SPRAWOZDANIE nr 1
Temat:
Sygnały w obwodzie RC[Author ID1: at Wed Nov 11 11:20:00 1998
]L[Author ID1: at Wed Nov 11 11:20:00 1998
] - wymuszenie skokowe .
[Author ID1: at Wed Nov 11 11:20:00 1998
]Schemat pomiarowy:
Równania charakterystyczne układu (po zamknięciu klucza):
[Author ID1: at Wed Nov 11 11:30:00 1998
][Author ID1: at Wed Nov 11 11:27:00 1998
][Author ID1: at Wed Nov 11 11:27:00 1998
]
[Author ID1: at Wed Nov 11 11:27:00 1998
]
[Author ID1: at Wed Nov 11 12:38:00 1998
]
D[Author ID1: at Wed Nov 11 12:36:00 1998
][Author ID1: at Wed Nov 11 11:22:00 1998
][Author ID1: at Wed Nov 11 11:22:00 1998
][Author ID1: at Wed Nov 11 11:22:00 1998
]
[Author ID1: at Wed Nov 11 11:22:00 1998
]la wymuszenia napięciem stałym E mamy równanie obwodu w postaci: [Author ID1: at Wed Nov 11 12:38:00 1998
]
[Author ID1: at Wed Nov 11 12:37:00 1998
] [Author ID1: at Wed Nov 11 12:37:00 1998
]E = u[Author ID1: at Sun Nov 8 12:31:00 1998
]U[Author ID1: at Sun Nov 8 12:31:00 1998
]R(t) + u[Author ID1: at Sun Nov 8 12:31:00 1998
]U[Author ID1: at Sun Nov 8 12:31:00 1998
]L[Author ID1: at Wed Nov 11 11:30:00 1998
]C[Author ID1: at Wed Nov 11 11:30:00 1998
]([Author ID1: at Wed Nov 11 11:30:00 1998
](t[Author ID1: at Wed Nov 11 11:30:00 1998
]t[Author ID1: at Wed Nov 11 11:30:00 1998
]),
czyli p[Author ID1: at Wed Nov 11 12:38:00 1998
]P[Author ID1: at Wed Nov 11 12:38:00 1998
]o podstawieniu spadków napięć na poszczególnych elementach do [Author ID1: at Wed Nov 11 12:39:00 1998
]powyższego wzoru otrzymamy równanie różniczkowe I rzędu:
[Author ID1: at Sun Nov 8 12:17:00 1998
][Author ID1: at Sun Nov 8 12:17:00 1998
]
[Author ID1: at Sun Nov 8 12:17:00 1998
]- równanie uzależnimy od napięcia na kondensatorze, czyli[Author ID1: at Sun Nov 8 12:17:00 1998
]:[Author ID1: at Sun Nov 8 12:17:00 1998
]
[Author ID1: at Sun Nov 8 12:17:00 1998
][Author ID1: at Sun Nov 8 12:17:00 1998
][Author ID1: at Sun Nov 8 12:17:00 1998
]
[Author ID1: at Sun Nov 8 12:17:00 1998
]
Równanie ma postać:[Author ID1: at Sun Nov 8 12:32:00 1998
] [Author ID1: at Sun Nov 8 12:33:00 1998
]
,[Author ID1: at Sun Nov 8 12:23:00 1998
][Author ID0: at Thu Nov 30 00:00:00 1899
]
[Author ID1: at Sun Nov 8 12:26:00 1998
]Cz[Author ID1: at Sun Nov 8 12:23:00 1998
]N[Author ID1: at Sun Nov 8 12:25:00 1998
]yli[Author ID0: at Thu Nov 30 00:00:00 1899
]
n[Author ID1: at Sun Nov 8 12:25:00 1998
]apięcie [Author ID1: at Wed Nov 11 11:37:00 1998
]na [Author ID1: at Wed Nov 11 11:36:00 1998
]kondensatorze:[Author ID1: at Wed Nov 11 11:35:00 1998
]cewce:[Author ID1: at Wed Nov 11 11:35:00 1998
] U[Author ID1: at Sun Nov 8 12:24:00 1998
]i[Author ID1: at Sun Nov 8 12:25:00 1998
]C[Author ID1: at Wed Nov 11 11:35:00 1998
]L[Author ID1: at Wed Nov 11 11:35:00 1998
] = U[Author ID1: at Sun Nov 8 12:26:00 1998
]i[Author ID1: at Sun Nov 8 12:26:00 1998
]C[Author ID1: at Wed Nov 11 11:35:00 1998
]L[Author ID1: at Wed Nov 11 11:35:00 1998
]ustalona + U[Author ID1: at Sun Nov 8 12:26:00 1998
]i[Author ID1: at Sun Nov 8 12:26:00 1998
