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Series Resonance

Dr. Mohamed Refky Amin

Electronics and Electrical Communications Engineering Department (EECE)

Cairo University

elc.n112.eng@gmail.com

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

5

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

26

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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