Unit 3 Tuned Amplifier

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    TUNED AMPLIFIER

    1

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    The tuning machines (with spiral metalworm gears) are mounted on the back of

    the headstock on the bass guitar neck

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    INTRODUCTION

    A tuned amplifier amplifies specific frequencyor narrow band of frequency and it uses a tunedcircuit i.e. circuit that selects that particular bandof frequencies.

    It has a tuned or resonance circuitpasses onlya relatively narrow band of frequencies.

    The center of this frequency is the resonance

    frequency of the tuned circuit .

    4BY C GOMATHI, SVCE

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    APPLICATION

    Tuned amplifiers are mostly used for the amplification of high or radio frequencies.

    The signals are transmitted by modulation.

    It has a relatively narrow band of frequencies centered around the carrier frequency.

    When it reaches the antenna it induces a weak voltage in it.

    It is not possible to extract the original audio signal from this weak signal.

    It is thus first amplified and this is done at the front end of the radio receiver with the

    help of a tuned amplifier.

    This amplifier not only selects the desired radio frequency signal (corresponding to

    a particular broadcasting station) ,but also amplifies this signal to a suitable level.

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    Simple Transistor Tuned Amplifier

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    Difference between Amplifier and Tuned

    Amplifier

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    ILLUSTRATION

    Consider a tuned amplifier that is designed toamplify only those frequencies that are within

    20 kHz of the central frequency of 1000 kHz.

    f1 = 980 kHz

    fr = 1000 kHz f2 = 1020 kHz

    BW = 40 kHz

    If input signal is within the range of 980 1020

    kHz, it will be amplified. If the frequency of inputsignal goes out of this range, amplification will

    be drastically reduced.8BY C GOMATHI, SVCE

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    CLASSIFICATION

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    Small signal tuned amplifier

    To amplify low frequency signals.

    Power output is low.

    Operated in Class A

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    LARGE SIGNAL TUNED AMPLIFIER

    To amplify large RF signals.

    Power output is more.

    Operated in Class B,class C or class ABmodes.

    Pushpull configuration - reduces harmonicdistortion.

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    12BY C GOMATHI, SVCE

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    Single Tuned Capacitive Coupled Amplifier

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    ANALYSIS

    EQUIVALENT CIRCUT OF SINGLE TUNED AMPLIFIER USING HYBRID PI

    MODEL

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    SIMPLIFIED EQUIVALENT CIRCUT OF

    SINGLE TUNED AMPLIFIER

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    Ci input capacitance. Ceq - output capacitance

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    gce output resistance of currentgenerator.

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    Vid hi lVid hi l

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    Condition for equivalence of Series

    and Parallel circuit

    Equating the admittance of series andparallel circuit.

    Admittance of series combination of RL is

    given as,

    LjRY 1

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    Vid thi lVid thi l

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    19BY C GOMATHI, SVCE

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    Vid thi lVid thi l

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    Centre frequency

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    Vid thi lVid thi l

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    Quality factor,Q

    Unloaded Q

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    Loaded Q

    22

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    Simplified output circuit

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    Effective equivalent Q factor

    RtresistanceShuntofeConductanc

    CecapacitancorLinductanceofeSusceptancQeffective

    teqr RCQeff 24BY C GOMATHI, SVCE

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    Voltage gain

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    3 dB Bandwidth

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    Double Tuned Amplifier

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    Double Tuned Amplifier

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    COUPLING SECTION OF TRANSFORMERCOUPLED DOUBLE TUNED AMPLIFIER

    ANALYSIS

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    EQUIVALENT CIRCUIT

    ANALYSIS

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    TRANSISTOR- current source with R0.

    C1 and L1 - Tank circuits of primary side.

    C2 and L2 - Tank circuits of secondary side.

    R1 is series resistance of inductance L1.

    R2

    is series resistance of inductance L2.

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    Series (R) and parallel (Rp)elements are combinedinto series elements.

    R

    L

    RP

    22

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    ANALYSIS

    SIMPLIFIED EQUIVALENT CIRCUIT

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    y p

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    y p

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    111

    1

    22

    R

    oR

    Lo

    R

    212

    2

    22

    R

    i

    R

    Lo

    R

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    y p

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    Current source is replaced by voltagesource.

    Mutual inductance on primary and

    secondary sides.

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    Q factor for individualtank circuits are, Usually Q factor for bothcircuits are same.

    Q1=Q2=Q

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    y p

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    From equivalent circuit, the output voltageis given as,

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    Consider this circuit

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    Transfer admittance

    Where

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    The simplified equ. Ckt of double tunedamplifier is similar to the previous ckt.

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    On further simplification

    Zf becomes

    K- coefficient of coupling

    For Zi - Multiplying numerator and denominator by

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    Similarly for Zo+Z

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    Then

    BY C GOMATHI, SVCE 43

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    Substituting the value of I2 , i.e Vi X YT

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    Taking magnitude,

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    Universal response curve for double tuned amplifier

    The Frequency deviation

    at gain peaks can be

    found by maximizing Av.

    Equating to zero

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    BY C GOMATHI, SVCE 47

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    Inference from graph

    The two gain peaks in the frequency response canbe given at frequencies,

    At K 2 Q 2= 1,i.e

    i. K= (1/Q),f1= f

    2= f

    r

    This condition critical coupling

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    ii. K < 1/QPoor coupling, peak gain is < max gain.

    iii. K > 1/Q

    Over coupling, peak gain is doubled.