]C[Author ID1: at Wed Nov 11 11:36:00 1998
]L[Author ID1: at Wed Nov 11 11:36:00 1998
]przejściowa
gdzie: [Author ID1: at Wed Nov 11 12:36:00 1998
] [Author ID1: at Wed Nov 11 12:40:00 1998
][Author ID1: at Wed Nov 11 12:36:00 1998
][Author ID1: at Wed Nov 11 12:36:00 1998
][Author ID1: at Wed Nov 11 12:36:00 1998
]
[Author ID1: at Wed Nov 11 12:36:00 1998
][Author ID1: at Wed Nov 11 12:36:00 1998
]
U[Author ID1: at Sun Nov 8 12:26:00 1998
]C[Author ID1: at Wed Nov 11 11:36:00 1998
]u [Author ID1: at Wed Nov 11 11:38:00 1998
] =[Author ID1: at Wed Nov 11 11:38:00 1998
] [Author ID1: at Wed Nov 11 12:34:00 1998
]E[Author ID1: at Wed Nov 11 12:32:00 1998
]
Składową przejściową prądu[Author ID1: at Wed Nov 11 11:37:00 1998
]napięcia[Author ID1: at Wed Nov 11 11:37:00 1998
] obliczamy z równania charakterystycznego:
podstawiając za i[Author ID1: at Wed Nov 11 11:43:00 1998
]u[Author ID1: at Wed Nov 11 11:43:00 1998
]C[Author ID1: at Wed Nov 11 11:43:00 1998
]L[Author ID1: at Wed Nov 11 11:43:00 1998
]p(t) = Aest i jednocześnie różniczkując powyższe równanie otrzymamy:
z którego wynika, że:
K[Author ID1: at Wed Nov 11 11:50:00 1998
]Z[Author ID1: at Wed Nov 11 11:51:00 1998
]orzystając [Author ID1: at Wed Nov 11 11:51:00 1998
] [Author ID1: at Wed Nov 11 11:52:00 1998
]z[Author ID1: at Wed Nov 11 11:51:00 1998
] [Author ID1: at Wed Nov 11 11:52:00 1998
] warunków [Author ID1: at Wed Nov 11 11:51:00 1998
] [Author ID1: at Wed Nov 11 11:52:00 1998
]początkowych[Author ID1: at Wed Nov 11 11:51:00 1998
] [Author ID1: at Wed Nov 11 11:52:00 1998
] i[Author ID1: at Wed Nov 11 11:51:00 1998
] [Author ID1: at Wed Nov 11 11:52:00 1998
] [Author ID1: at Wed Nov 11 11:52:00 1998
] [Author ID1: at Wed Nov 11 11:47:00 1998
] [Author ID1: at Wed Nov 11 11:56:00 1998
] [Author ID1: at Wed Nov 11 11:47:00 1998
]użyciem drugiego[Author ID1: at Wed Nov 11 11:47:00 1998
]pierwszego [Author ID1: at Wed Nov 11 11:47:00 1998
] prawa k[Author ID1: at Wed Nov 11 11:57:00 1998
]k[Author ID1: at Wed Nov 11 11:58:00 1998
]omutacji [ [Author ID1: at Wed Nov 11 11:57:00 1998
]U[Author ID1: at Sun Nov 8 12:31:00 1998
]C[Author ID1: at Wed Nov 11 11:47:00 1998
](0[Author ID1: at Wed Nov 11 11:57:00 1998
]-[Author ID1: at Wed Nov 11 11:57:00 1998
]) =[Author ID1: at Wed Nov 11 11:57:00 1998
] [Author ID1: at Wed Nov 11 11:48:00 1998
]U[Author ID1: at Sun Nov 8 12:31:00 1998
]C[Author ID1: at Wed Nov 11 11:48:00 1998
]([Author ID1: at Wed Nov 11 11:58:00 1998
]: i[Author ID1: at Wed Nov 11 11:57:00 1998
]L[Author ID1: at Wed Nov 11 11:57:00 1998
](0[Author ID1: at Wed Nov 11 11:57:00 1998
]-[Author ID1: at Wed Nov 11 11:57:00 1998
]) =i[Author ID1: at Wed Nov 11 11:57:00 1998
]L[Author ID1: at Wed Nov 11 12:01:00 1998
]([Author ID1: at Wed Nov 11 11:59:00 1998
]0+)][Author ID1: at Wed Nov 11 11:59:00 1998
][Author ID1: at Wed Nov 11 11:48:00 1998
]
gdzie:[Author ID1: at Wed Nov 11 11:48:00 1998
]przy czym:[Author ID1: at Wed Nov 11 11:48:00 1998
