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CIRCUIT ANALYSIS I
Final Exam
June 8, 1998
ate.
You are allowed three 8
iw
2
Covenants
This is a closed book, closed notes exam.
x 11” in. pages of notes.
e Problems are weighted individually as shown below.
Present your work neatly and place a box around your final answer if appropri-
e Read each problem carefully; do only what is asked, and answer the question
completely.
® Print your name here:
Sol
Pi
(20)
P2
(20)
P3
(20)
Pa
(20)
P5
(20)
P6
(20)
Total
(120)
1. For the circuits shown below:
a) Find the Thevenin equivalent with respect to the terminals a and b.
10 -
&
b) Find the Thevenin equivalent with respect to the terminals a and 6.
2Ux ~ Un 4
ag
3 C112 (pj
Lb
Vy 7/2
(4202 Vv Re Ue
#\
_ 2.
4\
4, For the circuit shown below the switch closes at = 0:
soe
es
yo of Vie)
a) Find and sketch v(t).
oda
Gilet 4 BES
6
—
b) Find and sketch éz(t).
Gln O2(/- e /°*)
¢) Find the final value of the energy stored in the inductor.
f
£ 6 (02a)*= OF T
‘) :
5. For the circuit shown below, the switch has been at position “A” for a long
time, and moves from “A” to “B” at ¢ = 0 and then moves from “B” to “C” at.
t=1. At a
ee V4
8B
/O
a) Find the value of we(t) at t = 18.
b) Find, sketch, and label ve(t) for t > 0.
~ 2y- 2
a De: tine oe ee)
¢ + _
oh 5 ass $00 F
Kee = Shi" oye’
2.5-
-t ~- @t
Be 12. 4{ 19€ Ef e 7 Por
ee eg
,
{
t
C2
SS
oT
6. For the circuit shown below with the initial conditions indicated,
SEA
312.6 m/f
a) If L = 312.5mH and C = 5y/’, find FR for critical damping.
k= 1aseve
=
BA2S-= .373.5- =z ysoe
b) If the roots of the characteristic equation for the above differential equation
are evaluated as $12 = —800, use the initial conditions to find i,(t) for
t>0.
‘ ~ foot ~goo&
f.tet) = A) F o fe a €
£, 9) = Bol Li =] ~ As Rae - od
. } ey
“ilad= Of - 070, = fey
Y= ee - ¥o9 = SHO
6
. “9
le) OF 4 peo tet? * oy _- Boek
% 3 Z
