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Dr. Mohamed Refky Amin
Electronics and Electrical Communications Engineering Department (EECE)
Cairo University
http://scholar.cu.edu.eg/refky/
Resonance Circuits
Part II
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Outline of This Lecture
• Previously on ELC 1030
• Examples on Series Resonance Circuits
• Parallel Resonance Circuits
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Previously on ELC 1030
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
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Previously on ELC 1030
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
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Previously on ELC 1030
Series Resonance Circuit Parallel Resonance Circuit
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Types of Resonance Circuits
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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.
Previously on ELC 1030
Dr. Mohamed Refky
Applications of Resonance Circuits
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Previously on ELC 1030
Dr. Mohamed Refky
General Expression for the Current
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Previously on ELC 1030
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Previously on ELC 1030
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Previously on ELC 1030
Dr. Mohamed Refky 10
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Previously on ELC 1030
Dr. Mohamed Refky 11
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Previously on ELC 1030
Dr. Mohamed Refky 12
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Previously on ELC 1030
Dr. Mohamed Refky 13
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Previously on ELC 1030
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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Parallel Resonance
20Dr. Mohamed Refky
Ideal Parallel Circuit
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Parallel Resonance
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In parallel circuits, at resonance,
the capacitor and the coil are
replaced by an Open Circuit.
Dr. Mohamed Refky
Ideal Parallel Circuit
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Parallel Resonance
22Dr. Mohamed Refky
Quality Factor of a Real Coil
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Parallel Resonance
23Dr. Mohamed Refky
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Parallel Resonance
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The Equivalent All-Parallel Circuit
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Parallel Resonance
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The Equivalent All-Parallel Circuit
Dr. Mohamed Refky
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Parallel Resonance
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The Equivalent All-Parallel Circuit
Dr. Mohamed Refky
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Parallel Resonance
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The Equivalent All-Parallel Circuit
Dr. Mohamed Refky
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Parallel Resonance
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The Equivalent All-Parallel Circuit
Dr. Mohamed Refky
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Parallel Resonance
29Dr. Mohamed Refky
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Parallel Resonance
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• Impedance & voltage in terms of quality factor
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Parallel Resonance
31Dr. Mohamed Refky
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Parallel Resonance
32Dr. Mohamed Refky
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Parallel Resonance
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Bandwidth and Cut-off Frequencies
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Parallel Resonance
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Bandwidth and Cut-off Frequencies
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Parallel Resonance
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Bandwidth and Cut-off Frequencies
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Parallel Resonance
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Bandwidth and Cut-off Frequencies
a b c
1
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Parallel Resonance
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Bandwidth and Cut-off Frequencies
Dr. Mohamed Refky
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Parallel Resonance
38Dr. Mohamed Refky
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Parallel Resonance
39Dr. Mohamed Refky
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Parallel Resonance
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In general:
Dr. Mohamed Refky
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Resonance at
Dr. Mohamed Refky
Parallel Resonance