] [Author ID1: at Wed Nov 11 11:56:00 1998
] [Author ID1: at Wed Nov 11 11:59:00 1998
]i[Author ID1: at Wed Nov 11 11:56:00 1998
]L[Author ID1: at Wed Nov 11 11:56:00 1998
](0[Author ID1: at Wed Nov 11 11:56:00 1998
]-[Author ID1: at Wed Nov 11 11:56:00 1998
]) = 0 [A][Author ID1: at Wed Nov 11 11:56:00 1998
] [Author ID1: at Wed Nov 11 11:56:00 1998
]
U[Author ID1: at Sun Nov 8 12:30:00 1998
]C[Author ID1: at Wed Nov 11 11:49:00 1998
](0[Author ID1: at Wed Nov 11 11:56:00 1998
]-[Author ID1: at Wed Nov 11 11:56:00 1998
]) = 0 [[Author ID1: at Wed Nov 11 11:56:00 1998
]V[Author ID1: at Wed Nov 11 11:49:00 1998
]][Author ID1: at Wed Nov 11 11:56:00 1998
]
[Author ID1: at Wed Nov 11 12:47:00 1998
]; [Author ID1: at Wed Nov 11 12:48:00 1998
] [Author ID1: at Wed Nov 11 12:47:00 1998
][Author ID1: at Wed Nov 11 12:47:00 1998
][Author ID1: at Wed Nov 11 12:47:00 1998
][Author ID1: at Wed Nov 11 12:47:00 1998
]
[Author ID1: at Wed Nov 11 12:47:00 1998
][Author ID1: at Wed Nov 11 12:47:00 1998
][Author ID1: at Wed Nov 11 12:47:00 1998
]
możemy otrzymać szukany parametr A : [Author ID1: at Wed Nov 11 12:50:00 1998
][Author ID1: at Wed Nov 11 12:50:00 1998
]
[Author ID1: at Wed Nov 11 12:43:00 1998
][Author ID1: at Wed Nov 11 12:43:00 1998
]
[Author ID1: at Wed Nov 11 12:43:00 1998
][Author ID1: at Wed Nov 11 11:55:00 1998
]
A= - [Author ID1: at Wed Nov 11 12:43:00 1998
]E[Author ID1: at Wed Nov 11 12:42:00 1998
][Author ID1: at Wed Nov 11 12:43:00 1998
]
Prąd i[Author ID1: at Wed Nov 11 12:51:00 1998
]L[Author ID1: at Wed Nov 11 12:51:00 1998
]Napięcie [Author ID1: at Wed Nov 11 12:50:00 1998
]U[Author ID1: at Sun Nov 8 12:27:00 1998
]C[Author ID1: at Wed Nov 11 12:50:00 1998
](t) ma[Author ID1: at Sun Nov 8 12:28:00 1998
]ma[Author ID1: at Sun Nov 8 12:28:00 1998
] [Author ID1: at Sun Nov 8 12:27:00 1998
] [Author ID1: at Sun Nov 8 12:27:00 1998
]postać:
Dodatkowym parametrem tego obwodu jest stała czasowa :
[Author ID1: at Sun Nov 8 12:29:00 1998
] [Author ID1: at Wed Nov 11 12:03:00 1998
] [Author ID1: at Sun Nov 8 12:29:00 1998
][Author ID1: at Sun Nov 8 12:29:00 1998
]
= R[Author ID1: at Wed Nov 11 12:03:00 1998
]C[Author ID1: at Wed Nov 11 12:04:00 1998
][Author ID1: at Wed Nov 11 12:04:00 1998
][Author ID1: at Wed Nov 11 12:04:00 1998
]
[Author ID1: at Wed Nov 11 12:04:00 1998
]
która określa szybkość zmian prądu [Author ID1: at Wed Nov 11 12:06:00 1998
]napięci[Author ID1: at Wed Nov 11 12:05:00 1998
]a [Author ID1: at Wed Nov 11 12:06:00 1998
]U[Author ID1: at Sun Nov 8 12:29:00 1998
]i[Author ID1: at Sun Nov 8 12:29:00 1998
]L[Author ID1: at Wed Nov 11 12:05:00 1998
]C[Author ID1: at Wed Nov 11 12:05:00 1998
]p. [Author ID1: at Wed Nov 11 12:10:00 1998
][Author ID1: at Wed Nov 11 12:10:00 1998
]
DANE[Author ID1: at Wed Nov 11 12:07:00 1998
] obwodu R[Author ID1: at Wed Nov 11 12:07:00 1998
]C[Author ID1: at Wed Nov 11 12:06:00 1998
]:[Author ID1: at Wed Nov 11 12:07:00 1998
]
Obliczenia dla różnych wartości rezystancji:
E = 10V u(0[Author ID1: at Wed Nov 11 12:09:00 1998
