ME 451, Homework #2
Due: February 1, 2008
1. Consider the circuit shown below.
v1(t)v2(t)v3(t)
R1
R2
L
C
++
+
−−
−
(a) Find the transfer function from v1(t)to v2(t).
(b) Find the transfer function from v1(t)to v3(t).
(c) Find the transfer function from v2(t)to v3(t).
2. Consider the circuit shown below.
v(t)vC(t)
iL(t)
R1
R2
L
C
+
+
−
−
(a) Find diL(t)
dt and dvC(t)
dt in terms of iL(t),vC(t)and v(t).
(b) Find IL(s) = L{iL(t)}and VC(s) = L{vC(t)}in terms of V(s) = L{v(t)}, the initial
inductor current iL(0) and the initial capacitor voltage vC(0).
(c) Find the transfer functions from v(t)to iL(t)and from v(t)to vC(t).
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