Nizielski Robert Piskur Marek Ordon Rafał |
ED II L 01 |
SPRAWOZDANIE nr 1
Temat:
[Author ID1: at Sun Nov 8 11:24:00 1998
]Sygnały w obwodzie RC[Author ID1: at Sun Nov 8 11:24:00 1998
]L[Author ID1: at Sun Nov 8 11:24:00 1998
] - wymuszenie skokowe[Author ID1: at Sun Nov 8 11:23:00 1998
]inusoidalne[Author ID1: at Sun Nov 8 11:23:00 1998
] [Author ID1: at Sun Nov 8 11:24:00 1998
].
[Author ID1: at Sun Nov 8 17:12:00 1998
]Schemat pomiarowy:
Równania charakterystyczne układu (po zamknięciu klucza):
[Author ID1: at Sun Nov 8 11:51:00 1998
] [Author ID1: at Sun Nov 8 11:49:00 1998
] [Author ID1: at Sun Nov 8 11:48:00 1998
] [Author ID1: at Sun Nov 8 11:51:00 1998
][Author ID1: at Sun Nov 8 11:51:00 1998
][Author ID1: at Sun Nov 8 11:51:00 1998
]
[Author ID1: at Sun Nov 8 11:51:00 1998
]
[Author ID1: at Sun Nov 8 11:51:00 1998
][Author ID1: at Sun Nov 8 11:49:00 1998
][Author ID1: at Sun Nov 8 11:49:00 1998
]
[Author ID1: at Sun Nov 8 11:49:00 1998
]
dla wymuszenia napięciem stałym E[Author ID1: at Sun Nov 8 11:52:00 1998
]sinusoidalnym e(t)[Author ID1: at Sun Nov 8 11:52:00 1998
] mamy równanie obwodu w postaci: [Author ID1: at Sun Nov 8 13:43:00 1998
][Author ID1: at Sun Nov 8 13:43:00 1998
]
e(t) [Author ID1: at Sun Nov 8 11:53:00 1998
]E [Author ID1: at Sun Nov 8 11:53:00 1998
]= U[Author ID1: at Sun Nov 8 13:46:00 1998
]u[Author ID1: at Sun Nov 8 13:46:00 1998
]R(t) + U[Author ID1: at Sun Nov 8 13:46:00 1998
]u[Author ID1: at Sun Nov 8 13:46:00 1998
]C(t),
czyli po podstawieniu spadków napięć na poszczególnych elementach do powyższego wzoru otrzymamy równanie różniczkowe I rzędu:
- równanie uzależnimy od napięcia na[Author ID1: at Sun Nov 8 11:58:00 1998
] kondensatorze[Author ID1: at Sun Nov 8 11:56:00 1998
], czyli:[Author ID1: at Sun Nov 8 11:58:00 1998
]
[Author ID1: at Sun Nov 8 11:58:00 1998
][Author ID1: at Sun Nov 8 11:58:00 1998
][Author ID1: at Sun Nov 8 11:58:00 1998
]
[Author ID1: at Sun Nov 8 11:58:00 1998
]
Równanie ma postać: [Author ID1: at Sun Nov 8 11:58:00 1998
]
, czyli[Author ID1: at Sun Nov 8 20:25:00 1998
]
Prąd[Author ID1: at Sun Nov 8 12:03:00 1998
] w obwodzi[Author ID1: at Sun Nov 8 12:11:00 1998
]e jest równy:[Author ID1: at Sun Nov 8 12:11:00 1998
] [Author ID1: at Sun Nov 8 12:12:00 1998
]i(t) = i[Author ID1: at Sun Nov 8 12:12:00 1998
]w[Author ID1: at Sun Nov 8 13:48:00 1998
] + i[Author ID1: at Sun Nov 8 13:49:00 1998
]s[Author ID1: at Sun Nov 8 13:49:00 1998
] [Author ID1: at Sun Nov 8 12:11:00 1998
]napięcie na kondensatorze: [Author ID1: at Sun Nov 8 12:02:00 1998
]U[Author ID1: at Sun Nov 8 12:02:00 1998
