explain phase angle and impedence of lcr circuit.Hence find expression for resonant frequency
Answers
Answer:
explain impedance of LCR Circuit
Explanation:
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Phasor Diagram for a series LCR circuit is shown in the attached figure.
From definition of impedance,
For inductor, V
L
=IX
L
=IωL
For capacitance, V
C
=IX
C
=
ωC
I
For resistance, V
R
=IR
From the phasor diagram,
V
s
2
=V
R
2
+(V
L
−V
C
)
2
(IZ)
2
=(IR)
2
+(IωL−
ωC
I
)
2
Z=
R
2
+(ωL−
ωC
1
)
2
Variation of current in the circuit on the variation of applied frequency is shown in the attached figure.
Current is given as:
I=
Z
V
s
At resonance, impedance is minimum and hence, current is maximum as shown in the plot.
For frequencies smaller than the resonant frequencies, V
C
>V
L
and hence circuit is capacitive.
For frequencies greater than the resonant frequencies, V
L
>V
C
and hence circuit is inductive.
solution