]-[Author ID1: at Wed Nov 11 12:09:00 1998
])=0V C = 10[Author ID1: at Wed Nov 11 12:09:00 1998
][Author ID1: at Wed Nov 11 12:09:00 1998
]F[Author ID1: at Wed Nov 11 12:09:00 1998
][Author ID1: at Wed Nov 11 12:09:00 1998
]
R1 = 90[Author ID1: at Wed Nov 11 12:09:00 1998
]1[Author ID1: at Wed Nov 11 12:09:00 1998
]0 [Author ID1: at Wed Nov 11 12:17:00 1998
][[Author ID1: at Wed Nov 11 12:09:00 1998
][Author ID1: at Wed Nov 11 12:09:00 1998
]
2.) R2 = [Author ID1: at Wed Nov 11 12:17:00 1998
]2000[Author ID1: at Wed Nov 11 12:09:00 1998
]5[Author ID1: at Wed Nov 11 12:09:00 1998
] [Author ID1: at Wed Nov 11 12:17:00 1998
][[Author ID1: at Wed Nov 11 12:09:00 1998
][Author ID1: at Wed Nov 11 12:09:00 1998
]
3.) R3 = 300[Author ID1: at Wed Nov 11 12:11:00 1998
]2[Author ID1: at Wed Nov 11 12:11:00 1998
]0 [Author ID1: at Wed Nov 11 12:17:00 1998
][[Author ID1: at Wed Nov 11 12:11:00 1998
][Author ID1: at Wed Nov 11 12:11:00 1998
]
Dane pozostałe: [Author ID1: at Wed Nov 11 12:11:00 1998 ]E= 10 [V][Author ID1: at Wed Nov 11 12:12:00 1998 ] [Author ID1: at Wed Nov 11 12:13:00 1998 ] [Author ID1: at Wed Nov 11 12:17:00 1998 ]; [Author ID1: at Wed Nov 11 12:13:00 1998 ] [Author ID1: at Wed Nov 11 12:17:00 1998 ]L=0.15 [H][Author ID1: at Wed Nov 11 12:13:00 1998 ]-->[Author ID1: at Wed Nov 11 12:12:00 1998 ]
Wyniki:
Obliczenia dla zmienionych warunków początkowych:
E = 10V; [Author ID1: at Wed Nov 11 12:56:00 1998
] [Author ID1: at Wed Nov 11 12:56:00 1998
]u[Author ID1: at Wed Nov 11 12:54:00 1998
]i[Author ID1: at Wed Nov 11 12:54:00 1998
](0-)=0.[Author ID1: at Wed Nov 11 12:55:00 1998
]5 [A];[Author ID1: at Wed Nov 11 12:56:00 1998
]V[Author ID1: at Wed Nov 11 12:56:00 1998
] [Author ID1: at Wed Nov 11 12:56:00 1998
]C [Author ID1: at Wed Nov 11 12:53:00 1998
]L[Author ID1: at Wed Nov 11 12:53:00 1998
]= 10[Author ID1: at Wed Nov 11 12:53:00 1998
][Author ID1: at Wed Nov 11 12:53:00 1998
]F[Author ID1: at Wed Nov 11 12:53:00 1998
]0.15 [H][Author ID1: at Wed Nov 11 12:53:00 1998
]
W tym przypadku stała całkowania A (dla chwili t = 0)wynosi:
N[Author ID1: at Wed Nov 11 13:13:00 1998 ]a ch[Author ID1: at Wed Nov 11 13:13:00 1998 ]arakterystykach[Author ID1: at Wed Nov 11 13:14:00 1998 ] wyznaczone są graficznie stałe czasowe [Author ID1: at Wed Nov 11 13:14:00 1998 ] [Author ID1: at Wed Nov 11 13:13:00 1998 ]dla różnych rezystancji[Author ID1: at Wed Nov 11 13:17:00 1998 ].[Author ID1: at Wed Nov 11 13:16:00 1998 ]
Wnioski:
Z [Author ID1: at Thu Nov 12 00:46:00 1998 ]zależności analitycznych i przebiegu krzywyc[Author ID1: at Thu Nov 12 00:46:00 1998 ]h napięcia wynika ,że w chwili t=0[Author ID1: at Thu Nov 12 00:46:00 1998 ] [Author ID1: at Thu Nov 12 00:48:00 1998 ]napięcie na [Author ID1: at Thu Nov 12 00:48:00 1998 ] [Author ID1: at Thu Nov 12 00:49:00 1998 ]indukcyjności[Author ID1: at Thu Nov 12 00:48:00 1998 ] [Author ID1: at Thu Nov 12 00:49:00 1998 ]rośnie[Author ID1: at Thu Nov 12 00:48:00 1998 ] [Author ID1: at Thu Nov 12 