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Page 1: Amplifiers. BASIC AMPLIFIER CONCEPTS Ideally, an amplifier produces an output signal with identical waveshape as the input signal, but with a larger

Amplifiers

Page 2: Amplifiers. BASIC AMPLIFIER CONCEPTS Ideally, an amplifier produces an output signal with identical waveshape as the input signal, but with a larger
Page 3: Amplifiers. BASIC AMPLIFIER CONCEPTS Ideally, an amplifier produces an output signal with identical waveshape as the input signal, but with a larger
Page 4: Amplifiers. BASIC AMPLIFIER CONCEPTS Ideally, an amplifier produces an output signal with identical waveshape as the input signal, but with a larger
Page 5: Amplifiers. BASIC AMPLIFIER CONCEPTS Ideally, an amplifier produces an output signal with identical waveshape as the input signal, but with a larger

BASIC AMPLIFIER CONCEPTS

Ideally, an amplifier produces an output signal with identical waveshape as the input signal, but with a larger amplitude.

tvAtv ivo

Page 6: Amplifiers. BASIC AMPLIFIER CONCEPTS Ideally, an amplifier produces an output signal with identical waveshape as the input signal, but with a larger

Inverting Amplifiers

Inverting amplifiers have negative voltage gain, and the output waveform is an inverted version of the input waveform.

Page 7: Amplifiers. BASIC AMPLIFIER CONCEPTS Ideally, an amplifier produces an output signal with identical waveshape as the input signal, but with a larger

Non-inverting Amplifiers

Non-inverting amplifiers have positive voltage gain amplify the input signals.

Page 8: Amplifiers. BASIC AMPLIFIER CONCEPTS Ideally, an amplifier produces an output signal with identical waveshape as the input signal, but with a larger

Voltage-Amplifier Model

Ri: input resistance Ro: output resistanceAvo: Open loop voltage gain ( vo / vi )

Page 9: Amplifiers. BASIC AMPLIFIER CONCEPTS Ideally, an amplifier produces an output signal with identical waveshape as the input signal, but with a larger

Voltage-Amplifier Model

Ri: input resistance Ro: output resistanceAvo: Open loop voltage gain ( vo / vi )

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1. It will ensure vs is not degraded.2. It enhances the power efficiency as limited power is drawn from the signal source.

Page 10: Amplifiers. BASIC AMPLIFIER CONCEPTS Ideally, an amplifier produces an output signal with identical waveshape as the input signal, but with a larger

Voltage-Amplifier Model

Ri: input resistance Ro: output resistanceAvo: Open loop voltage gain ( vo / vi )

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Page 11: Amplifiers. BASIC AMPLIFIER CONCEPTS Ideally, an amplifier produces an output signal with identical waveshape as the input signal, but with a larger

Current Gain

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Page 12: Amplifiers. BASIC AMPLIFIER CONCEPTS Ideally, an amplifier produces an output signal with identical waveshape as the input signal, but with a larger

Power Gain

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Page 13: Amplifiers. BASIC AMPLIFIER CONCEPTS Ideally, an amplifier produces an output signal with identical waveshape as the input signal, but with a larger

CASCADED AMPLIFIERS

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Page 14: Amplifiers. BASIC AMPLIFIER CONCEPTS Ideally, an amplifier produces an output signal with identical waveshape as the input signal, but with a larger

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Avo=Avo1*Avo2=200*100=20000Not agree with the calculationWhy? As Ro1≠0, Ro2 ≠0

Page 15: Amplifiers. BASIC AMPLIFIER CONCEPTS Ideally, an amplifier produces an output signal with identical waveshape as the input signal, but with a larger

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If Ro1=Ro2=0

Desirable output resistance as smallas possible.

Page 16: Amplifiers. BASIC AMPLIFIER CONCEPTS Ideally, an amplifier produces an output signal with identical waveshape as the input signal, but with a larger

Operational Amplifier

1. Ideal Op-Amp and its analysis2. Practical Op-Amp and its limitations3. Application of Op-Amp

Page 17: Amplifiers. BASIC AMPLIFIER CONCEPTS Ideally, an amplifier produces an output signal with identical waveshape as the input signal, but with a larger

IDEAL OPERATIONAL AMPLIFIERS

Page 18: Amplifiers. BASIC AMPLIFIER CONCEPTS Ideally, an amplifier produces an output signal with identical waveshape as the input signal, but with a larger

Power Supply Connection of Op-amp

Page 19: Amplifiers. BASIC AMPLIFIER CONCEPTS Ideally, an amplifier produces an output signal with identical waveshape as the input signal, but with a larger

