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Byju's Answer
Standard XII
Physics
Dimensional Analysis
In a series ...
Question
In a series
L
C
R
circuit,
R
=
1
Ω
,
C
=
2
μ
F
and voltage across
R
is
100
V
. The resonant frequency of the circuit
ω
is
200
r
a
d
s
−
1
. Calculate the value of voltage across
L
at resonance.
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Solution
Given,
V
R
=
100
,
R
=
1
Ω
w
=
200
r
a
d
/
s
,
C
=
2
μ
F
w
2
=
1
L
C
⇒
(
200
)
2
=
1
L
×
2
×
10
−
6
L
=
1
8
×
10
−
2
L
=
12.5
H
Current through
R
=
100
1
=
100
A
At resonance,
Voltage across
L
= Voltage across
C
⇒
I
×
X
C
=
100
×
1
200
×
2
×
10
−
6
=
250
×
10
3
v
o
l
t
s
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