Answer:
L = 22.97 H
Explanation:
Given that,
Capacitance, [tex]C=0.1\ \mu F=0.1\times 10^{-6}\ F[/tex]
Oscillation frequency, f = 0.5 Hz
The frequency of an AC circuit is given by :
[tex]f=\dfrac{1}{2\pi \sqrt{LC} }[/tex]
Where
L is impedance
[tex]f^2=\dfrac{1}{4\pi ^2LC}\\\\L=\dfrac{1}{4\pi ^2 f^2 C}\\\\\text{Putting all the values}\\\\L=\dfrac{1}{4\pi^2 \times (105)^2\times 0.1\times 10^{-6}}\\\\L=22.97\ H[/tex]
So, the impedance of LC circuit 22.97 H.
