Series Resonance
Dr. Mohamed Refky Amin
Electronics and Electrical Communications Engineering Department (EECE)
Cairo University
http://scholar.cu.edu.eg/refky/
OUTLINE
• Course contents, References, Course Plan
• Resonance Circuits
• Series Resonance
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References
• Textbook:
– “Fundamentals of Electric Circuits”, Alexander and Sadiku, 5th
edition
• References:
– J. W. Nilsson and S. Riedel, Electric Circuits. 8th Edition, Prentice Hall,
2008.
– Syed A. Nasar, “Electric Circuits,” Schaum’s Solved Problems Series,
Mcgraw-Hill, New York, 1988.
– Cunningham Stuller, “Circuit Analysis,” John Wiley & Sons Inc., New
York, 1995.
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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.
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Course Plan
• Instructor:
• TA:
• Grading:
– 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
Dr. Mahmoud Hamed
Sunday 12:00 AM-1:00 PM
Monday 1:00 PM-2:00 PM
Wednesday 1:00 PM-2:00 PMDr. Mohamed Refky
Eng. Tarek Khedr
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Course Contents
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Week Topic Lab Quiz
1Resonance Circuits
2
3Passive Filters
4 Quiz 1
5 Lab 1-HW
6 Lab 2-SW
Midterm
7Fourier and Harmonic Analysis
8
9 Application of Laplace transforms to Circuit
Analysis10 Quiz 2
11Two–port Networks
12 Lab 3-HW Quiz 3
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
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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.
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Resonance Circuits
Series resonance Parallel resonance
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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.
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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.
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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.
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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.
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Series Resonance
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Series Resonance
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Series Resonance
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At Resonance
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Series Resonance
Power Factor
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At Resonance
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Series Resonance
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General Expression for the Current
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Series Resonance
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General Expression for the Current
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Series Resonance
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Series Resonance
Half-power points
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Series Resonance
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Series Resonance
3-dB points
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Series Resonance
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Series Resonance
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Series Resonance
a b c
1
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The negative sign before
the square root is refused
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Series Resonance
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Series Resonance
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Series Resonance
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Series Resonance
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Series Resonance
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Series Resonance
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Series Resonance
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Series Resonance
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Series Resonance
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Series Resonance
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Series Resonance
Resonance at
-
in rad/s in Hz
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Series Resonance
Example (1)
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Series Resonance
Example (2)
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Series Resonance
Example (3)
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Series Resonance
Example (4)
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Series Resonance
Example (5)
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