9 3解:i I 1 macosΩt cosω0t
Icosω0t I有效值
II
macos ω0 Ω t macos ω0 Ω t22
2
2
2
I I I
ma ma 2 2 22
2
maI
22
1 v 25 1 0.7cos2π5000t 0.3cos2π100009 4解:t sin2π106t
25sin2π106t 8.75 sin2π1005000 sin2π995000
3.75 sin2π1010000 sin2π990000 2 包络25 1 0.7cos2π5000t 0.3cos2π10000t
V V025 1 0.7 0.3 25
峰值调幅度m max 0.4
上
V0
25
V0 Vmin25 25 1 0.7 0.3 1
V025
121
1 ma 1时9 5解:P ω0 Ω P ω0 Ω maP0T 100 25 W
44121
2 ma 0.3时P ω0 Ω P ω0 Ω maP0T 0.32 100 2.25 W
44
3
9 6解:i b1v b3v不包含平方项,不能产生调幅作用。
1 P ω0 Ω P ω0 Ω 1ma2P0T 1 0.72 5000 612.5 W 9 7解:
44
W P ω0 Ω 2P ω0 Ω 1225
谷值调幅度m下
2 P P0av
η
P0T5000 10 kW η0.5
2 ma0.72
P0T 1 5000 1 2 2P0av 12.45 kW 3 P
ηη0.5
1 ma 1时9 8解:
121
maP0T 1000 250 W 44
W P0 P0T P ω0 Ω P ω0 Ω 1000 250 250 1500P ω0 Ω P ω0 Ω
2 ma 0.7时
121
maP0T 0.72 1000 122.5 W 44
W P0 P0T P ω0 Ω P ω0 Ω 1000 122.5 122.5 1245P ω0 Ω P ω0 Ω
kHz 9 9解:f f0 f1 f2 f3 f4 5 20 200 1780 8000 10005