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    Audio Circuits

    Week 6 - Lecture 2Mark Bocko & Dave Anderson

    Topics: Guitar amplifier schematic Tone control Gain and distortion Speaker cabinet design

    1

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    Full Schematic

    2

    TL072TL072

    Tone Gain Volume

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    Tone control circuit

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    inout-

    +

    5.6 k 50 k

    10 nF

    (1-g)RfgRf

    Cf

    -

    +

    Zf

    Zin

    G =Z

    f

    Zin

    0 g 1

    Zf= (1 g)R

    f+

    1

    jCf

    gRf

    1

    jCf

    + gRf

    G =1

    Rin

    (1 g)Rf+

    gRf

    1 + jgRfC

    f

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    Frequency response versus tonepot setting

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    in out-+

    5.6 k 50 k

    10 nF

    g

    0.0

    0.40.2

    0.8

    0.6

    1.0

    G =1

    Rin(1 g)R

    f+

    gRf

    1 + jgRfCf

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    Gain control - distortion

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    Diode

    I

    + V -

    I = I0

    eV V

    T 1( )

    VT 0.026 V

    V/VT

    -0.5

    0

    0.5

    1

    1.5

    2

    -3 -2 -1 0 1 2 3

    I

    Vin 0

    Rin

    =

    0 Vout

    Rf

    + I0e

    (0Vout

    ) VT 1

    ( )

    KCL: i1 = i2 + i3

    Vin= R

    inI

    0e

    Vout

    VT 1

    V

    out

    Rf

    Vin-

    +

    RinVout

    i1

    i3

    Rfi2

    Cant solve analytically for Vout butwe can use a graphical technique

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    Graphical solution for Vout vs. Vin

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    Vin= R

    inI

    0e

    Vout

    VT 1

    V

    out

    Rf

    Find Vin as a function of

    Vout but then plot it asVout vs. Vin

    But dont forget that thisis an inverting amplifier

    configuration!

    Thats why we plotted themagnitude of the transfer

    function.

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    Making the transfer function symmetrical

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    Vout

    Vin

    D1 conducts for Vin > 0,(Vout will be negative)

    D2 conducts for Vin < 0,(Vout will be positive)

    Vin-

    +

    Rin

    Vout

    Rf

    D1

    D2

    D2 forward

    biased

    D1 forwardbiased

    Initial slope (Gain)is determined by

    Rf/Rin

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    Speaker Cabinet Design

    Guitar amplifiers normallyhave an open back so thecabinet has little acoustical

    effect

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    Bass cabinet design toobtain better bass

    response from theamplifier the cabinetshould be properly sized.

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    Thiele-Small parameters for project speaker

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    Following Robs Week 5 Lecture 1 example

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    fs = 40 HzQts = 0.424VAS = 26.93 liters

    Choose Qcb = 1 so Qcb/Qts = 2.36

    Vas

    Vbox

    =

    Qcb

    Qts

    2

    1V

    as

    Vbox

    = 2.36( )2

    1 = 4.57

    Vbox

    =

    VAS

    4.57=

    26.93

    4.57= 5.89 liters = 5890 cm

    3

    Using the ratio, 0.618 : 1 : 1.618% %

    we find approximately% % %11 cm x 18 cm x 29 cm

    11 cm

    18 cm

    29 cm