19.
UA
For the circuit in Fig. 10.94, composed of standard values:
a. Determine the time constant of the circuit.
b. Write the mathematical equation for the voltage vc following the closing of the switch.
c. Determine the voltage vc after one, three, and five time
constants.
d. Write the equations for the current ic and the voltage u^.
e. Sketch the waveforms for VQ and icR
AM
c
lookn
.20 V
c:
: 5.6
Vc
• I
FIG. 10.94
-Vo.FC
or
t
US)
TOV
+
5V
=
0 . 2 e.
23.
Given the
a. What is
b. What is
c. What is
Uo)
t-
voltage i;c = 12V(1 - g-'/ioOMS).
the time constant?
the voltage at 7 = 50 /is?
the voltage at t — 1 ms?
ro^s
3
Cc)
t=^ . r
25.
For the circuit in Fig. 10.97, composed of standard
values:
a. Determine the time constant of the circuit when the
switch is thrown into position 1.
b. Find the mathematical expression for the voltage across
the capacitor and the current after the switch is thrown
into position 1.
56 /AF
29
R kCl v/f
FIG. 10.97
Prvblem 25.
•^t.
(H-JOO
jT)(r6xro-^ p)
_
0. *
C^.
—r:HMt,
*/o.2t3:
e
•vt>l
-
O.
26 5 S^u>v^As
39.
The capacitor in Fig. 10.110 is initially charged to 10 V
with the polarity shown.
a. Write the mathematical expressions for the voltage vc
and the current ic when the switch is closed.
b. Sketch the waveforms of vc and ic-
-MV1.5 kn
+
I'c
<6
C
2.2/AF
10 V
R G . 10.110
Prvblem 39.
^So^cr-
f-'^)(^'U/l3
.AAA—
n. 2 v
(04
27.1VOAT5
^Ar
—;—
H
-
t
11.
For the circuit of Fig. 11.78 composed of standard values:
a. Determine the time constant.
b. Write the mathematical expression for the current
after the switch is closed.
c. Repeat part (b) for
and u^.
d. Determine ii and
at one, three, and five time constants.
e. Sketch the waveforms of
v^, and u^.
R
< y r .
'L
20 kn
300 mH
£ -=-20V
FIG. 11.78
Problem 11.
50Ov/,H H
/ c
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J ;
V
cj
(c)
l/virj>»zzy
4=52^
so
kVL
l-e,
R6Quri«.«
^
-u^ = £
fv^A
= Xo V
cf
t '
V
^
0.632>l
7.UV
ciso/l
6.T?6V
.T93/1
./3S-V
hJiM
Tift (^^ '^
*19.
For the network in Fig. 11.86:
a. Determine the mathematical expressions for the current
/ / and the voltage
following the closing of the
switch.
b. Repeat part (a) i f the switch is opened at t = 1 /zs.
c. Sketch the waveforms of parts (a) and (b) on the same
set of axes.
VAr—=
:i2V
1 mH
•10 kn
FIG.
11.86
Problem 19.
=
R
0.5
VIOL'S
2kri
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5
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21.
For Fig. 11.88:
a. Determine the mathematical expressions for
following the closing of the switch.
b. Determine i^^ and
after one time constant.
and
'L
3kft
2kn
12V
-6.2ka
47 mH
V,
-AAV
2.2 kO
FIG.
FTN6
RTH
CTH
11.88
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