Answer:
Frequency will be 4.30 kHz
Explanation:
We have inductance [tex]L=37\mu H=37\times 10^{-6}H[/tex]
And capacitance [tex]C=37\mu H=37\times 10^{-6}F[/tex]
Inductive reactance is given by [tex]X_L=\omega L[/tex]
And capacitive reactance [tex]X_C=\frac{1}{\omega C}[/tex]
As in question it is given that inductive reactance and capacitive reactance is same
So [tex]X_L=X_C[/tex]
[tex]\omega L=\frac{1}{\omega C}[/tex]
[tex]\omega ^2=\sqrt{\frac{1}{LC}}=\frac{1}{\sqrt{37\times 10^{-6}\times 37\times 10^{-6}}}=27027.027rad/sec[/tex]
We know that angular frequency [tex]\omega =2\pi f[/tex]
[tex]2\times 3.14\times f=27027.027[/tex]
f = 4303.66 Hz =4.30 kHz
