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Tardigrade
Question
Physics
The value of inductance L for which the current is maximum in a series LCR A.C. circuit with textC = 1 0 μ textF and ω = 1 0 0 0 text s- 1 is
Q. The value of inductance
L
for which the current is maximum in a series LCR A.C. circuit with
C
=
10
μ
F
and
ω
=
1000
s
−
1
is
2107
210
NTA Abhyas
NTA Abhyas 2020
Report Error
A
1
m
H
0%
B
Cannot be calculated unless
R
is known
0%
C
10
m
H
0%
D
100
m
H
100%
Solution:
In series LCR, the current is maximum at resonance.
∴
Resonant frequency,
ω
=
LC
1
∴
ω
2
=
LC
1
or,
L
=
ω
2
C
1
Given,
ω
=
1000
s
−
1
and
C
=
10
μ
F
∴
L
=
1000
×
1000
×
10
×
1
0
−
6
1
=
0.1
H
=
100
mH