Series Resonance. Dr. Mohamed Refky Amin
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1 Dr. Mohamed Refky Amin Electronics and Electrical Communications Engineering Department (EECE) Cairo University
2 OUTLINE Course contents, References, Course Plan Resonance Circuits Series Resonance Dr. Mohamed Refky 2
3 References Textbook: Fundamentals of Electric Circuits, Alexander and Sadiku, 5th edition References: J. W. Nilsson and S. Riedel, Electric Circuits. 8th Edition, Prentice Hall, Syed A. Nasar, Electric Circuits, Schaum s Solved Problems Series, Mcgraw-Hill, New York, Cunningham Stuller, Circuit Analysis, John Wiley & Sons Inc., New York, Dr. Mohamed Refky 3
4 Important topics to be revised Analyzing circuits with D.C. and A.C. input signals. Using loop and node analysis. Calculating input impedances and admittances of networks. Calculations of maximum power transfer to a load. Dealing with independent and dependent sources. Dr. Mohamed Refky 4
5 Instructor: Course Plan 20% Labs (4 labs, 5% each, no labs will be repeated under any circumstances). 10% Lab Exam. 20 % Midterm 10% Quizzes 40% Final Exam. Office Hours: Dr. Mohamed Refky Amin TA: Eng. Tarek Dr. Mahmoud Khedr Hamed Grading: Sunday 12:00 AM-1:00 PM Monday 1:00 PM-2:00 PM Dr. Mohamed Refky Wednesday 1:00 PM-2:00 PM 5
6 Dr. Mohamed Refky Course Contents Week Topic Lab Quiz 1 2 Resonance Circuits 3 Passive Filters 4 Quiz 1 5 Lab 1-HW 6 Lab 2-SW 7 8 Midterm Fourier and Harmonic Analysis 9 Application of Laplace transforms to Circuit 10 Analysis Quiz 2 11 Two port Networks 12 Lab 3-HW Quiz 3
7 Resonance Circuits In physics, resonance is the tendency of a system to oscillate with greater amplitude at some frequencies than at others. Frequency at which the response amplitude is a maximum is known as the system's resonant frequency, or resonance frequency Dr. Mohamed Refky 7
8 Resonance Circuits For electric circuit to resonate, the circuit must have L, and C elements. Resonance is a condition in an RLC circuit in which the capacitive and inductive reactances are equal in magnitude, thereby resulting in a purely resistive impedance. Dr. Mohamed Refky 8
9 Resonance Circuits Series resonance Parallel resonance Dr. Mohamed Refky 9
10 Resonance Circuits Resonant circuits (series or parallel) are useful for constructing filters, as their transfer functions can be highly frequency selective. They are used in many applications such as selecting the desired stations in radio and TV receivers. Dr. Mohamed Refky 10
11 Resonance Circuits Resonant circuits (series or parallel) are useful for constructing filters, as their transfer functions can be highly frequency selective. They are used in many applications such as selecting the desired stations in radio and TV receivers. Dr. Mohamed Refky 11
12 Resonance Circuits Resonant circuits (series or parallel) are useful for constructing filters, as their transfer functions can be highly frequency selective. They are used in many applications such as selecting the desired stations in radio and TV receivers. Dr. Mohamed Refky 12
13 Resonance Circuits Resonant circuits (series or parallel) are useful for constructing filters, as their transfer functions can be highly frequency selective. They are used in many applications such as selecting the desired stations in radio and TV receivers. Dr. Mohamed Refky 13
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15 Dr. Mohamed Refky 15
16 At Resonance Series Resonance Dr. Mohamed Refky 16
17 At Resonance Series Resonance Power Factor Dr. Mohamed Refky 17
18 General Expression for the Current Dr. Mohamed Refky 18
19 General Expression for the Current Dr. Mohamed Refky 19
20 Dr. Mohamed Refky 20
21 Half-power points Dr. Mohamed Refky 21
22 Dr. Mohamed Refky 22
23 3-dB points Dr. Mohamed Refky 23
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25 Dr. Mohamed Refky 25
26 1 a b c The negative sign before the square root is refused Dr. Mohamed Refky 26
27 Dr. Mohamed Refky 27
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37 Resonance at - in rad/s in Hz Dr. Mohamed Refky 37
38 Example (1) Series Resonance Dr. Mohamed Refky 38
39 Example (2) Series Resonance Dr. Mohamed Refky 39
40 Example (3) Series Resonance Dr. Mohamed Refky 40
41 Example (4) Series Resonance Dr. Mohamed Refky 41
42 Example (5) Series Resonance Dr. Mohamed Refky 42
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