Timothy Miskell
Circuit Theory I
Homework 10
April 20, 2013
1. The switch in the circuit has been in position a for a long time. At t = 0, it moves to position
b. Calculate i(t) for t > 0.
t=0
a
3 Ohms
6 Ohms
b
i
3 Ohms
+
(i) Req1
+
30 V
2F
12 V
3 6
(i)
Name:_
Circuit Theory I (16.201): Final Exam (Fall2008)
Total 25 pts + 5 (bonus).
1. (5pts) The switch in the circuit has been open for a long time before closed at t = 0.
Find v(t) for t 0.
12V
+
+
v
2
4
12
0.5F
t=0
Dec 20, 2008
2. (5pts). Find v(t) for
12/8/2014
Chapter7,Chapter8Review
L23
StepresponseofgeneralRCcircuit
Oneormoreswitcheschanges
i
structureofcircuitatt=0.
+
+
C
v
0,stepresponse:
v(t) = v() + (v(0) v() e
t
R th C
Threekeyparameters:
1.
Initialconditionv(0)=V0,
Establishedfromcircuitbef
Name:_
May 20, 2009
Circuit Theory I (16.201): Final Exam (Spring09)
Total 25 pts + 5 (bonus).
1.
1 (5) The switch in the circuit has been closed for a long time before opening at t = 0.
0
Find iL(t), and vR(t) for t 0.
iL
12
4H
+
t =0
8
10A
vR
_
2. (5pts
3/26/2013
Problem 1
V and
0.4
A,t>0
In the following circuit, if
10
(a) Find R and C.
(b) Determine the time constant.
(c) Calculate the initial energy in the capacitor.
(d) Obtain the time it takes to dissipate 50 percent of the initial
energy.
i
R
C
4/19/2013
Problem 1
The switch in the circuit has been in position a for a long time. At
t=0, it moves to position b. Calculate i(t) for all t > 0.
(i(1) = 1.363A)
3
a
0
b
i
6
30V
2F
3
12V
Problem 2
In the following circuit, is(t) = 5u(t). Find v(t).
(v(
Timothy Miskell
Circuit Theory I
Homework 11
April 20, 2013
1. For the following circuit find:
(a)
(b)
(c)
i 0 and v 0
dv 0
dt
i and v
t=0
6 Ohms
+
4 Ohms
i
18 V
2H
+
0.4 F
V

(i)
v v c 0
v 0
18V
v0 v0 18V
i i L 0
18V
6
3A
i 0 i 0 i 0 3 A
(t < 0)
4/19/2013
Problem 1
For the following circuit, find:
(a) i(0+) and v(0+),
(b) dv(0+)/dt ,
(c) i() and v().
0
4
6
i
18V
0.4F
2H
Problem 2
The current in an RLC circuit is described by
10
25
0
If i(0) = 3A and di(0)/dt = 1A/s, find i(t) for t>0
Problem 3
A
StepresponseofRCcircuit:
StepresponseofRLcircuit:
0
0
Keypointsforstepresp.ofseriesRLCcircuits:
v
C
+
+
Forcircuitafterswitch(t>0),obtainThevenins
equivalent( ,
w.r.tLC
iL
L
+
L
Obtainv(0),
C
v
0 fromcircuitbeforeswitch
Assign bypassivesignc