Twoim problemem jest to, że powszechną NICOŚĆ mylisz z osobistą PUSTKĄ
Przykþadowe zadania z odpowiedziami na kartkwkħ z szeregw Fouriera
(Opracowali dr. Cz. Michalik i A. Dobrucki)
Zad. 1
eeut
R
C
ut
i
t
L
R
= = =
C
L
e
H s
= = = =
+ + ++
s
I s LCs CRs
s s
Z
k
I
zk
=− =
j
k
j
k
=
H s
= =
=
eeeut
s j
j
U
sk
= = =
I H j
z
Zad. 2.ee
ete
R
=
=
L
et
L
et
R
t
e
−−−
=
()()
( )
j
k
k
E
k
kj
Ls
U s
P
= = =
e
{}
{}
( )
U I
I
e
Z
e
{}
{}
{}
U U Y
= =
U
e
Y U
e
Y
ee
H s
= = =
I s I s
Y s
U s E s
−−−
( )
()()
j
k
k
e
Y s
=
+
I H s
= =
E
k
k
R sL
s j k
=
R j kL
+
kj
I H s
= = =
E
−−−
( )
()()
j
s j
=
R j L
+
j
− −− =−
j
j
P
= =
I R
W
()
2
2 2
I I
=
2
5
5
Zad. 3. eeei
te
R
=
=
C
F
i
c
t
i
t
16
i
t
-12
-4
4
12
t
R
C
-16
j
−
k
j
s
+
j
j
I
= =−
I
H s
=
+
I
= − =
zk
k
z
s
C A
Zad. 4. eeei
te
R
=
=
C
F
i
R
t
i
t
i
t
t
R
C
−
k
Odp.
I
= =
j I
H s
=
+
I
=
zk
k
z
s
C A
== =
 Zad. 5.
eeeee
it
C
et
R
et
L
t
it
e
C
= = =
F L H R
E
= −
H s
= = =
LCs
s
H j
j
LCRs L
s R
++ ++
o
s s
I
= − =
j
j
+
sk
Zad. 6.
e e e e
ut
L
ut
i
z
t
i
z
t
C
R
t
e
C F L H R
= = =
H s
= = = =
U s
+ + ++
Ls
s
I
=− +
j
I s LCs CRs
s s
z
Z
H j
+
=
j
U
= − + =
+ +
j
j
A
Zad. 7. eeeee
ut
i
t
e
( )
R
1
i
t
L
C
R
2
ut
e
( )
e
− −
R
=
=
= =
R
L H C
t
−
 H s
+
=
+ +
( )
s
= = =−
H j
H j
j
I
=
j
s
s
z
U
A
=
Zad. 8. eeeeee
ite
et
e
− −
()
it
R
e
C
C
= =
F L H
et
R
L
R
=
=
R
Odp.
H s
=
+ +
s
s
H s
s j
= =
=−
j
j
E
=−
I
sk
=
=
I
Zad. 9. ee
i
t
t
R
t
C
L
R
= = =
L
C
Odp.
I
=− = = =
=
j
I
P
e
{ }
Z j
I
Z
Z
h
wej
Z
Zad. 10. eeeu(t)
Dane R R L C
====
i
z
(t)
R
2
e
−+
t t
i
z
(t)
e
t t
L
−−
t
R
1
C
u(t)
− 3
2 4
5
t
+
U
=
sk
Zad. 11. eeei(t))
Dane R R C
=== =
i(t)
L
L
e(t)
e
R
1
−−
t t
t
R
2
e(t)
C
−3 3 6
9 12
15
e
t t
+
I
sk
=
Zad. 12.
eu(t)eeee
i(t)
R
= = = =
R
L
C
i
z
(t)
R
1
L
i(t)
i
z
(t)
sin
t
u(t)
R
2
C
−3
−
5
7
3
U
=
=
I
sk
Zad. 13.
ei(t)eee
u(t)
R R
= = = =
L
C
u(t)
e(t)
L
R
1
i(t)
e t
sin
t
C
R
2
−/4
/4
/2
3/4
I
=
=
U
sk