]C[Author ID1: at Sun Nov 8 12:02:00 1998
] = U[Author ID1: at Sun Nov 8 12:02:00 1998
]Custalona[Author ID1: at Sun Nov 8 12:02:00 1998
] + U[Author ID1: at Sun Nov 8 12:02:00 1998
]Cprzejściowa[Author ID1: at Sun Nov 8 12:02:00 1998
]
gdzie:[Author ID1: at Sun Nov 8 13:55:00 1998
]1. Składowa wymuszona określona jest następującym wzorem[Author ID1: at Sun Nov 8 13:54:00 1998
]
[Author ID1: at Sun Nov 8 13:50:00 1998
][Author ID1: at Sun Nov 8 13:50:00 1998
]
[Author ID1: at Sun Nov 8 13:50:00 1998
][Author ID1: at Sun Nov 8 13:55:00 1998
]
-->gdzie[Author ID1: at Sun Nov 8 13:55:00 1998 ][Author ID1: at Sun Nov 8 13:55:00 1998 ]:[Author ID1: at Sun Nov 8 13:55:00 1998 ]
[Author ID1: at Sun Nov 8 13:56:00 1998
][Author ID1: at Sun Nov 8 13:56:00 1998
]
[Author ID1: at Sun Nov 8 13:56:00 1998
][Author ID1: at Sun Nov 8 13:57:00 1998
]
[Author ID1: at Sun Nov 8 13:57:00 1998
][Author ID1: at Sun Nov 8 13:57:00 1998
]
[Author ID1: at Sun Nov 8 13:57:00 1998
]-->U[Author ID1: at Sun Nov 8 13:52:00 1998
][Author ID1: at Sun Nov 8 13:55:00 1998
]-->Cu [Author ID1: at Sun Nov 8 13:52:00 1998
][Author ID1: at Sun Nov 8 13:55:00 1998
]--> = E[Author ID1: at Sun Nov 8 13:52:00 1998
][Author ID1: at Sun Nov 8 13:55:00 1998
]-->[Author ID1: at Sun Nov 8 13:55:00 1998
]
2.[Author ID1: at Sun Nov 8 13:58:00 1998
] [Author ID1: at Sun Nov 8 14:02:00 1998
]Składową swobodną [Author ID1: at Sun Nov 8 13:59:00 1998
]przejściową napięcia [Author ID1: at Sun Nov 8 13:58:00 1998
]obliczamy z równania charakterystycznego[Author ID1: at Sun Nov 8 13:59:00 1998
] jednorodnego[Author ID1: at Sun Nov 8 13:59:00 1998
]:
[Author ID1: at Sun Nov 8 14:00:00 1998
][Author ID1: at Sun Nov 8 14:00:00 1998
][Author ID1: at Sun Nov 8 14:00:00 1998
]-->
[Author ID1: at Sun Nov 8 14:00:00 1998
][Author ID1: at Sun Nov 8 14:01:00 1998
][Author ID1: at Sun Nov 8 14:01:00 1998
]
[Author ID1: at Sun Nov 8 14:01:00 1998
]
R[Author ID1: at Sun Nov 8 14:04:00 1998
]podstawiając za u[Author ID1: at Sun Nov 8 14:03:00 1998
]Cp[Author ID1: at Sun Nov 8 14:03:00 1998
](t) = Ae[Author ID1: at Sun Nov 8 14:03:00 1998
]st[Author ID1: at Sun Nov 8 14:03:00 1998
] i jednocześnie różniczkując powyższe równanie otrzymamy: [Author ID1: at Sun Nov 8 14:03:00 1998
]
[Author ID1: at Sun Nov 8 14:03:00 1998
][Author ID1: at Sun Nov 8 14:03:00 1998
][Author ID1: at Sun Nov 8 14:03:00 1998
]
[Author ID1: at Sun Nov 8 14:03:00 1998
][Author ID1: at Sun Nov 8 14:03:00 1998
]
z którego wynika, że: [Author ID1: at Sun Nov 8 14:03:00 1998
]
[Author ID1: at Sun Nov 8 14:03:00 1998
