Name:_
(e) Calculate U, H, S, q and w for the entire cycle. Express your answers in terms of
T1, T2, T3, T4, CV, CP, V1 and V2.
10
Name:_
R
V CV
( wII + wIV )
. Show that = 1 1 .
(f) The efficiency of the cycle is defined as: =
qII
V2
11

ME-3017 Practice Problems for Final Exam
Name (PRINT)
Solution:
(a) Characteristic equation:
1
k
0
s 3 (a 1) s 2 as
s 3 (a 1) s 2 as k 0
k 0, a 0
Hurwitz matrix:
0
a 1 k
1
a
0
0
a 1 k
Stability condition is (a 1)a
k
(a 1)a k 0, a 0
(ANS)
(b)
The charac

ME-3017 Practice Problems for Final Exam
Name (PRINT)
x
16.3% overshoot
1
t
(c) FALSE. Since
b
(ANS)
, you need to DECREASE k to make the system critically
2 k
damped.
6. Consider the following feedback system where P(s) represents the dynamics of the
pl

4. Determine the collector current, Ic, for the following BJT circuit.
[312399, VBE(OH)=0.7V.
Vcc=10V '
Rc=4.65kﬂ
13 0.7 V
10
OJV
c m2111A
=1.98mA
3) lo =2.15mA
(4) lo m0.02mA
(5) 1c €1.435mA
(6) None of the above
\0 vu oil V A
7'" : 2 VW .
I 4. 6 ‘5 £5

Name:_
Problem 4 (15 points)
The folded protein RNase A is found to be in equilibrium with unfolded forms:
protein( folded , native) protein(unfolded , denatured )
The following concentration data are measured:
Temperature
50
100
Native concentration
9.97

Name:_
(b) Calculate U, H, S, q and w for step II. Express your answers in terms of T1, T2,
T3, T4, CV, CP, V1 and V2.
8
Name:_
(c) Calculate U, H, S, q and w for step III. Express your answers in terms of T1, T2,
T3, T4, CV, CP, V1 and V2.
(d) Calculate