Characteristics of Ideal Op Amp

Infinite gain for the differential input signal

Infinite input impedance

Zero output impedance

Zero gain for the common-mode input signal

Infinite bandwidth

Page 20: Amplifiers. BASIC AMPLIFIER CONCEPTS Ideally, an amplifier produces an output signal with identical waveshape as the input signal, but with a larger

OP-Amp Model

Page 21: Amplifiers. BASIC AMPLIFIER CONCEPTS Ideally, an amplifier produces an output signal with identical waveshape as the input signal, but with a larger

Ideal OP-Amp•Rin = ∞, so that it will not draw any power fromthe input signals•Rout = 0so that it will not degrade the signal due to the output resistance•Avd = ∞ it is to amplify the differential signals•Avcommon = 0 it is to reject any common mode input signalsBandwidth = ∞ so that it can be used for any signal spectrum

Page 22: Amplifiers. BASIC AMPLIFIER CONCEPTS Ideally, an amplifier produces an output signal with identical waveshape as the input signal, but with a larger

i1

i2

Ideal op-amp rule1. No current ever flows into either input terminal. i1, i2 = 0

2. There is no voltage difference between the two input terminals v- = v+

We call this Summing Point Constraint

_

+

V-

V+

i1

i2

Page 23: Amplifiers. BASIC AMPLIFIER CONCEPTS Ideally, an amplifier produces an output signal with identical waveshape as the input signal, but with a larger

Ideal Op-Amp

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Page 24: Amplifiers. BASIC AMPLIFIER CONCEPTS Ideally, an amplifier produces an output signal with identical waveshape as the input signal, but with a larger

Negative Feedback Effect• The effect of the feedback connection from the

output to the inverting input is to force the voltage at the inverting input to be equal to that at the non-inverting input.

v- = v+It is called ;• summing point constraint, or • virtual ground concept

Page 25: Amplifiers. BASIC AMPLIFIER CONCEPTS Ideally, an amplifier produces an output signal with identical waveshape as the input signal, but with a larger

Illustration of the principle of summing point constraint

As i- and i+ are both zero, then, i1 = i2

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Page 26: Amplifiers. BASIC AMPLIFIER CONCEPTS Ideally, an amplifier produces an output signal with identical waveshape as the input signal, but with a larger
Page 27: Amplifiers. BASIC AMPLIFIER CONCEPTS Ideally, an amplifier produces an output signal with identical waveshape as the input signal, but with a larger

INVERTING AMPLIFIERS

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Page 28: Amplifiers. BASIC AMPLIFIER CONCEPTS Ideally, an amplifier produces an output signal with identical waveshape as the input signal, but with a larger

Practical Design Difficulty

Design an inverting amplifier with gain -100,R1 = 50K, then R2 = 5M , too much for real practical resistor

Page 29: Amplifiers. BASIC AMPLIFIER CONCEPTS Ideally, an amplifier produces an output signal with identical waveshape as the input signal, but with a larger
Page 30: Amplifiers. BASIC AMPLIFIER CONCEPTS Ideally, an amplifier produces an output signal with identical waveshape as the input signal, but with a larger

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Page 31: Amplifiers. BASIC AMPLIFIER CONCEPTS Ideally, an amplifier produces an output signal with identical waveshape as the input signal, but with a larger

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Page 32: Amplifiers. BASIC AMPLIFIER CONCEPTS Ideally, an amplifier produces an output signal with identical waveshape as the input signal, but with a larger

Av = -100, R1 = 50K

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Page 33: Amplifiers. BASIC AMPLIFIER CONCEPTS Ideally, an amplifier produces an output signal with identical waveshape as the input signal, but with a larger

NON-INVERTING AMPLIFIER

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Page 34: Amplifiers. BASIC AMPLIFIER CONCEPTS Ideally, an amplifier produces an output signal with identical waveshape as the input signal, but with a larger

NON-INVERTING AMPLIFIER

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Page 35: Amplifiers. BASIC AMPLIFIER CONCEPTS Ideally, an amplifier produces an output signal with identical waveshape as the input signal, but with a larger

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Page 36: Amplifiers. BASIC AMPLIFIER CONCEPTS Ideally, an amplifier produces an output signal with identical waveshape as the input signal, but with a larger

Voltage Follower

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Page 37: Amplifiers. BASIC AMPLIFIER CONCEPTS Ideally, an amplifier produces an output signal with identical waveshape as the input signal, but with a larger

