Determine the type of homogeneous solution for the series RLC circuit for the following component values, and specify the damping ratio 𝜁 and resonant frequency 𝜔o. (a) R = 100 Ω, L = 1 mH, and C =...

Determine the type of homogeneous solution for the series RLC circuit for the following component values, and specify the damping ratio 𝜁 and resonant frequency 𝜔o. (a) R = 100 Ω, L = 1 mH, and C = 5 μF. (b) R = 10 Ω, L = 2 mH, and C = 5 μF. (c) R = 1000 Ω, L = 1 mH, and C = 20 μF.