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

Jan 21, 2016

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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.

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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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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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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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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.

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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

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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.

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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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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)

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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