][Author ID1: at Sun Nov 8 14:03:00 1998
][Author ID1: at Sun Nov 8 14:03:00 1998
]
[Author ID1: at Sun Nov 8 14:03:00 1998
][Author ID1: at Sun Nov 8 14:03:00 1998
]
[Author ID1: at Sun Nov 8 14:03:00 1998
][Author ID1: at Sun Nov 8 14:03:00 1998
][Author ID1: at Sun Nov 8 14:03:00 1998
]
[Author ID1: at Sun Nov 8 14:03:00 1998
][Author ID1: at Sun Nov 8 14:03:00 1998
]
ozwiązaniem [Author ID1: at Sun Nov 8 14:03:00 1998 ]powyższego równania jest [Author ID1: at Sun Nov 8 14:04:00 1998 ]wzór na składową swo[Author ID1: at Sun Nov 8 14:05:00 1998 ]b[Author ID1: at Sun Nov 8 14:06:00 1998 ]odną [Author ID1: at Sun Nov 8 14:05:00 1998 ]prądu w obwodzie[Author ID1: at Sun Nov 8 14:06:00 1998 ]:[Author ID1: at Sun Nov 8 14:07:00 1998 ]
[Author ID1: at Sun Nov 8 14:07:00 1998
][Author ID1: at Sun Nov 8 14:07:00 1998
]
[Author ID1: at Sun Nov 8 14:07:00 1998
][Author ID1: at Sun Nov 8 14:15:00 1998
]
P[Author ID1: at Sun Nov 8 14:41:00 1998
]rąd w obwodzie wyraża się zależnością:[Author ID1: at Sun Nov 8 14:16:00 1998
]Z użyciem drugiego prawa komutacji [ U[Author ID1: at Sun Nov 8 14:10:00 1998
]C[Author ID1: at Sun Nov 8 14:10:00 1998
](0[Author ID1: at Sun Nov 8 14:10:00 1998
]-[Author ID1: at Sun Nov 8 14:10:00 1998
]) [Author ID1: at Sun Nov 8 14:10:00 1998
]= U[Author ID1: at Sun Nov 8 14:10:00 1998
]C[Author ID1: at Sun Nov 8 14:10:00 1998
](0[Author ID1: at Sun Nov 8 14:10:00 1998
]+[Author ID1: at Sun Nov 8 14:10:00 1998
])][Author ID1: at Sun Nov 8 14:10:00 1998
]
U[Author ID1: at Sun Nov 8 14:10:00 1998
]C[Author ID1: at Sun Nov 8 14:10:00 1998
](0[Author ID1: at Sun Nov 8 14:10:00 1998
]-[Author ID1: at Sun Nov 8 14:10:00 1998
]) = 0 [V][Author ID1: at Sun Nov 8 14:10:00 1998
]
[Author ID1: at Sun Nov 8 14:10:00 1998
][Author ID1: at Sun Nov 8 14:10:00 1998
][Author ID1: at Sun Nov 8 14:10:00 1998
]
[Author ID1: at Sun Nov 8 14:10:00 1998
][Author ID1: at Sun Nov 8 14:10:00 1998
]
możemy otrzymać szukany parametr A :[Author ID0: at Thu Nov 30 00:00:00 1899
]
Napięcie U[Author ID1: at Sun Nov 8 14:10:00 1998
]C[Author ID1: at Sun Nov 8 14:10:00 1998
](t) ma postać:[Author ID1: at Sun Nov 8 14:10:00 1998
]
[Author ID1: at Sun Nov 8 14:10:00 1998
][Author ID1: at Sun Nov 8 14:10:00 1998
][Author ID1: at Sun Nov 8 14:10:00 1998
]
[Author ID1: at Sun Nov 8 14:10:00 1998
][Author ID1: at Sun Nov 8 14:10:00 1998
]
[Author ID1: at Sun Nov 8 14:17:00 1998
][Author ID1: at Sun Nov 8 14:17:00 1998
]
[Author ID1: at Sun Nov 8 14:17:00 1998
][Author ID1: at Sun Nov 8 14:23:00 1998
]