00:49:00 1998 ]s[Author ID1: at Thu Nov 12 00:48:00 1998 ]kokowo [Author ID1: at Thu Nov 12 00:48:00 1998 ] [Author ID1: at Thu Nov 12 00:49:00 1998 ]od [Author ID1: at Thu Nov 12 00:48:00 1998 ] [Author ID1: at Thu Nov 12 00:49:00 1998 ]0[Author ID1: at Thu Nov 12 00:48:00 1998 ] [Author ID1: at Thu Nov 12 00:49:00 1998 ] do[Author ID1: at Thu Nov 12 00:48:00 1998 ] [Author ID1: at Thu Nov 12 00:49:00 1998 ]wartości [Author ID1: at Thu Nov 12 00:48:00 1998 ]E[Author ID1: at Thu Nov 12 00:49:00 1998 ] [Author ID1: at Thu Nov 12 00:49:00 1998 ].[Author ID1: at Thu Nov 12 00:50:00 1998 ] [Author ID1: at Thu Nov 12 00:50:00 1998 ]W miarę upływu czasu napięcie na indukcyjnośc[Author ID1: at Thu Nov 12 00:50:00 1998 ]i maleje , a napi[Author ID1: at Thu Nov 12 00:50:00 1998 ]ęci[Author ID1: at Thu Nov 12 00:51:00 1998 ]e[Author ID1: at Thu Nov 12 00:51:00 1998 ] [Author ID1: at Thu Nov 12 00:51:00 1998 ]n[Author ID1: at Thu Nov 12 00:51:00 1998 ]a re[Author ID1: at Thu Nov 12 00:51:00 1998 ]zystancji [Author ID1: at Thu Nov 12 00:51:00 1998 ] [Author ID1: at Thu Nov 12 00:51:00 1998 ]rośnie , su[Author ID1: at Thu Nov 12 00:53:00 1998 ]ma tych napięć w każdej chwili jest równa E.[Author ID0: at Thu Nov 30 00:00:00 1899 ]
-->Na wykresie przebiegu prądu jest widoczne zac[Author ID1: at Thu Nov 12 00:54:00 1998 ][Author ID1: at Thu Nov 12 00:46:00 1998 ]-->howani[Author ID1: at Thu Nov 12 00:54:00 1998 ][Author ID1: at Thu Nov 12 00:46:00 1998 ]-->e zasady ciągłości prądu w chwili komutacji.[Author ID1: at Thu Nov 12 00:56:00 1998 ][Author ID1: at Thu Nov 12 00:46:00 1998 ]--> [Author ID1: at Thu Nov 12 00:53:00 1998 ][Author ID1: at Thu Nov 12 00:46:00 1998 ]-->[Author ID0: at Thu Nov 30 00:00:00 1899 ]
-->Wpływ [Author ID1: at Thu Nov 12 01:28:00 1998 ][Author ID1: at Thu Nov 12 01:29:00 1998 ]-->rezystancji [Author ID1: at Thu Nov 12 01:28:00 1998 ][Author ID1: at Thu Nov 12 01:29:00 1998 ]-->R [Author ID1: at Thu Nov 12 01:29:00 1998 ][Author ID1: at Thu Nov 12 01:29:00 1998 ]-->na parametry obwodu[Author ID1: at Thu Nov 12 01:29:00 1998 ][Author ID1: at Thu Nov 12 01:29:00 1998 ]-->:[Author ID1: at Thu Nov 12 01:29:00 1998 ][Author ID1: at Thu Nov 12 01:29:00 1998 ]--> [Author ID1: at Thu Nov 12 01:29:00 1998 ][Author ID1: at Thu Nov 12 01:29:00 1998 ]-->[Author ID0: at Thu Nov 30 00:00:00 1899 ][Author ID0: at Thu Nov 30 00:00:00 1899 ]
Gdy [Author ID1: at Thu Nov 12 01:33:00 1998 ]z[Author ID1: at Thu Nov 12 01:33:00 1998 ]większa[Author ID1: at Thu Nov 12 01:30:00 1998 ]my[Author ID1: at Thu Nov 12 01:33:00 1998 ] wartoś[Author ID1: at Thu Nov 12 01:30:00 1998 ]ć rezystancji [Author ID1: at Thu Nov 12 01:30:00 1998 ]R[Author ID1: at Thu Nov 12 01:30:00 1998 ] [Author ID1: at Thu Nov 12 01:31:00 1998 ],[Author ID1: at Thu Nov 12 01:31:00 1998 ]to zmniejsza się czas po[Author ID1: at Thu Nov 12 01:33:00 1998 ] [Author ID1: at Thu Nov 12 01:34:00 1998 ]jakim[Author ID1: at Thu Nov 12 01:33:00 1998 ]-->[Author ID0: at Thu Nov 30 00:00:00 1899 ][Author ID0: at Thu Nov 30 00:00:00 1899 ]
