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Parallel Resonance
Dr. Mohamed Refky Amin
Electronics and Electrical Communications Engineering Department (EECE)
Cairo University
http://scholar.cu.edu.eg/refky/
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OUTLINE
• Previously on ELC N112
• Analysis of Parallel Resonance Circuits
• Quality Factor of a Coil
• Solved Examples
2Dr. Mohamed Refky
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Previously on ELC N112
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
Definition of Resonance
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Previously on ELC N112
Series resonance Parallel resonance
Dr. Mohamed Refky
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Previously on ELC N112
Dr. Mohamed Refky
Current Expression in Series Resonance
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Previously on ELC N112
Dr. Mohamed Refky
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Previously on ELC N112
Dr. Mohamed Refky
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Previously on ELC N112
Resonance at
-
in rad/s in Hz
Dr. Mohamed Refky
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Parallel Resonance
9Dr. Mohamed Refky
Ideal Parallel Circuit
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Parallel Resonance
10
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
11Dr. Mohamed Refky
Quality Factor of a Real Coil
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Parallel Resonance
12Dr. Mohamed Refky
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Parallel Resonance
13
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
15
The Equivalent All-Parallel Circuit
Dr. Mohamed Refky
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Parallel Resonance
16
The Equivalent All-Parallel Circuit
Dr. Mohamed Refky
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Parallel Resonance
17
The Equivalent All-Parallel Circuit
Dr. Mohamed Refky
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Parallel Resonance
18Dr. Mohamed Refky
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Parallel Resonance
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• Impedance & voltage in terms of quality factor
Dr. Mohamed Refky
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Parallel Resonance
20Dr. Mohamed Refky
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Parallel Resonance
21Dr. Mohamed Refky
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Parallel Resonance
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Bandwidth and Cut-off Frequencies
Dr. Mohamed Refky
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Parallel Resonance
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Bandwidth and Cut-off Frequencies
Dr. Mohamed Refky
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Parallel Resonance
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Bandwidth and Cut-off Frequencies
Dr. Mohamed Refky
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Parallel Resonance
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Bandwidth and Cut-off Frequencies
a b c
1
Dr. Mohamed Refky
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Parallel Resonance
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Bandwidth and Cut-off Frequencies
Dr. Mohamed Refky
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Parallel Resonance
27Dr. Mohamed Refky
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Parallel Resonance
28Dr. Mohamed Refky
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Parallel Resonance
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In general:
Dr. Mohamed Refky
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30
Resonance at
Dr. Mohamed Refky
Parallel Resonance
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Parallel Resonance
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Example (1)
Dr. Mohamed Refky
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Parallel Resonance
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Example (2)
Dr. Mohamed Refky
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Parallel Resonance
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Example (3)
Dr. Mohamed Refky
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Parallel Resonance
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Example (4)
Dr. Mohamed Refky