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BIOELECTRONICS 1 Lec7: CHAPTER 3 Bio-Amplifiers By
6 October University Faculty of Applied Medical Sciences Department of Biomedical equipment and systems Lec7: CHAPTER 3 Bio-Amplifiers By Dr. Eng. Hani Kasban Mahmoud 2017 BIOELECTRONICS 1
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Biopotential Amplifiers Basic function
Bio-Amplifiers Basic function • To increase the amplitude of a weak electric signal of biological origin Amplifier Amplified Biopotential Biopotential The biopotential amplifier function is to take a weak electric signal of biological origin and increase its amplitude so that it can be further processed, recorded, or displayed. Author : Dr. Eng. Hani Kasban A. Mahmoud / 2017
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Bio-amplifier requirements
• The measured signal should not be distorted • The amplifier should provide the best possible separation of signal and interferences • The amplifier has to offer protection of the patient from any hazard of electrical shock • The amplifier itself has to be protected against damages Author : Dr. Eng. Hani Kasban A. Mahmoud / 2017
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Operational Amplifiers (Op Amp )
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Operational Amplifiers (Op Amp )
+ - Non-inverting input Positive voltage supply Negative voltage supply Output Symbol Inverting input At a minimum, op amps have 3 terminals: 2 input and 1 output. An op amp also requires dc power to operate. Often, the op amp requires both positive and negative voltage supplies (V+ and V-).
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Operational Amplifiers
The Op Amp Model + - Inverting input Non-inverting input Rin v+ v- A(v+ -v- ) vo Ro The op amp is designed to sense the difference between the voltage signals applied to the two input terminals and then multiply it by a gain factor A such that the voltage at the output terminal is A(v+-v-). The voltage gain A is very large (practically infinite). The gain A is often referred to as the differential gain or open-loop gain. The input resistance Rin is very large (practically infinite). The output resistance Ro is very small (practically zero).
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Operational Amplifiers
Ideal Op Amp Circuit model (ideal) We can model an ideal amplifier as a voltage-controlled voltage source (VCVS) The input resistance is infinite. The output resistance is zero. The gain A is infinite.
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Operational Amplifiers
+ - Inverting input Non-inverting input Rin v+ v- A(v+ -v- ) vo Ro For A741, A = 100dB=105, if vo=10V, Then
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Inverting Amplifier:Voltage Gain
The negative voltage gain implies that there is a 1800 phase shift between both dc and sinusoidal input and output signals. The gain magnitude can be greater than 1 if R2 > R1 The gain magnitude can be less than 1 if R1 > R2 The inverting input of the op amp is at ground potential (although it is not connected directly to ground) and is said to be at virtual ground. But is= i2 and v- = 0 (since vid= v+ - v-= 0) and
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Inverting Amplifier: Input and Output Resistances
Rout is found by applying a test current (or voltage) source to the amplifier output and determining the voltage (or current) after turning off all independent sources. Hence, vs = 0 But i1=i2 Since v- = 0, i1=0. Therefore vx = 0 irrespective of the value of ix .
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Inverting Amplifier: Example
Problem: Design an inverting amplifier Given Data: Av= 20 dB, Rin = 20kW, Assumptions: Ideal op amp Analysis: Input resistance is controlled by R1 and voltage gain is set by R2 / R1. and Av = -100 A minus sign is added since the amplifier is inverting.
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The Non-inverting Amplifier: Configuration
The input signal is applied to the non-inverting input terminal. A portion of the output signal is fed back to the negative input terminal. Analysis is done by relating the voltage at v1 to input voltage vs and output voltage vo .
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Non-inverting Amplifier: Voltage Gain, Input Resistance and Output Resistance
Since i-=0 and But vid =0 Since i+=0 Rout is found by applying a test current source to the amplifier output after setting vs = 0. It is identical to the output resistance of the inverting amplifier i.e. Rout = 0.
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Non-inverting Amplifier: Example
Problem: Determine the output voltage and current for the given non-inverting amplifier. Given Data: R1= 3kW, R2 = 43kW, vs= +0.1 V Assumptions: Ideal op amp Analysis: Since i-=0,
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The Summing Amplifier Since i-=0, i3= i1 + i2,
Scale factors for the 2 inputs can be independently adjusted by the proper choice of R2 and R1. Any number of inputs can be connected to a summing junction through extra resistors. This circuit can be used as a simple digital-to-analog converter. This will be illustrated in more detail, later. Since the negative amplifier input is at virtual ground,
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The Difference Amplifier
Since v-= v+ For R2= R1 This circuit is also called a differential amplifier, since it amplifies the difference between the input signals. Rin2 is series combination of R1 and R2 because i+ is zero. For v2=0, Rin1= R1, as the circuit reduces to an inverting amplifier. For general case, i1 is a function of both v1 and v2. Also,
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Difference Amplifier: Example
Problem: Determine vo Given Data: R1= 10kW, R2 =100kW, v1=5 V, v2=3 V Assumptions: Ideal op amp. Hence, v-= v+ and i-= i+= 0. Analysis: Using dc values, Here Adm is called the “differential mode voltage gain” of the difference amplifier.
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Many thanks Dr. Eng. Hani Kasban Questions?????
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