pr[Author ID1: at Thu Nov 12 01:35:00 1998 ]ą[Author ID1: at Thu Nov 12 01:35:00 1998 ]d[Author ID1: at Thu Nov 12 01:35:00 1998 ] [Author ID1: at Thu Nov 12 01:35:00 1998 ]w [Author ID1: at Thu Nov 12 01:35:00 1998 ]o[Author ID1: at Thu Nov 12 01:35:00 1998 ]bwo[Author ID1: at Thu Nov 12 01:34:00 1998 ]d[Author ID1: at Thu Nov 12 01:34:00 1998 ]zie osiąg[Author ID1: at Thu Nov 12 01:35:00 1998 ]nie[Author ID1: at Thu Nov 12 01:35:00 1998 ] war[Author ID1: at Thu Nov 12 01:35:00 1998 ]tość ustaloną[Author ID1: at Thu Nov 12 01:36:00 1998 ] [Author ID1: at Thu Nov 12 01:37:00 1998 ]([Author ID1: at Thu Nov 12 01:36:00 1998 ]stała[Author ID1: at Thu Nov 12 01:36:00 1998 ] [Author ID1: at Thu Nov 12 01:36:00 1998 ]cz[Author ID1: at Thu Nov 12 01:36:00 1998 ]asowa [Author ID1: at Thu Nov 12 01:36:00 1998 ]-->maleje[Author ID1: at Thu Nov 12 01:36:00 1998 ][Author ID1: at Thu Nov 12 01:37:00 1998 ])[Author ID1: at Thu Nov 12 01:36:00 1998 ];[Author ID1: at Thu Nov 12 01:37:00 1998 ] [Author ID1: at Thu Nov 12 01:34:00 1998 ][Author ID0: at Thu Nov 30 00:00:00 1899 ]
P[Author ID1: at Thu Nov 12 01:38:00 1998 ]onadto[Author ID1: at Thu Nov 12 01:38:00 1998 ],[Author ID1: at Thu Nov 12 01:40:00 1998 ] [Author ID1: at Thu Nov 12 01:39:00 1998 ]przy wy[Author ID1: at Thu Nov 12 01:39:00 1998 ]ż[Author ID1: at Thu Nov 12 01:39:00 1998 ]szej[Author ID1: at Thu Nov 12 01:39:00 1998 ] rezystancji[Author ID1: at Thu Nov 12 01:40:00 1998 ] [Author ID1: at Thu Nov 12 01:39:00 1998 ]składow[Author ID1: at Thu Nov 12 01:39:00 1998 ]a [Author ID1: at Thu Nov 12 01:39:00 1998 ]wymuszona prądu ma mniejszą wartość.[Author ID1: at Thu Nov 12 01:40:00 1998 ][Author ID0: at Thu Nov 30 00:00:00 1899 ]
Wpływ niezerowego warunku początkowego dla pr[Author ID1: at Thu Nov 12 01:41:00 1998 ]zebiegu sygnału:[Author ID1: at Thu Nov 12 01:41:00 1998 ]-->[Author ID0: at Thu Nov 30 00:00:00 1899 ][Author ID0: at Thu Nov 30 00:00:00 1899 ]
Warunek początkowy i(0[Author ID1: at Thu Nov 12 09:01:00 1998 ]-[Author ID1: at Thu Nov 12 09:02:00 1998 ])[Author ID1: at Thu Nov 12 09:01:00 1998 ]=0.[Author ID1: at Thu Nov 12 09:02:00 1998 ]5 [[Author ID1: at Thu Nov 12 09:02:00 1998 ]A][Author ID1: at Thu Nov 12 09:02:00 1998 ] [Author ID1: at Thu Nov 12 09:04:00 1998 ]powoduje zmianę stałej całkowania A[Author ID1: at Thu Nov 12 09:04:00 1998 ][Author ID0: at Thu Nov 30 00:00:00 1899 ]
(A=-0.5)[Author ID1: at Thu Nov 12 09:06:00 1998 ] oraz przesunięcie charakterystyk[Author ID1: at Thu Nov 12 09:14:00 1998 ]i[Author ID1: at Thu Nov 12 09:46:00 1998 ] [Author ID1: at Thu Nov 12 09:06:00 1998 ](patrz rys 1[Author ID1: at Thu Nov 12 09:14:00 1998 ] [Author ID1: at Thu Nov 12 09:15:00 1998 ],[Author ID1: at Thu Nov 12 09:14:00 1998 ] [Author ID1: at Thu Nov 12 09:15:00 1998 ]4[Author ID1: at Thu Nov 12 09:14:00 1998 ]) o cz[Author ID1: at Thu Nov 12 09:15:00 1998 ]a[Author ID1: at Thu Nov 12 09:15:00 1998 ]s[Author ID1: at Thu Nov 12 09:15:00 1998 ] t[Author ID1: at Thu Nov 12 09:15:00 1998 ]x[Author ID1: at Thu Nov 12 09:15:00 1998 ] [Author ID1: at Thu Nov 12 09:16:00 1998 ], który mo[Author ID1: at Thu Nov 12 09:16:00 1998 ]żemy o[Author ID1: at Thu Nov 12 09:16:00 1998 ]bliczyć ze wzoru:[Author ID0: at Thu Nov 30 00:00:00 1899 ]
