Show that the peak inductor voltage in a series RLC circuit is maximum at frequency ${\omega }_L={(\frac{1}{{\omega }_0^2}-\frac{1}{2}{R}^2{C}^2)}^{-1/2}$.

A series RLC circuit with ε​₀ = 10.0 V consists of a 1.0 Ω resistor, a 1.0 μH inductor, and a 1.0 μF capacitor. What is V₁ at ω = ω₀ and at ω = ω₁?

Consider the parallel RLC circuit shown in FIGURE CP32.72. What is I in the limits ω→0 and ω→∞?