Answer:
(B) 7279.70 rad/sec (C) [tex]X_L=37.1265\ ohm\ and \ X_C=37.1265\ ohm[/tex]
Explanation:
We have given [tex]L=5.10mH[/tex] and [tex]C=3.70\mu F[/tex]
(B) The angular frequency is denoted as [tex]\omega[/tex] whose value is given by [tex]\omega =\frac{1}{\sqrt{LC}}=\frac{1}{\sqrt{5.10\times 10^{-3}\times 3.70\times 10^{-6}}}=7279.70\ rad/sec[/tex]
(C) The inductive reactance [tex]X_L=\omega L=7279.70\times 5.10\times 10^{-3}=37.1265\ ohm[/tex]
Capacitive reactance [tex]X_C=\frac{1}{\omega C}=\frac{1}{7279.70\times 3.70\times 10^{-6}}=37.1265\ ohm[/tex]