[Author ID1: at Thu Nov 12 09:17:00 1998
][Author ID1: at Thu Nov 12 09:17:00 1998
][Author ID1: at Thu Nov 12 09:17:00 1998
][Author ID1: at Thu Nov 12 09:17:00 1998
][Author ID1: at Thu Nov 12 09:17:00 1998
]
[Author ID1: at Thu Nov 12 09:17:00 1998
][Author ID0: at Thu Nov 30 00:00:00 1899
]
t[Author ID1: at Thu Nov 12 09:48:00 1998
][Author ID1: at Thu Nov 12 01:27:00 1998
]X[Author ID1: at Thu Nov 12 09:48:00 1998
][Author ID1: at Thu Nov 12 01:27:00 1998
]≈[Author ID1: at Thu Nov 12 09:48:00 1998
][Author ID1: at Thu Nov 12 01:27:00 1998
]6.5 [ms][Author ID1: at Thu Nov 12 09:50:00 1998
][Author ID1: at Thu Nov 12 01:27:00 1998
]Opis wpływu parametru[Author ID1: at Thu Nov 12 01:27:00 1998
] [Author ID1: at Thu Nov 12 01:27:00 1998
]C[Author ID1: at Thu Nov 12 01:27:00 1998
] na układ:[Author ID1: at Thu Nov 12 01:27:00 1998
][Author ID0: at Thu Nov 30 00:00:00 1899
]
Zamykając [Author ID1: at Thu Nov 12 01:27:00 1998
]w chwili t = 0[Author ID1: at Thu Nov 12 01:27:00 1998
] wyłącznik[Author ID1: at Thu Nov 12 01:27:00 1998
], włączamy napięcie [Author ID1: at Thu Nov 12 01:27:00 1998
]E do połączenia szeregowego elementów R[Author ID1: at Thu Nov 12 01:27:00 1998
]C[Author ID1: at Thu Nov 12 01:27:00 1998
], wskutek czego [Author ID1: at Thu Nov 12 01:27:00 1998
]k[Author ID1: at Thu Nov 12 01:27:00 1998
]o[Author ID1: at Thu Nov 12 01:27:00 1998
]n[Author ID1: at Thu Nov 12 01:27:00 1998
]d[Author ID1: at Thu Nov 12 01:27:00 1998
]e[Author ID1: at Thu Nov 12 01:27:00 1998
]n[Author ID1: at Thu Nov 12 01:27:00 1998
]s[Author ID1: at Thu Nov 12 01:27:00 1998
]a[Author ID1: at Thu Nov 12 01:27:00 1998
]t[Author ID1: at Thu Nov 12 01:27:00 1998
]o[Author ID1: at Thu Nov 12 01:27:00 1998
]r[Author ID1: at Thu Nov 12 01:27:00 1998
] [Author ID1: at Thu Nov 12 01:27:00 1998
]ł[Author ID1: at Thu Nov 12 01:27:00 1998
]a[Author ID1: at Thu Nov 12 01:27:00 1998
]d[Author ID1: at Thu Nov 12 01:27:00 1998
]u[Author ID1: at Thu Nov 12 01:27:00 1998
]j[Author ID1: at Thu Nov 12 01:27:00 1998
]e[Author ID1: at Thu Nov 12 01:27:00 1998
] [Author ID1: at Thu Nov 12 01:27:00 1998
]s[Author ID1: at Thu Nov 12 01:27:00 1998
]i[Author ID1: at Thu Nov 12 01:27:00 1998
]ę[Author ID1: at Thu Nov 12 01:27:00 1998
] [Author ID1: at Thu Nov 12 01:27:00 1998
]p[Author ID1: at Thu Nov 12 01:27:00 1998
]r[Author ID1: at Thu Nov 12 01:27:00 1998
]z[Author ID1: at Thu Nov 12 01:27:00 1998
]e[Author ID1: at Thu Nov 12 01:27:00 1998
]z[Author ID1: at Thu Nov 12 01:27:00 1998
] [Author ID1: at Thu Nov 12 01:27:00 1998
]r[Author ID1: at Thu Nov 12 01:27:00 1998
]e[Author ID1: at Thu Nov 12 01:27:00 1998
]z[Author ID1: at Thu Nov 12 01:27:00 1998
]y[Author ID1: at Thu Nov 12 01:27:00 1998
