## University Physics with Modern Physics (14th Edition)

a. $\omega = \frac{1}{\sqrt{ LC}}$. b. 7560 rad/s, $37.8 \Omega$.
a. Equate the reactance of the capacitor to that of the inductor and solve for the angular frequency. $$\frac{1}{\omega C}=\omega L$$ $$\omega = \frac{1}{\sqrt{ LC}}$$ b. Use the numbers given in the problem. $$\omega = \frac{1}{\sqrt{ (5.00\times10^{-3}H)( 3.50\times10^{-6}F)}}=7560 rad/s$$ $$\frac{1}{\omega C}=\omega L=37.8 \Omega$$