Differential Amplifier

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Page 38: Amplifiers. BASIC AMPLIFIER CONCEPTS Ideally, an amplifier produces an output signal with identical waveshape as the input signal, but with a larger

Common Mode Rejection

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++_

Vcm

+Vo-

GainVoltageModeCommonVcm

VoAcm

An op-amp is a differential amplifier. It is desirable to rejectany signal in common to V_ and V+ terminal. In other words, Acm should be as small as possible. The quality of rejecting the common mode signal is defined byCMMR (Common mode rejection ratio)

Acm

Avoor

Acm

Avo10log20

Page 39: Amplifiers. BASIC AMPLIFIER CONCEPTS Ideally, an amplifier produces an output signal with identical waveshape as the input signal, but with a larger

Common Mode Rejection CMMRv1= 2 + 3 sin10tVv2= 2V

The common component of the two input signal is 2V.

f

It is desirable for the amplifier to amplify the differenceof v1 and v2, that is 3 sin10t, and not to amplify the common component 2V.

How good the amplifier does to reject the common component is defined by the CMMR.

Page 40: Amplifiers. BASIC AMPLIFIER CONCEPTS Ideally, an amplifier produces an output signal with identical waveshape as the input signal, but with a larger

OP-AMP IMPERFECTIONS IN THE LINEAR RANGEOF OPERATION

Real op amps have several categories of imperfections compared to ideal op amps.

Real op amps have finite input impedance, nonzero output impedance and finite open loop gain

Ri ≠ ∞, Avo ≠ ∞, Ro ≠ 0iin ≠ 0

Page 41: Amplifiers. BASIC AMPLIFIER CONCEPTS Ideally, an amplifier produces an output signal with identical waveshape as the input signal, but with a larger

Bandwidth

Bandwidth = fH-fL

Idea op-amp, the bandwidth is infinity, so that signal at anyfrequency can be amplified by the amplifier.

Practical op-amp, the bandwidth is limited. That is, the gainis not uniform.

Page 42: Amplifiers. BASIC AMPLIFIER CONCEPTS Ideally, an amplifier produces an output signal with identical waveshape as the input signal, but with a larger

The gain at frequency higher than the fBOL is diminished graduallyat a -20dB rate of decline. The unit bandwidth product is to define how good is the frequency response of the amplifier, i. e, how wide is it bandwidth.Unity bandwidth product = Avo*fBOL

Page 43: Amplifiers. BASIC AMPLIFIER CONCEPTS Ideally, an amplifier produces an output signal with identical waveshape as the input signal, but with a larger

LINEAR WAVEFORM DISTORTION

If the gain of an amplifier has a different magnitude for the various frequency components of the input signal, a form of distortion known as amplitude distortion occurs. Due to bandwidth limitation.

Page 44: Amplifiers. BASIC AMPLIFIER CONCEPTS Ideally, an amplifier produces an output signal with identical waveshape as the input signal, but with a larger
Page 45: Amplifiers. BASIC AMPLIFIER CONCEPTS Ideally, an amplifier produces an output signal with identical waveshape as the input signal, but with a larger

Phase Distortion

If the phase shift of an amplifier is not proportional to frequency, phase distortion occurs.

Page 46: Amplifiers. BASIC AMPLIFIER CONCEPTS Ideally, an amplifier produces an output signal with identical waveshape as the input signal, but with a larger
Page 47: Amplifiers. BASIC AMPLIFIER CONCEPTS Ideally, an amplifier produces an output signal with identical waveshape as the input signal, but with a larger

NONLINEAR LIMITATIONS

The output voltage of a real op amp is limited to the range between certain limits that depend on the internal design of the op amp. When the output voltage tries to exceed these limits, clipping occurs.

Page 48: Amplifiers. BASIC AMPLIFIER CONCEPTS Ideally, an amplifier produces an output signal with identical waveshape as the input signal, but with a larger
Page 49: Amplifiers. BASIC AMPLIFIER CONCEPTS Ideally, an amplifier produces an output signal with identical waveshape as the input signal, but with a larger

Slew-Rate Limitation

Another nonlinear limitation of actual op-amp is that the magnitude of the rate of change of the output voltage is limited.

SRdt

dvo

Page 50: Amplifiers. BASIC AMPLIFIER CONCEPTS Ideally, an amplifier produces an output signal with identical waveshape as the input signal, but with a larger
Page 51: Amplifiers. BASIC AMPLIFIER CONCEPTS Ideally, an amplifier produces an output signal with identical waveshape as the input signal, but with a larger

DC IMPERFECTIONS