Resonators Series Resonance and Parallel Resonance

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ResonatorsSeries Resonanceand Parallel
Resonance
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Series Resonance
R
L
I

C
Vs
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Series Resonance
Resonance frequency
Half-power frequencies
?1 and ?2
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5 Important parameters of a resonance circuit
Half-power frequencies
Resonance frequency
Bandwidth
Quality factor
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Q vs. B
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Another Physical Interpretation of Q
Estored Peak energy stored in the circuit
Edissipated Energy dissipated by the circuit in
one period at resonance
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High Q Circuit
Qgt10
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Example 1
Find ?0 , ?1 , ?2 , B, and Q for this
circuit. What is the circuit current amplitude
for ? ?0 , ?1, ?2.
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Parallel Resonance
R
V0 -

C
L
Vs
10
Parallel Resonance
H(?)
1
B
?
?0
?1
?2
0
?
900
00
?
?0
-900
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Parallel Resonance
Half-power frequencies
Resonance frequency
Bandwidth
Quality factor
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Example 2
Find ?0 , ?1 , ?2 , B, and Q for this
circuit. What is the power dissipated by the
circuit for ??0 , ?1, ?2.
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An Important Trade of Resonance Circuits
Vs
Resonance happens when input impedance or
admittance is pure resistive
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Example 3
Find this circuit resonance frequency
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Homework and Reading

• Todays coverage p630-638
• Next lecture p638-649
• Homework 5
• P665-666, 14.27, 14.40. Due Wed. 2/2.