state the condition for resonance to occur in a series lcra coli is connected to a low voltage bulb . it's placed parallel to another coil. a connected to an a.c. source
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Condition for resonance to occur in series LCR ac circuit:
For resonance the current produced in the circuit and emf applied must always be in the same phase.
Phase difference (φ) in series LCR circuit is given by
tanφ=
R
X
C
−X
L
For resonance, φ=0⟹X
C
−X
L
=0 or X
C
=X
L
If ω
r
is resonant frequency, then X
C
=
ω
r
C
1
and X
C
=ω
r
L
ω
r
C
1
=ω
r
L⟹ω
r
=
LC
1
Linear resonant frequency, f
r
=
2π
ω
=
2π
LC
1
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