Z użyciem pierwszego prawa komutacji[Author ID1: at Sun Nov 8 14:24:00 1998 ] [[Author ID1: at Sun Nov 8 14:26:00 1998 ] [Author ID1: at Sun Nov 8 14:27:00 1998 ]i(0[Author ID1: at Sun Nov 8 14:26:00 1998 ]-[Author ID1: at Sun Nov 8 14:26:00 1998 ]) = i(0[Author ID1: at Sun Nov 8 14:27:00 1998 ]+[Author ID1: at Sun Nov 8 14:27:00 1998 ]) ][Author ID1: at Sun Nov 8 14:27:00 1998 ][Author ID0: at Thu Nov 30 00:00:00 1899 ]
[Author ID1: at Sun Nov 8 14:28:00 1998
][Author ID1: at Sun Nov 8 14:28:00 1998
][Author ID1: at Sun Nov 8 14:28:00 1998
]
[Author ID1: at Sun Nov 8 14:28:00 1998
][Author ID1: at Sun Nov 8 14:30:00 1998
]
[Author ID1: at Sun Nov 8 14:31:00 1998
][Author ID1: at Sun Nov 8 14:31:00 1998
]
[Author ID1: at Sun Nov 8 14:31:00 1998
][Author ID1: at Sun Nov 8 14:41:00 1998
]
-->możemy ot[Author ID1: at Sun Nov 8 14:41:00 1998 ][Author ID1: at Sun Nov 8 14:42:00 1998 ]-->rzymać parametr A:[Author ID1: at Sun Nov 8 14:42:00 1998 ][Author ID1: at Sun Nov 8 14:42:00 1998 ][Author ID1: at Sun Nov 8 14:42:00 1998 ]
[Author ID1: at Sun Nov 8 14:42:00 1998
][Author ID1: at Sun Nov 8 14:42:00 1998
]
[Author ID1: at Sun Nov 8 14:42:00 1998
]-->[Author ID1: at Sun Nov 8 14:36:00 1998
][Author ID1: at Sun Nov 8 14:42:00 1998
]
-->Ostatecznie prąd w obwo[Author ID1: at Sun Nov 8 14:36:00 1998 ][Author ID1: at Sun Nov 8 14:37:00 1998 ]-->dzie wyraża się zależnością:[Author ID1: at Sun Nov 8 14:37:00 1998 ][Author ID1: at Sun Nov 8 14:37:00 1998 ][Author ID1: at Sun Nov 8 14:43:00 1998 ]
[Author ID1: at Sun Nov 8 15:44:00 1998
][Author ID1: at Sun Nov 8 15:44:00 1998
]
[Author ID1: at Sun Nov 8 15:44:00 1998
]-->[Author ID1: at Sun Nov 8 14:37:00 1998
]
Dodatkowym parametrem tego obwodu jest stała czasowa [Author ID1: at Sun Nov 8 15:30:00 1998
] [Author ID1: at Sun Nov 8 15:30:00 1998
][Author ID1: at Sun Nov 8 15:30:00 1998
]:[Author ID1: at Sun Nov 8 15:31:00 1998
]
[Author ID1: at Sun Nov 8 15:31:00 1998
][Author ID1: at Sun Nov 8 15:31:00 1998
][Author ID1: at Sun Nov 8 15:31:00 1998
][Author ID1: at Sun Nov 8 15:31:00 1998
]
[Author ID1: at Sun Nov 8 15:31:00 1998
][Author ID1: at Sun Nov 8 15:31:00 1998
]
która określa szybkość zmian[Author ID1: at Sun Nov 8 15:35:00 1998
]ustalania się [Author ID1: at Sun Nov 8 15:35:00 1998
] napięcia [Author ID1: at Sun Nov 8 15:32:00 1998
]sinusoidalnego[Author ID1: at Sun Nov 8 15:36:00 1998
] [Author ID1: at Sun Nov 8 15:35:00 1998
]na [Author ID1: at Sun Nov 8 15:34:00 1998
]u[Author ID1: at Sun Nov 8 15:32:00 1998
]L[Author ID1: at Sun Nov 8 15:33:00 1998
] U[Author ID1: at Sun Nov 8 15:32:00 1998
]Cp[Author ID1: at Sun Nov 8 15:32:00 1998
].
