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Byju's Answer
Standard X
Physics
Faraday's Law
in an L-C cir...
Question
in an L-C circuit, current is oscillating with frequency 4x1000000Hz. what is the frequency with which magnetic energy is oscillating?
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Solution
Here,
f
=
4
×
10
6
Hz
Current in an LC circuit is given by
I
=
−
V
o
L
C
sin
ω
t
magnetic energy in an LC ckt is stored in the inductor
Energy stored in LC ckt is given by
U
=
1
2
L
I
2
=
>
U
=
1
2
L
(
−
V
o
L
C
sin
ω
t
)
2
=
>
U
=
V
o
4
C
2
sin
2
ω
t
=
V
o
4
C
(
1
−
cos
2
ω
t
)
=
>
U
=
V
o
4
C
(
1
−
cos
2
(
2
π
f
)
t
)
=
>
U
=
V
o
4
C
(
1
−
cos
2
π
(
2
f
)
t
)
So, U is oscillating with
2
f
or 8
×
10
6
Hz
.
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