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Electronics I Lecture1-Op-Amp

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Electronics I
ELEC 2507
(Summer 2023)
Mohamed Abou-seif
Ph.D., P.Eng.
Lecture 1 - Course Outline and Introduction
1
Lecture Outline
I.
TAs contact information.
II.
Course
III.
I.
Materials and Grading.
II.
Outlines.
General discussion (Basics Revision), the difference between:
I.
Analogue and digital signals.
II.
Linear and nonlinear systems: Superposition principle and harmonics.
III.
Power Sources:
IV.
I.
Dependent and independent sources.
II.
DC and AC power sources: equivalent circuits for Capacitors and inductors.
Electrical elements (R, C, and L) and Electronics elements (diodes and transistors) from analysis point of
view.
IV.
operational amplifier (Op-Amp).
Lecture 1 - Course Outline and Introduction
2
Lecture Outline
I. TAs contact information.
II.
III.
Course
I.
Materials and Grading.
II.
Outlines.
General discussion (Basics Revision), difference between:
I.
Analogue and digital signals.
II.
Linear and nonlinear systems: Superposition principle and harmonics.
III.
Power Sources:
IV.
IV.
I.
Dependent and independent sources.
II.
DC and AC power sources: equivalent circuits for Capacitors and inductors.
Electrical elements (R, C, and L) and Electronics elements (diodes and transistors) from analysis point of view.
operational amplifier (Op-Amp).
Lecture 1 - Course Outline and Introduction
3
Lecture Outline
I.
TAs contact information.
II. Course
I. Materials and Grading.
II. Outlines.
III.
General discussion (Basics Revision), difference between:
I.
Analogue and digital signals.
II.
Linear and nonlinear systems: Superposition principle and harmonics.
III.
Power Sources:
IV.
IV.
I.
Dependent and independent sources.
II.
DC and AC power sources: equivalent circuits for Capacitors and inductors.
Electrical elements (R, C, and L) and Electronics elements (diodes and transistors) from analysis point of view.
operational amplifier (Op-Amp).
Lecture 1 - Course Outline and Introduction
4
Course Materials and grading
I.
Presentations.
II. Lectures notes.
III. Course website. https://brightspace.carleton.ca/
Lecture 1 - Course Outline and Introduction
5
Course Outline
I.
Operational Amplifier (Op-Amp).
II. Introduction to semiconductors.
III. PN junction (Diode).
IV. Bipolar junction transistor (BJT).
V. Field Effect transistor (FET) - Metal oxide junction field transistor
(MOSFET).
Lecture 1 - Course Outline and Introduction
6
Lecture Outline
I.
TAs contact information.
II.
Course
I.
Materials and Grading.
II.
Outlines.
III. General discussion (Basics Revision), difference between:
I.
Analog and digital signals
II.
Linear and nonlinear systems: Superposition principle and harmonics.
III.
Power Sources:
IV.
IV.
I.
Dependent and independent sources.
II.
DC and AC power sources: equivalent circuits for Capacitors and inductors.
Electrical elements (R, C, and L) and Electronics elements (diodes and transistors) from analysis point of view.
operational amplifier (Op-Amp).
Lecture 1 - Course Outline and Introduction
7
Analog and digital signals
1.
2.
Defination:
Analog signal : Continuous in time and amplitude
digital signals: discrete in time and amplitude; change with clock
1.
2.
Effect of noise (unwanted signal) on :
Analog signal : noise has a harmful effect on the analog signal
digital signals: digital signal is robust against noise to some extent
8
9
Lecture Outline
I.
TAs contact information.
II.
Course
I.
Materials and Grading.
II.
Outlines.
III. General discussion (Basics Revision), difference between:
I.
Analog and digital signals
II.
Linear and nonlinear systems: Superposition principle and harmonics.
III.
Power Sources:
IV.
IV.
I.
Dependent and independent sources.
II.
DC and AC power sources: equivalent circuits for Capacitors and inductors.
