t=0
R WW
4 mH
20V
10F
-vc(t)
Problem 1.25%
In this homework,there is a RLC series circuit show as the above figure.If we use L=4mH, C = 10 micro F, please derive the correct 2nd order ODE that describes both the transient and steady state behavior of vt)=? Not that the initial condition is set for v.0)=0 i(0)=0.
Problem 2 25%
R If the given resistance R=60 Ohm, please find the damping coefficient a =
vc(t) = v + va(t) with both particular solution (v), homogeneous solution (va(t)) and sketch the shape of vc(t) in a graph.
Problem 3 25%
Wo
ve(t) = v + va(t) with both particular solution (v), homogeneous solution (va(t)) and sketch the shape of vc(t) in a graph.
Problem 4 25%
vc(t) = v? + va(t) with both particular solution (v), homogeneous solution (va(t)) and sketch the shape of vc(t) in a graph.