Alternating CurrentMedium
Question
In a LCR circuit capacitance is changed from C to 2C. For the resonant frequency to remain unchanged, the inductance should be changed from L to
Options
A.4L
B.2L
C.L/2
D.L/4
Solution
ωres = 
If ωres is to remain same, the product LC should also not change.
⇒ LC = L′C′
⇒ LC = L′2C
⇒ L′ = L/2

If ωres is to remain same, the product LC should also not change.
⇒ LC = L′C′
⇒ LC = L′2C
⇒ L′ = L/2
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