Answer to Question #185163 in Electric Circuits for Lawrencia

Question

Calculate the resonance frequency of a circuit capacitive reactance value of a 310nF capacitor and inductive reactance value of a 2m Ω inductance.

Answer 1

$C=310nf=310\times 10^{-9}F, L=2m\Omega=2\times 10^{-3} \Omega$

Resonance frequency $\omega_o=\dfrac{1}{\sqrt{LC}}=\dfrac{1}{\sqrt{310\times 2\times 10^{-12}}}=\dfrac{10^{12}}{\sqrt{620}}=1.62\times 10^9 sec^{-1}$