Design a series rlc circuit with zeta 05 and omega0nbsp

Question

1. Design a parallel RLC circuit whose natural response has the form

v_L(t) = K1e^-20,000t + K2te^-20,000tV t>=0

2. Design a series RLC circuit with ζ = 0:5 and ω₀ = 100 krad/s.

(a) What is the form of the natural response of v_C(t) for your design?

(b) Simulate your circuit in Multisim.