The frequency of oscillation of current in the inductor is-

Question

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" /> (A) (1/3 √L C) (B) (1/6 π √L C) (C) (1/√L C) (D) (1/2 π √L C)

Tardigrade Admin · Accepted Answer

Here textL texteq = textL + 2 textL = 3 textL (in series) textC texteq = textC + 2 textC = 3 textC (in parallel) ω = (1/√ textL texteq textC texteq) = (1/3 √ textLC) frequency f= (ω /2 π ) = (1/6 π √ textLC)

Q. The frequency of oscillation of current in the inductor is-

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

$\frac{1}{6 π L C}$

$\frac{1}{L C}$

$\frac{1}{2 π L C}$

Here $L_{eq} = L + 2 L = 3 L$ (in series)
$C_{eq} = C + 2 C = 3 C$ (in parallel)
$ω = \frac{1}{L _{eq} C _{eq}}$
$= \frac{1}{3 LC}$
frequency $f = \frac{ω}{2 π} = \frac{1}{6 π LC}$

Q. The frequency of oscillation of current in the inductor is-

3LC​1​

6πLC​1​

LC​1​

2πLC​1​

Here Leq​=L+2L=3L (in series) Ceq​=C+2C=3C (in parallel) ω=Leq​Ceq​​1​ =3LC​1​ frequency f=2πω​=6πLC​1​

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

$\frac{1}{6 π L C}$

$\frac{1}{L C}$

$\frac{1}{2 π L C}$

Here $L_{eq} = L + 2 L = 3 L$ (in series)
$C_{eq} = C + 2 C = 3 C$ (in parallel)
$ω = \frac{1}{L _{eq} C _{eq}}$
$= \frac{1}{3 LC}$
frequency $f = \frac{ω}{2 π} = \frac{1}{6 π LC}$