]s[Author ID1: at Thu Nov 12 01:27:00 1998
]t[Author ID1: at Thu Nov 12 01:27:00 1998
]o[Author ID1: at Thu Nov 12 01:27:00 1998
]r[Author ID1: at Thu Nov 12 01:27:00 1998
] [Author ID1: at Thu Nov 12 01:27:00 1998
]R[Author ID1: at Thu Nov 12 01:27:00 1998
].[Author ID1: at Thu Nov 12 01:27:00 1998
] [Author ID1: at Thu Nov 12 01:27:00 1998
]([Author ID1: at Thu Nov 12 01:27:00 1998
] [Author ID1: at Thu Nov 12 01:27:00 1998
]u[Author ID1: at Thu Nov 12 01:27:00 1998
]C[Author ID1: at Thu Nov 12 01:27:00 1998
]([Author ID1: at Thu Nov 12 01:27:00 1998
]0[Author ID1: at Thu Nov 12 01:27:00 1998
]-[Author ID1: at Thu Nov 12 01:27:00 1998
])[Author ID1: at Thu Nov 12 01:27:00 1998
] [Author ID1: at Thu Nov 12 01:27:00 1998
]=[Author ID1: at Thu Nov 12 01:27:00 1998
] [Author ID1: at Thu Nov 12 01:27:00 1998
]u[Author ID1: at Thu Nov 12 01:27:00 1998
]C[Author ID1: at Thu Nov 12 01:27:00 1998
]([Author ID1: at Thu Nov 12 01:27:00 1998
]0[Author ID1: at Thu Nov 12 01:27:00 1998
]+[Author ID1: at Thu Nov 12 01:27:00 1998
])[Author ID1: at Thu Nov 12 01:27:00 1998
] [Author ID1: at Thu Nov 12 01:27:00 1998
])[Author ID1: at Thu Nov 12 01:27:00 1998
][Author ID0: at Thu Nov 30 00:00:00 1899
]
Po upływie dostatecznie długiego czasu od chwili t = 0 kondensator naładuje się do napięcia E i wówczas prąd I w układzie będzie równy [Author ID1: at Thu Nov 12 00:43:00 1998
]0 ([Author ID1: at Thu Nov 12 00:43:00 1998
]zero[Author ID1: at Thu Nov 12 00:43:00 1998
])[Author ID1: at Thu Nov 12 00:43:00 1998
].[Author ID0: at Thu Nov 30 00:00:00 1899
]
Opis wpływu parametru R na układ:[Author ID0: at Thu Nov 30 00:00:00 1899
]
Zwiększając wartość rezystancji w obwodzie zwiększamy również stałą czasową [Author ID1: at Thu Nov 12 01:27:00 1998
][Author ID1: at Thu Nov 12 01:27:00 1998
]. Gdy zwiększa się stała czasowa to zmniejsza się wartość prądu w obwodzie, a tym samym wydłuża się czas ustalenia wartości napięcia na kondensatorze. [Author ID0: at Thu Nov 30 00:00:00 1899
]
Opis wpływu zmiany warunków początkowych napięcia :[Author ID1: at Thu Nov 12 01:27:00 1998
][Author ID0: at Thu Nov 30 00:00:00 1899
]
[Author ID1: at Thu Nov 12 01:27:00 1998
] Warunek początkowy u(0[Author ID1: at Thu Nov 12 01:27:00 1998
]-[Author ID1: at Thu Nov 12 01:27:00 1998
]) = 5V powoduje skrócenie czasu ustalenia się napięcia na kondensatorze o czas t[Author ID1: at Thu Nov 12 01:27:00 1998
]x[Author ID1: at Thu Nov 12 01:27:00 1998
], który można obliczyć z poniższego wzoru:[Author ID0: at Thu Nov 30 00:00:00 1899
]
[Author ID1: at Thu Nov 12 08:59:00 1998
][Author ID1: at Thu Nov 12 08:59:00 1998
][Author ID1: at Thu Nov 12 08:59:00 1998
]
[Author ID1: at Thu Nov 12 08:59:00 1998
][Author ID1: at Thu Nov 12 08:59:00 1998
][Author ID1: at Thu Nov 12 08:59:00 1998
][Author ID1: at Thu Nov 12 08:59:00 1998
]
[Author ID1: at Thu Nov 12 08:59:00 1998
][Author ID0: at Thu Nov 30 00:00:00 1899
]
1
Sygnały i układy - LABORATORIUM
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