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  • 8/9/2019 Session One Notes1

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    ECTL La bs

    Electronics and Computers T raining Labs=========================================================

    //) ) ) ) ))

    ) ) ) @_@) Core Electronics Course Day 1 Notes( ( ( = ) [July 2010]

    ) ) ) - (_ __

    / `-'\\ /,\\\`

    =========================================================Core Electronics CourseResistor Applications: 1-L-Section AttenuatorThe schematic:

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    The at t enuat ors propert ies:

    1-Input Resist ance [ Equivalent Resist ance bet ween t he t wo

    t erminals of t he at t enuat or when connect ed t o t he load must =R

    Where R is t he Source Resist ance= L oad Resist ance

    Why?t o make t he [ L -sect ion + The L oad] r eceives t he maximum

    power f rom t he sour ce + minimize t he ref lect ions of t he

    radiat ion come out f rom t he source [ Ref lect ions in t he light

    occur s due t o passing t hr ough d if f erent mat erials , in

    elect romaget ic c ircuit s ;it is occur red when passing t hr ough

    d if f erent resist ances[ Impedance in general]

    2-The ratio between the output voltage to the input voltage is the

    attenuation ratio =1/k

    K =Inverse of t he at t enuat ion rat io.

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    2in Sourcein

    2out out Load

    Source Load

    In dB [Decibel] notation

    dB=10*log (Power Ratio)

    or

    dB=20*log (Voltage Ratio)

    V /RP[As 10*log 10*log

    P V /R

    {Here R =R and generally we do

    Resistance normalization (Assume tha

    =>

    =

    2in in in

    2out outout

    t R=1) }

    P V VSo 10*log 10*log 20*log ]

    P VV= =

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    Applying KCL @the input node:

    Rg R1

    Rg

    R1

    g in in out

    1

    g in

    g in in in in

    in

    I =I

    I =current through the source resistance

    I =current through the first attenuator resistance

    V -V V -VSo :

    R Ras V =2V so the numenator in

    the first fraction =V -V 2V -V =V

    VSo

    R

    =

    =

    in out in out in1

    1 in out

    out

    1

    V -V V -V VSo R =R* But K=

    R V V

    So dividing both numenator and denumenator by Vk-1

    R R*k

    =

    =

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    Applying KCL @the output node:

    R1 R2 Rout

    R1

    R2

    Rout

    in out out out

    1 2

    in

    out

    I I +I

    I =current through the first attenuator resistance

    I =current through the Second attenuator resistance

    I =current through the load resistance

    V -V V VSo :

    R R R

    VBut K=

    V

    So

    =

    = +

    out

    1 2

    1

    dividing both sides by V

    k-1 1 1

    R R R

    k-1But R =R* So

    k

    k-1

    = +

    k-1R* 2

    22 2

    1 1 thenR R

    kK 1 1 K-1 1 R

    So = So R =R R R R R K-1

    = +

    = +

    The f inal deduc t ion : Given values of k[ 1/A t t enuat ionf ac t or] and R[ sour ce=load resist ance]

    Then

    1 2

    K-1 RR =R * and R =

    K K-1

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    The homework[for those who dont get the hardcopy material]Prove for a [L-Section Type B] attenuator as shown in the following figure;

    Values of R1and R2 are ;represectively ; equal =>

    1

    2

    KR =R ( )K-1

    R =R (K-1)

    where K =I nverse of t he at t enuat ion rat io.

    in

    out

    VK=

    V=10 dB = 3.16 A bsolu t e.

    and R= Load Impedance = Source Impedance=50 Ohm.

    Then verify for attenuation value=10dBR1= 73.12 OhmR2=108.11Ohm