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    BY C GOMATHI, SVCE 50

    The ratio of peak gain and dip gain isdenoted as

    It represents the magnitude of the ripple in

    the gain curve.

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    The bandwidth b/w the freqs at which the

    gain is magnitude of dip gain and it is the

    useful bandwidth of doubled tuned amp.

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    BY C GOMATHI, SVCE 52

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    3dB BW = 2fr/Q single tuned amp.

    3dB BW = 3.1 fr/Q double tuned amp.

    BY C GOMATHI, SVCE 53

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    Effect of cascading single tuned amplifier

    on BW

    Consider n stages of single tuned direct coupledamp. connected in cascade.

    The overall gain is the product of voltage gains of

    individual stages.

    The relative gain of single tuned amp. w.r.t

    resonance freq. is given as,

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    The relative gain of n stage cascadedamplifier becomes

    The 3 dB frequencies for the n stage

    cascaded amplifier can be found by

    equating,

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    BY C GOMATHI, SVCE 56

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    Substituting for frequency deviation

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    Let f1 and f2 be lower 3dB and upper 3dB

    frequencies.

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    The BW on n stage identical amplifier isgiven as,

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    Effect of cascading double tuned

    amplifier on BW

    = 3dB BW of single stage doubletuned amplifier

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    Stagger tuned amplifier

    Improves the overall frequency response.

    Overall response exhibits maximal flatness

    around the centre frequency.

    It needs a number of tuned circuit operating inunion.

    The overall frequency response of a Stagger

    tuned amplifier is obtained by adding theindividual response together.

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    Since the resonant Frequencies ofdifferent tuned circuits are displaced or

    staggered, they are referred as STAGGER

    TUNED AMPLIFIER.

    INCREASED BANDWIDTH

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    Circuit diagram

    BY C GOMATHI, SVCE 63

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    The stagger tuning in this circuit isachieved by resonating the tuned circuits L1

    C1, L2 C2 to slightly different Frequencies.

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    Overall response of stagger tuned

    amplifier

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    Analysis

    BY C GOMATHI, SVCE 66

    Single tuned amplifier with separateresonant frequencies are used in stagger

    tuned amplifier.

    The resonant frequencies are

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    The gain of single tuned amplifier is

    According to this tuned frequencies, the

    selectivity function is given as,

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    BY C GOMATHI, SVCE 68

    The overall gain is product of individualgain of the 2 stages.

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    Substituting for X,

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    Large single tuned amplifier

    Efficiency of tuned amplifier increases asthe operation class A to class C.

    Output power and efficiency are of great

    concern in radio transmission.

    Class C amplifiers are used at the output

    stages in transmitters.

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    Class C tuned amplifier

    BY C GOMATHI, SVCE 71

    The Q point is below the power supplyvalue.

    The output is obtained for less than half

    cycle for full input cycle.

    Conduction Angle The total angle during

    which current flows is less than 180degrees.

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    BY C GOMATHI, SVCE 72

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    Waveform representing class C Amplifier

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    Maximum A.C Power

    When no input signal

    is applied,

    Vce =Vcc.

    When signal is

    applied, it causes Vce

    to swing above and

    below this input

    voltage.

    BY C GOMATHI, SVCE 74

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    BY C GOMATHI, SVCE 75

    Vce can have maximum of 2Vcc andminimum 0 value.

    Output voltage has peak value of Vcc.

    The maximum A.C output power is,

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    ff

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    Maximum Efficiency

    The D.C input power from supply is

    Pd power dissipation of transistor.

    BY C GOMATHI, SVCE 76

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    In class C operation transistor remains offfor most of the input signal cycle.

    So Power dissipation (Pd) for class C

    amplifier is very less.

    Pd can be neglected.

    BY C GOMATHI, SVCE 77

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    A li ti

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    Applications

    BY C GOMATHI, SVCE 78

    Schematic of mixer circuit

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    Mixer with class C amplifier is used inradio receivers.

    BY C GOMATHI, SVCE 79

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    BY C GOMATHI, SVCE 80

    Mixer circuits are used to translate signalfrequency to lower or higher frequencies.

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    St bilit f t d lifi

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    Stability of tuned amplifiers

    When there exist a positive feedback dueto low reactance (collector to base), it

    generates oscillation.

    This causes instability.

    To prevent oscillations,Reduced gain,

    Detuning, detrimental effects on selectivity

    Q reduction,

    neutralization.

    BY C GOMATHI, SVCE 81

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    N t li ti

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    Neutralization

    BY C GOMATHI, SVCE 82

    Neutralization

    Hazeltine

    Neutralization

    Modified

    Hazeltine

    Neutralization

    (Neutrodyne)

    Neutralization

    using coil.

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    H lti N t li ti

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    Hazeltine Neutralization

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    Cn - neutralizing capacitor.

    This capacitor provides signal of oppositepolarity to nullify the effects of collector to

    base capacitor signal.

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    Modified Ha eltine Ne trali ation

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    Modified Hazeltine Neutralization

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    Cn - connected from the lower end of the

    base coil of the next stage to the base of

    the transistor.

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    Neutralization using coil

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    Neutralization using coil.

    BY C GOMATHI, SVCE 87

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    L part of the tuned circuit at the base of

    next stage is oriented for minimum

    coupling to the other winding.

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    Review

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    Review

    Single Tuned Amplifier

    Double Tuned Amplifier

    Stagger Tuned Amplifier

    Class C Tuned Amplifier

    Stability of Tuned Amplifier