Biomedical Engineering Reference
In-Depth Information
u ð t Þ
e 2 t
20. A current pulse given by
is applied through a 10-mH inductor. (a) Find
the voltage across the inductor. (b) Sketch the current and voltage. (c) Find the power as a
function of time.
21. The voltage across an inductor is given by the following figure. If
i ð t Þ¼
2
þ
10
L ¼
30 mH and
i ð
0
Þ¼
0A,
find
i ð t Þ
for t
0.
v
(mv)
4
t
0
1
2
3
(s)
Þ e 2000 t u ð t Þ
22. The voltage across a 4
V. Find (a) the
current through the capacitor, (b) power as a function of time, and (c) energy.
23. The current through a 5
m
F capacitor is
v ð t Þ¼
ð
200, 000
t
50,000
m
F capacitor is
<
:
0mA
t
<
0ms
5t 2 mA
0
t
<
1ms
i ð t Þ¼
mA t
5 2-t 2
1ms
Find the voltage across the capacitor.
24. The switch has been in position
a
for a long time. At
t ¼
0, the switch instantaneously moves
to position
b
. Find
i L and
v 1 for
t >
0.
3
Ω
a
i L
t = 0
b
+
v 1
6 V
10
2 H
Ω
25. The switch has been in position
a
for a long time. At
t ¼
0, the switch instantaneously moves
to position
b
. Find
i L ,
i 1 , and
v 1 for
t >
0.
a
i L
i 1
t = 0
2 Ω
b
+
v 1
10 V
4 Ω
5i 1
3 H
12 Ω
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