First slide

AC Circuits

Question

In LCR circuit, the capacitance is changed from C to 4C. For the same resonant frequency, the inductance should be changed from L to

Moderate

A

2L
B

L / 2
C

L / 4
D

4 L

Solution

$ω = \frac{1}{\sqrt{L_{1} C_{1}}} = \frac{1}{\sqrt{L_{2} C_{2}}} \Rightarrow L_{2} = \frac{L_{1}}{4}$

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