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Physics
The frequency of oscillation of current in the inductor is- <img class=img-fluid question-image alt=Question src=https://cdn.tardigrade.in/q/nta/p-j66s4lmlxr1xwchl.jpg />
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Q. The frequency of oscillation of current in the inductor is-
NTA Abhyas
NTA Abhyas 2022
A
$\frac{1}{3 \sqrt{L C}}$
B
$\frac{1}{6 \pi \sqrt{L C}}$
C
$\frac{1}{\sqrt{L C}}$
D
$\frac{1}{2 \pi \sqrt{L C}}$
Solution:
Here $\text{L}_{\text{eq}} = \text{L} + 2 \text{L} = 3 \text{L}$ (in series)
$\text{C}_{\text{eq}} = \text{C} + 2 \text{C} = 3 \text{C}$ (in parallel)
$\omega = \frac{1}{\sqrt{\text{L}_{\text{eq}} \text{C}_{\text{eq}}}}$
$= \frac{1}{3 \sqrt{\text{LC}}}$
frequency $f= \frac{\omega }{2 \pi } = \frac{1}{6 \pi \sqrt{\text{LC}}}$
