概要信息：

¢›Ô RLC>´y–
Xhè 1300011329
±e5|11Ò
¢žm2014c1028F
wžm2014c1112F
1 8‡¦
(1) ïÄRLC>´y–
(2) 
)RLC>´ƒªA5Ú̪A5
2 ¤ì^ä
IO>aì(BG 6/4.L = 0.1 H)!ÖÑ«Åì!õǼêu)ì(DG1022.)!IO>{(100±
0.1Ω)!êi^L(FLUKE 45.)!›?ª>N‡(Rx 7/2.)
3 ¢n
3.1 RLCGé>´
g¢̇ïÄRLCGé>´5Ÿ§Ùo{|Z!>Øu†>6iƒmƒ φ!>
6i©O
|Z| =
√
R2 + (ωL− 1/ωC)2
ϕ = arctan
ωL− 1/ωC
R
i =
u√
R2 + (ωL− 1/ωC)2
>´ãXe¤«§
1
±enã©OL«RLCGé>´{||Z|§>6i†>Øuƒ ϕÚ>6i‘ªÇCz
­‚.Œ±wѪNJ
f0 =
1
2π
√
LC
ž§>´o{|ˆ4§>6†>ØӃ .
3.2 ¬ŸÏê
¬ŸÏf½Â
Q =
uL
u
=
uC
u
=
ω0L
R
=
1
Rω0C
f1,f2¸üýi = im√
2
?ªÇ, ∆f = f2 − f1¡‘°.ØJy²
Q =
f0
∆f
4 ¢SN
4.1 ªÇ±9¬ŸÏêÿþ
ÄkUì>´ãë>´.Ù¥L = 0.1 H, C = 0.05µF, R = 100 Ω.
æ^oiXã/{ÿþ>´ªÇf0. ƒæ^ü«{ÿþQŠ.
(1) Q1 = 1
ω0R
′C
, R
′
= u
uR
R. Ù¥u±9uR^êi^L?1ÿþ.
(2) Q2 = uC
u . Ù¥u±9uC^êi^L?1ÿþ.
2
4.2 ƒªA5­‚ÿþ
ÿþ±eªÇƒ φ§LP¹êâ.ùpÏLN!ªÇf§¦ك TЏϕ =
±80◦, ±72◦, ±60◦, ±45◦, ±30◦, ±15◦, 0◦.§Øu2′§P¹ƒAªÇf§xѪÇA5­
‚.duI‡ÏLӘƒ žm±9ªÇ5äك §ƒéO(ƒ J±ÏL†N
!ªÇ§Œ±ÏLe¡úªýƒ éAªÇ:
f =
tanϕ+
√
(tanϕ)2 + 4L/R′2C
4πL/R′
.
4.3 ̪A5­‚ÿþ
NªÇf9̧¦IIà>ر31.0000V§ÖÑØӪǞuR.
xÑ̪A5­‚, ¿OŽQ3 = f0
∆f .
5 êâL‚
5.1 ªÇ±9¬ŸÏêÿþ
f0 = 0.2250 kHz, u = 0.9999 V, uR = 0.7717 V, uC = 10.749 V
5.2 ƒªA5­‚ÿþ
∆t (µs) -128.0 -102.0 -80.5 -58.0 -38.5 -19.0 -0.4
∆ϕ (◦) -79.90 -71.93 -60.39 -45.14 -30.42 -15.05 -0.32
f (kHz) 1.735 1.959 2.084 2.162 2.195 2.200 2.230
∆t (µs) 82.5 83.0 70.0 54.5 37.0 19.0
∆ϕ (◦) 79.30 72.33 59.72 45.22 30.25 15.45
f (kHz) 2.670 2.421 2.370 2.305 2.269 2.259
5.3 ̪A5­‚ÿþ
u = 1.0000 V
f (kHz) 1.735 1.845 1.959 2.000 2.084 2.100 2.162
uR (V) 0.13271 0.17273 0.24217 0.28001 0.3972 0.4284 0.5842
f (kHz) 2.180 2.195 2.198 2.200 2.215 2.230 2.240
uR (V) 0.6375 0.6813 0.6896 0.6951 0.7320 0.7584 0.7686
f (kHz) 2.259 2.265 2.269 2.280 2.305 2.340 2.370
uR (V) 0.7682 0.7626 0.7578 0.7396 0.6802 0.5837 0.508
f (kHz) 2.400 2.421 2.500 2.670
uR (V) 0.4447 0.4075 0.30612 0.19808
3
6 êâ?n9(J
6.1 ªÇ±9¬ŸÏêÿþ
R′ =
u
uR
R = 129.57 Ω, Q1 =
1
2πf0R′C
= 10.918
Q2 =
uC
u
= 10.749
®
σL = 1× 10−4 H, σC = 3× 10−5 µF, σu = 3× 10−3 V, σuR = 2× 10−3 V, σuC = 3× 10−2 V
©ÛÙØ(½ÝŒ:
σQ1 = 0.04, σQ2 = 0.04
Ïg
Q1 = 10.92± 0.04, Q2 = 10.75± 0.04
6.2 ƒªA5­‚ÿþ
4
6.3 ̪A5­‚ÿþ
l㥌±ÖÑ
im = 7.67 mA, f0 = 2.249 kHz, f1 = 2.145 kHz, f2 = 2.357 kHz
Œ±OŽ¬ŸÏê
Q3 =
f0
∆f
=
f0
f2 − f1
= 10.61
7 gK
(1) >´
ªÇ¿Ø6u>{ŠŒ,ÏdØC.
>{CŒK¬¦¸Š>6Ú¬ŸÏ
êü$,nØOŽŒ
i′m =
100
500
im = 1.53 mA, Q′ =
100
500
Q1 = 2.19
5