First slide

AC Circuits

Question

The frequency of oscillation of current in the inductance is

Moderate

A

$\frac{1}{3 \sqrt{L C}}$
B

$\frac{1}{6 π \sqrt{L C}}$
C

$\frac{1}{\sqrt{L C}}$
D

$\frac{1}{2 π \sqrt{L C}}$

Solution

Equivalent inductance
$\begin{array}{l} L_{eq} = L + 2 L = 3 L, C_{eq} = C + 2 C = 3 C \\ ∴ Frequency of oscillation \\ f = \frac{1}{2 π \sqrt{L_{eq} C_{eq}}} = \frac{1}{6 π \sqrt{L C}} \end{array}$

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