( 1 ) Parallel resonance
frequency
fr = ( 1
/ 2π ) √ ( 1 / LC – R2 / L2 )
( 2 ) Dynamic Impedance of parallel resonance circuit
Z = L / CR
( 3 ) Q factor of parallel resonance circuit
Q = XL / R
= ωL /
R
=
Energy Stored / Energy Lost
=
Reactive Power / Resistive Power
( 4 ) Voltage gain of tuned amplifier
Voltage
gain = βZC / Zin
Where β = Current gain of the transistor
ZC = Effective collector load
Zin
= Input impedance of amplifier
( 5 ) Relation between bandwidth and Q factor
Q = fr
/ BW
Where
fr
= Resonance frequency
=
1 / [ 2π √ ( LC ) ]
( 6 ) Bandwidth of double tuned circuit
BWdt = kfr
Where k = Coefficient of coupling
dt =
It is used for double tuned circuit
( 7 ) Critical coupling in the double tuned circuit
Kcritical
= 1 / √ ( Q1 × Q2 )
Where
Q1
= Quality factor for primary resonant circuit
Q2 = Quality factor for secondary
resonant circuit
( 8 ) The power losses in the tuned Class C amplifier
is very small in high Q resonant circuit.
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