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Resonance Circuits
Part I
Dr. Mohamed Refky Amin
Electronics and Electrical Communications Engineering Department (EECE)
Cairo University
http://scholar.cu.edu.eg/refky/
Outline of This Lecture
• Course Contents, References, Course Plan
• Resonance Circuits
• Types of Resonance Circuits
• Applications of Resonance Circuits
• Series Resonance
Dr. Mohamed Refky
Course Contents
• Series and Parallel Resonance
• Applications on Passive Electric Filters
• Two port Networks
• Network Synthesis
• Mutual Inductance & Transformers
Dr. Mohamed Refky
Course Contents
• Textbook
– J. W. Nilsson and S. Riedel, “Electric Circuits”, 10th
Edition, Prentice Hall, 2014.
• References
– R. C. Dorf, “Introduction to Electric Circuits”, 9th
Edition, John Wiley & sons Inc. , New York, 2013.
– 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.
Dr. Mohamed Refky
Course Plan
• Instructors:
• TAs:
• Grading: Total grade 150
– 90 Final Exam
– 30 Midterm (Week 7)
– 20 Labs
– 5 Quiz 1 (Week 11)
– 5 Quiz 2 (Week 15)
• Office Hours:
Dr. Afaf Abd El-Fattah
Dr. Zaher
Dr. Mohamed Refky
Sunday 11:45AM-12:15PM
Tuesday 12:00PM-1:00PMDr. Mohamed Refky
TBA
Important Links and Emails
• Dr. Afaf’s email address
• My email address
• Dr. Afaf’s web Page:
http://www.sites.google.com/site/profafaf
• My web Page:
http://scholar.cu.edu.eg/refky/
• Survey Link:
http://www.surveymonkey.com/r/2J9QL6B
Dr. Mohamed Refky
Important Topics to be Revised
• Analyzing circuits with DC and AC input
signals.
• Dealing with independent and dependent
sources.
• Using loop and node analysis.
• Impedances and admittances.
• Network theorems.
• Power Calculations.
Dr. Mohamed Refky
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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Definition of Resonance
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.
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Resonance in Electrical Circuits
9
Resonance Circuits
At resonance, the energy absorbed at any instant by one reactive
element is exactly equal to that released by the other element.
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Resonance in Electrical Circuits
10
Resonance Circuits
Series Resonance Circuit Parallel Resonance Circuit
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Types of Resonance Circuits
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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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Applications of Resonance Circuits
12
Resonance Circuits
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Applications of Resonance CircuitsResonant 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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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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