parallel resonance - cairo...
TRANSCRIPT
Parallel Resonance
Dr. Mohamed Refky Amin
Electronics and Electrical Communications Engineering Department (EECE)
Cairo University
http://scholar.cu.edu.eg/refky/
OUTLINE
• Previously on ELC N112
• Analysis of Parallel Resonance Circuits
• Quality Factor of a Coil
• Solved Examples
2Dr. Mohamed Refky
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
Previously on ELC N112
Series resonance Parallel resonance
Dr. Mohamed Refky
Previously on ELC N112
Dr. Mohamed Refky
Current Expression in Series Resonance
Previously on ELC N112
Dr. Mohamed Refky
Previously on ELC N112
Dr. Mohamed Refky
Previously on ELC N112
Resonance at
-
in rad/s in Hz
Dr. Mohamed Refky
Parallel Resonance
9Dr. Mohamed Refky
Ideal Parallel Circuit
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
Parallel Resonance
11Dr. Mohamed Refky
Quality Factor of a Real Coil
Parallel Resonance
12Dr. Mohamed Refky
Parallel Resonance
13
The Equivalent All-Parallel Circuit
Dr. Mohamed Refky
Parallel Resonance
14
The Equivalent All-Parallel Circuit
Dr. Mohamed Refky
Parallel Resonance
15
The Equivalent All-Parallel Circuit
Dr. Mohamed Refky
Parallel Resonance
16
The Equivalent All-Parallel Circuit
Dr. Mohamed Refky
Parallel Resonance
17
The Equivalent All-Parallel Circuit
Dr. Mohamed Refky
Parallel Resonance
18Dr. Mohamed Refky
Parallel Resonance
19
• Impedance & voltage in terms of quality factor
Dr. Mohamed Refky
Parallel Resonance
20Dr. Mohamed Refky
Parallel Resonance
21Dr. Mohamed Refky
Parallel Resonance
22
Bandwidth and Cut-off Frequencies
Dr. Mohamed Refky
Parallel Resonance
23
Bandwidth and Cut-off Frequencies
Dr. Mohamed Refky
Parallel Resonance
24
Bandwidth and Cut-off Frequencies
Dr. Mohamed Refky
Parallel Resonance
25
Bandwidth and Cut-off Frequencies
a b c
1
Dr. Mohamed Refky
Parallel Resonance
26
Bandwidth and Cut-off Frequencies
Dr. Mohamed Refky
Parallel Resonance
27Dr. Mohamed Refky
Parallel Resonance
28Dr. Mohamed Refky
Parallel Resonance
29
In general:
Dr. Mohamed Refky
30
Resonance at
Dr. Mohamed Refky
Parallel Resonance
Parallel Resonance
31
Example (1)
Dr. Mohamed Refky
Parallel Resonance
32
Example (2)
Dr. Mohamed Refky
Parallel Resonance
33
Example (3)
Dr. Mohamed Refky
Parallel Resonance
34
Example (4)
Dr. Mohamed Refky