Electrical elements (R, C, and L) and Electronics elements (diodes and transistors) from analysis point of view.
operational amplifier (Op-Amp).
Lecture 1 - Course Outline and Introduction
10
Linear and Nonlinear systems
•
Comparison items:
•
•
•
Relation between input and output (transfer function): equation and plot
Superposition principle.
Signal distortion (example of sine wave input).
11
Lecture Outline
I.
Instructor and TAs contact information.
II.
Course
I.
Materials and Grading.
II.
Outlines.
III. General discussion (Basics Revision), difference between:
I.
Analog and digital signals
II.
Linear and nonlinear systems: Superposition principle and harmonics.
III. Power Sources:
IV.
IV.
I.
Dependent and independent sources.
II.
DC and AC power sources: equivalent circuits for Capacitors and inductors..
Electrical elements (R, C, and L) and Electronics elements (diodes and transistors) from analysis point of view.
operational amplifier (Op-Amp).
Lecture 1 - Course Outline and Introduction
12
Power sources:
Independent and dependent sources:
13
Power sources:
AC and DC sources:
14
Power sources:
Equivalent circuit of Capacitors and inductors connected to DC sources
The capacitor connected to the DC voltage source is equivalent to an open circuit (no current can flow).
The inductor connected to DC current source is equivalent to a short circuit (no voltage drop).
15
Lecture Outline
I.
TAs contact information.
II.
Course
I.
Materials and Grading.
II.
Outlines.
III. General discussion (Basics Revision), difference between:
I.
Analog and digital signals
II.
Linear and nonlinear systems: Superposition principle and harmonics.
III.
Power Sources:
I.
Dependent and independent sources.
II.
DC and AC power sources: equivalent circuits for Capacitors and inductors..
IV. Electrical elements (R, C, and L) and Electronics elements (diodes and
transistors) from analysis point of view.
IV.
operational amplifier (Op-Amp).
Lecture 1 - Course Outline and Introduction
16
Modelling Resistors, Capacitors and inductors vs
Diodes, transistors:
•
Ordinary electrical elements: resistors, capacitors and inductors have only one
mode of operation. So, they are modelled by a specific voltage V – current I
relation. Such as Ohms law for resistors and equations explained in the previous
slides for capacitors and inductors.
•
While electronic elements like diodes and transistors have more than one mode
of operation. So, they have different modelling V-I relations.
•
Two important relations to model electrical system:
•
•
V-I relation.
Transfer function
17
Lecture Outline
I.
TAs contact information.
II.
Course
III.
I.
Materials and Grading.
II.
Outlines.
General discussion (Basics Revision), difference between:
I.
Analog and digital signals
II.
Linear and nonlinear systems: Superposition principle and harmonics.
III.
Power Sources:
IV.
I.
Dependent and independent sources.
II.
DC and AC power sources: equivalent circuits for Capacitors and inductors.h.
Electrical elements (R, C, and L) and Electronics elements (diodes and transistors) from analysis point of
view.
IV. operational amplifier (Op-Amp).
Lecture 1 - Course Outline and Introduction
18
IV. operational amplifier (Op-Amp).
I.
Symbol and transfer function.
II.
Inverting configuration.
III.
I.
Infinite open-loop gain
II.
Finite open-loop gain
III.
Input and output impedance.
Non-inverting configuration.
IV. Superposition principle in OP-Amp (linear element)
V.
Difference amplifier (analysis and input impedance).
VI. Voltage follower (buffer).
VII. Super-circuit : the instrumentation amplifier.
VIII. Integrators and Differentiators.
Lecture 1 - Course Outline and Introduction
19
Op-Amp:
Op-Amp terminals
Equivalent Circuit of Ideal OpAmp
OR
Lecture 1 - Course Outline and Introduction
20
Op-Amp:
1.
