Download Final - ECE232

2013
ECE 232 Final
Q-1- For the transformer circuit below the following mathematical equations are valid in
Laplace domain: V1=nV2 and I2=-nI1 (where n=0.2). The impedance values of the inductor is
1
XL=s Ohm and the impedance value of the capacitor is Xc = Ohm. Find the input
s
V1
impedance Zin = .
I1
I1
XL
I2
n=0.2
+
+
V1
V2
-
-
XC
Q-2- For the circuit below R=2 Ohm, L=2 Henry. Vin(t)=u(t)-u(t-1) Volt where u(t) is the unit
step function.
L
+
Vin(t)
VR
R
-
a) Find the transfer function of this circuit in Laplace domain where transfer function is
V (s)
defined as H (s) = R .
Vin (s)
b) Find the impulse response h(t) where h(t) = L-1 { H(s)}
c) Using convolution integral find VR(t) where VR (t) =
t
òv
in
(t - t )h(t )dt
-¥
Q-3 For the phasor
é V ù é Z
Z12
ê 1 ú = ê 11
êë V2 úû êë Z 21 Z 22
domain circuit below find the port parameters of the impedance matrix
ùé I ù
úê 1 ú where XL=j Ohm, XR=1 Ohm and XC=-j Ohm.
úûêë I 2 úû
XC
XL
+
+
I1
V1
-
XR
I2
V2
-
Q-4- A balanced three phase circuit is given below. The source side of the circuit is Yconnected and the load side is Delta-connected. The source side voltage Vin= 100 Volt rms.
The source side average power is PT= 100 Watt and the source side reactive power is Q T=100
VAR. The line impedance is Xline= 5+5j Ohm. Find Iin, Vout, Iout and Xload.
Iin
+
+
Xline
Vin
-
Xload
- Vin
Xload Vout
Vin
Xload
+
Xline
+
Xline
Iout