§ 9-2 Average power
0)c o s2(1 ?? TIVT mm ?
?? T p d tTP 01
The pure resistor:
1c o s0 ?? ??
RVRIVIIVP mmR /2 22 ????
0?XP
The pure inductor(capacitor),0co s)90(90 ??? ?? ??
tdtIVIVT T mmmm? ??? 0 )]2c o s (2c o s2[1 ???
?? c o sc o s2 VIIV mm ??
Example 1,If
.)(.602,6c o s24 Pa n dtpF i n dZtV ???? ???
Solution:
A
Z
VI ????
?
???
?
?
602
602
04
?
?
Atti )606c o s (22)( ??? ?
At )603c o s (84 ???? ?
)606c o s (226c o s24)( ???? tttp ??
2
)60
3
c o s (60c o s
16
???
??
t??
WP 460c o s24 ??? ?
i
pi,,?
t?
?
p
Time
12s 14s 16s 18s 20s 22s 24s
V(V1:+) W(R1) I(R1)
-10
0
10
R1
1
V1
F R E Q = 0, 0 8 0 3
V A M P L = 5, 6 5 6
V O F F = 0
W
0
I
L1
3, 3
1
2
V
0)c o s2(1 ?? TIVT mm ?
?? T p d tTP 01
The pure resistor:
1c o s0 ?? ??
RVRIVIIVP mmR /2 22 ????
0?XP
The pure inductor(capacitor),0co s)90(90 ??? ?? ??
tdtIVIVT T mmmm? ??? 0 )]2c o s (2c o s2[1 ???
?? c o sc o s2 VIIV mm ??
Example 1,If
.)(.602,6c o s24 Pa n dtpF i n dZtV ???? ???
Solution:
A
Z
VI ????
?
???
?
?
602
602
04
?
?
Atti )606c o s (22)( ??? ?
At )603c o s (84 ???? ?
)606c o s (226c o s24)( ???? tttp ??
2
)60
3
c o s (60c o s
16
???
??
t??
WP 460c o s24 ??? ?
i
pi,,?
t?
?
p
Time
12s 14s 16s 18s 20s 22s 24s
V(V1:+) W(R1) I(R1)
-10
0
10
R1
1
V1
F R E Q = 0, 0 8 0 3
V A M P L = 5, 6 5 6
V O F F = 0
W
0
I
L1
3, 3
1
2
V