No current flows inside the Op-Amp
2. The output voltage is always A(V+ - V-) regardless resistor the connected to the output terminal.
3. Output responds to the input difference Only, so if V1=V2=1 volt, then the output is zero, this is called Common-mode
rejection. Even if V1 & V2 -> infinity, also output is zero if they are both equal.
4. A usually is very high.
5. A is usually frequency independent. (Not practically true).
Lecture 1 - Course Outline and Introduction
21
Op-Amp:
Inverting & Non-inverting Configuration
1. Assuming infinite open-loop gain find closed loop gain, input impedance, and output impedance.
2. Repeat for finite loop gain.
3.Consider the input is larger than the bias case – describe the limitation of large signal DC and AC (distortion)
Lecture 1 - Course Outline and Introduction
22
Op-Amp:
Inverting & Non-inverting Configuration
For the shown circuit;
Lecture 1 - Course Outline and Introduction
23
Op-Amp:
Inverting & Non-inverting Configuration
Lecture 1 - Course Outline and Introduction
24
Op-Amp:
Inverting & Non-inverting Configuration
Lecture 1 - Course Outline and Introduction
25
Op-Amp:
Inverting & Non-inverting Configuration
Why this circuit is important !
Show its importance using example.
Lecture 1 - Course Outline and Introduction
26
Op-Amp:
Inverting & Non-inverting Configuration
Example: For the shown circuit, find the output voltage as a
function of the input voltages using superposition principle.
Lecture 1 - Course Outline and Introduction
27
Op-Amp:
Inverting & Non-inverting Configuration
Lecture 1 - Course Outline and Introduction
28
Op-Amp:
Inverting & Non-inverting Configuration
Q: what is the input impedance?
A: It is R1
Drawbacks of this circuit:
1. R1 should be small for large gain then consequently, the input impedance is small as well (not required).
2. Not easy to vary the gain. As two resistors (from the above ratio) have to be varied simultaneously (perfect
matched) – difficult task. !!
Lecture 1 - Course Outline and Introduction
29
Op-Amp:
Inverting & Non-inverting Configuration
Drawbacks of this circuit:
1. R1 should be small for large gain then consequently, the input impedance is small as well (not required).
2. Not easy to vary the gain. As two resistors (from the above ratio) must change accurately together!!
To have a High input-impedance amplifier-> using
Voltage Follower
To have high gain amplifier -> make voltage
follower provides some gain
These two points lead to
Lecture 1 - Course Outline and Introduction
30
Op-Amp:
Inverting & Non-inverting Configuration
What is the transfer function for the shown circuit?
High input-impedance and high gain amplifier
However, its Drawbacks still are:
1. The two amplifiers at the input
stage have to be perfectly
matched!.
1. Still two resistors have to be
varied simultaneously (perfect
matching condition) – difficult
task!!
Lecture 1 - Course Outline and Introduction
31
Op-Amp:
Previous drawbacks would be solved by simple
wiring; as shown in figure.
Just remove the ground between the two R1
resistors!! How, what is the transfer function now
Lecture 1 - Course Outline and Introduction
32
Op-Amp:
Lecture 1 - Course Outline and Introduction
33
Op-Amp:
No Matching conditions between the two input amplifiers are required
Lecture 1 - Course Outline and Introduction
34
Op-Amp:
Lecture 1 - Course Outline and Introduction
35
Op-Amp:
Example: For the shown circuit, find the
transfer function, show it acts as a lowpath filter and find its 3db-bandwidth.
Then design it to have a) gain = 40 db, b)
3db-BW = 1 KHz, and input impedance
= 1 K-Ohm.
Lecture 1 - Course Outline and Introduction
36
Op-Amp:
Magnitude
Phase
Lecture 1 - Course Outline and Introduction
37
Op-Amp:
Magnitude
Phase
Lecture 1 - Course Outline and Introduction
38
Op-Amp:
However, the integrator is no longer ideal
due to RF
Then RF causes the integrator pole move from its
ideal location at omega = 0 to
Lecture 1 - Course Outline and Introduction
39
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