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Byju's Answer
Standard XII
Physics
Increasing Capacitance Even More
A capacitor o...
Question
A capacitor of capacitance
C
and reactance
X
is connected to an
AC
source of frequency
f
. If the capacitance and frequency becomes double, then the reactance becomes
X
n
. The value of
n
is :
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Solution
The reactance is given by:
X
=
1
ω
C
=
1
2
π
f
C
When frequency and capacitance is doubled:
X
′
=
1
2
π
(
2
f
)
(
2
C
)
=
1
4
(
2
π
f
C
)
∴
X
′
=
X
4
Hence,
n
=
4
.
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