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