %ersonal Comuter"! LTSice &

    $! Scilab !"

    1! @enerate the "ndorder ordinary linear differential e?uations (O

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    c! 7sin, Scilab for tDE/:!:"/F5 %lot (n//$)!

    d! Comare it with your simulation lot!

    e! Hhat is the natural fre?uencyGf! #esonant fre?uencyG

    ,!

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    Laboratory Activity 2

    Second Order Circuits: RLC

    A! Aim

    To become familiar with the Source ree#LC series circuit and the different tyes of

    natural resonse associated with it!

    The #LC Series Circuit

    i, "!1 Source ree #LC Circuit

    Construct the circuit in i, "!1 in LTSice&! iew your sice netlist! &t should be identical to

    the one shown in i, "!"

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    i, "!" =etSice List of the circuit in i,! "!1

    #un the simulation and view the waveforms of (n//)5 (n//$)! Then double clic2 on

    (n//') to clear and lot (n//') only and then sin,le clic2 (n//) to lot it in suerosition!&t should aear similar to i, "!$

    S1 switched on for 1/ ms and turned off afterwards! This is to char,e caacitor C1 for 1/ ms!Then S" turned on after an interval of "/ ms! Another 1/ ms interval when both switch S1 and

    S" were oened ensured isolation of #LC from suly volta,e 1!

    6! Activities

    1! #elace # with "// ohms and show the (n//) and (n//$) waveform! Try # D //5125 and 1/2!

    "! Hrite the differential e?uation in term of IirchoffJs olta,e Law!

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    '!

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    Laboratory Activity

    Second Order Circuits: RLC

    a! Aim

    To become familiar with the Source ree#LC arallel circuit and the different tyes of

    natural resonse associated with it!

    6! The #LC %arallel Circuit

    i, $!1 Source ree #LC Circuit

    Construct the circuit in i, $!1 in LTSice&! L1D1 K5 C1D!"/ 5 #D15 1D"5 &1D$! Study the

    switches timin,s and the volta,e and current sources! =ote that sources are time defined! #un

    the simulation and lot the (n//$) node! &t should loo2 the same as i,! $!"

    i, $!" LTSice %lot of (n//$) and &(L1)

    .

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    b! Activities

    1! #elace the time define current source with $ A constant source and observe the chan,esin the lot! ;lain what haened!

    i, $!$ LTSice %lot of (n//$) and &(L1) with constant current source of $A

    ;lanation: The LTSice emloys ideal current source! Kence5 even if the switch is oen5 the

    current is still forced throu,h the inductor! Kence inductor current remain constant after a lon,

    eriod of tiem! #estore the current source ori,inal confi,uration!

    "!

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    Com#lete Res#onse of Second Order Circuits

    S$ECIAL AC%I&I%': LA(ORA%OR' RE$OR%

    After answerin, the usual e;ercises and ?uestions in Laboratory Activity '5 you arere?uired to submit a Laboratory #eort! ollow the laboratory reort ,uidelines!

    A! Aim

    To study the comlete resonse of second order circuits!

    6! %he Second Order Circuit

    Construct the circuit shown in i, '!1 in LTSice& simulation software!

    i,! '!1 LTSice& Circuit Confi,uration

    #un the simulation circuit in i, '!1 for / ms! %robe (n//1) node5 the outut of

    LT1//1 Oerational amlifier! 1D*sin("///*t)

    1

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    i, '!" LTSice& lot of (n//1)

    C! %reliminary Activities

    1! The ?uivalent circuit of O Am in i, '!1 is shown in i,! '!"! ary the ,ain @ and

    see what haen to the outut n//1!

    "! 7sin, Lalace Transform solve for the articular solution of (n//1)! %lot in Scilab

    (n//1) for tDE/:!!/1:F*1d$! Hhy is it the fre?uency is about $1- K!

    $! #elace 1 with constant v source! #un the LTSice& simulaton and obtain the lot

    for (n//1)! 7sin, Lalace Transform solve for the articular solutin of (n//1)! %lot inScilabe (n//1) and chec2 if you have the same lot with LTSice!

    i, '!$ ?uivalent Circuit of O Am in i,! '!1

    1

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    Construct the second order circuit shown above in abreadboard! The 1 u caacitor is an electrolytic caacitor

    (uniolar) so ma2e sure that the 1 u caacitorJs ne,ative

    terminal is connected to ,round! or the /!1" 5 use two/!" caacitors or /!1" caacitor! or the OAm5

    M D M1" and D 1" ! 7se O% A0% +'1 with in

    Connection shown in i,! '!'

    Set the function ,enerator to simulate cos ("///t)5 s2etch

    the inut (s) and outut (out) volta,es in Table '!1!

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    inally5 set the function ,enerator to outut a s?uare wave with fre?uency of 1// 2K! S2etch the

    inut (s) and ouut (out) volta,es in Table '!'!

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    %able "!"

    ) * S+etch of &s and &out,

    (')

    ) * S+etch of &s and &out,

    %able "!-

    ) * S+etch of &s and &out,

    ()

    ) * S+etch of &s and &out,

    1

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    1

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    Laboratory Activity -

    Current Sources Circuit

    A! Aim

    To become familiar with current sources circuit throu,h simulation and actual circuit

    e;eriment!

    %he Current Sources

    i, !1 Constant Current Sources

    Construct the circuit in your LTSice& simulation as shown in i,! !1! #un the simulation and

    note the volta,e (n//") and current &1! #un the simulation for values of #1D 15 1//5 125 1/25and 1//2! Hhat do you observeG

    Construct the circuit in your LTs-ice& simulation as shown in i,! !"! stimate the ma;imumvalue of #1 wherein the circuit continues to oerate as constant current ,enerator!

    The circuit in i,! !$ is a revision of the circuit in i,! !"! Construct it! &t made use of currentmirror! ind out how current mirror oerate!

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    i, !$ &mrovement over circuit in i,! !" usin, current mirror

    C! Laboratory Exercise $ro#er

    Construct the circuit in i,! !'! Set your si,nal ,enerator as shown! &t should ,enerate s?uare

    waves at 1 2h! 7sin, an oscilloscoe5 measure (n//')!

    i, !' Constant Current @enerator Alied on Caacitor

    1

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    S2etch the waveform of (n//') in Table !1! stimate the sloe of the curve!

    %able -!1

    ) * S+etch of &)n.."*

    (1)

    Chan,e the fre?uency of si,nal ,enerator to " 2h! S2etch the waveform in Table !" andestimate the sloe!

    %able -!2

    ) * S+etch of &)n.."*

    (1)

    1

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    #elace the caacitor with /!/ uf! Set the si,nal ,enerator fre?uency bac2 to 12h! S2etch the

    (n//') in Table !$! stimate the sloe of the curve

    %able -!

    ) * S+etch of &)n.."*

    (1)

    Chan,e the fre?uency to " 2h! S2etch the curve in Table !'! stimate the sloe!

    %able -!") * S+etch of &)n.."*

    (1)

    "

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    Hrite the O

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    #eference:

    8