Obliczenia dla różnych wartości rezystancji[Author ID1: at Sun Nov 8 15:37:00 1998
]przesunięcia fazowego[Author ID1: at Sun Nov 8 15:37:00 1998
]:
E = 10V u[Author ID1: at Sun Nov 8 20:37:00 1998
]i[Author ID1: at Sun Nov 8 20:37:00 1998
](0-) [Author ID1: at Sun Nov 8 15:49:00 1998
]= [Author ID1: at Sun Nov 8 15:49:00 1998
]0V[Author ID1: at Sun Nov 8 20:38:00 1998
]A[Author ID1: at Sun Nov 8 20:38:00 1998
] C[Author ID1: at Sun Nov 8 15:47:00 1998
]L[Author ID1: at Sun Nov 8 15:47:00 1998
] = 0.[Author ID1: at Sun Nov 8 15:47:00 1998
]10F[Author ID1: at Sun Nov 8 15:47:00 1998
]H R = 8[Author ID1: at Sun Nov 8 15:47:00 1998
] [Author ID1: at Sun Nov 8 15:49:00 1998
] [Author ID1: at Sun Nov 8 17:34:00 1998
] = 100 rad/s[Author ID1: at Sun Nov 8 17:34:00 1998
]
1. [Author ID1: at Sun Nov 8 15:52:00 1998 ] [Author ID1: at Sun Nov 8 15:52:00 1998 ][Author ID1: at Sun Nov 8 15:52:00 1998 ]
R[Author ID1: at Sun Nov 8 15:51:00 1998 ]1[Author ID1: at Sun Nov 8 15:51:00 1998 ]= 900 [Author ID1: at Sun Nov 8 15:51:00 1998 ]
2.) R[Author ID1: at Sun Nov 8 15:52:00 1998
]2[Author ID1: at Sun Nov 8 15:52:00 1998
] = 2000 [Author ID1: at Sun Nov 8 15:52:00 1998
]
2. [Author ID1: at Sun Nov 8 15:52:00 1998
] [Author ID1: at Sun Nov 8 15:53:00 1998
]= 30[Author ID1: at Sun Nov 8 15:53:00 1998
]0[Author ID1: at Sun Nov 8 17:15:00 1998
]3.) R[Author ID1: at Sun Nov 8 15:52:00 1998
]3[Author ID1: at Sun Nov 8 15:52:00 1998
] = 3000 [Author ID1: at Sun Nov 8 15:52:00 1998
]
Wyniki:
Obliczenia dla różnych wartości [Author ID1: at Sun Nov 8 17:17:00 1998 ]indukcji[Author ID1: at Sun Nov 8 17:18:00 1998 ]:[Author ID1: at Sun Nov 8 17:17:00 1998 ]
E = 10V [Author ID1: at Sun Nov 8 17:18:00 1998 ]i[Author ID1: at Sun Nov 8 20:37:00 1998 ](0[Author ID1: at Sun Nov 8 17:18:00 1998 ]-[Author ID1: at Sun Nov 8 17:18:00 1998 ]) = 0[Author ID1: at Sun Nov 8 17:18:00 1998 ]A[Author ID1: at Sun Nov 8 20:38:00 1998 ] [Author ID1: at Sun Nov 8 17:18:00 1998 ] [Author ID1: at Sun Nov 8 17:20:00 1998 ] R = 8[Author ID1: at Sun Nov 8 17:18:00 1998 ] [Author ID1: at Sun Nov 8 17:18:00 1998 ] [Author ID1: at Sun Nov 8 17:19:00 1998 ] [Author ID1: at Sun Nov 8 17:20:00 1998 ]= 30[Author ID1: at Sun Nov 8 17:19:00 1998 ]0[Author ID1: at Sun Nov 8 17:19:00 1998 ] [Author ID1: at Sun Nov 8 17:33:00 1998 ][Author ID1: at Sun Nov 8 17:33:00 1998 ] = 100 rad/s[Author ID1: at Sun Nov 8 17:33:00 1998 ]-->[Author ID1: at Sun Nov 8 17:18:00 1998 ][Author ID1: at Sun Nov 8 17:33:00 1998 ]
1.[Author ID1: at Sun Nov 8 17:21:00 1998 ] L = 0.1H[Author ID1: at Sun Nov 8 17:22:00 1998 ] [Author ID1: at Sun Nov 8 17:21:00 1998 ]
2.[Author ID1: at Sun Nov 8 17:21:00 1998 ] L = 0.2H[Author ID1: at Sun Nov 8 17:22:00 1998 ][Author ID1: at Sun Nov 8 17:17:00 1998 ]
Obliczenia dla zmienionej wartoś[Author ID1: at Sun Nov 8 20:34:00 1998 ]c[Author ID1: at Sun Nov 8 20:35:00 1998 ]i[Author ID1: at Sun Nov 8 20:34:00 1998 ] poc[Author ID1: at Sun Nov 8 20:34:00 1998 ]z[Author ID1: at Sun Nov 8 20:35:00 1998 ]ątkowej[Author ID1: at Sun Nov 8 20:34:00 1998 ] prądu i(0[Author ID1: at Sun Nov 8 20:35:00 1998 ]-[Author ID1: at Sun Nov 8 20:35:00 1998 ])[Author ID1: at Sun Nov 8 20:35:00 1998 ]:[Author ID1: at Sun Nov 8 20:34:00 1998 ][Author ID1: at Sun Nov 8 17:17:00 1998 ]
Obliczenia[Author ID1: at Sun Nov 8 20:38:00 1998
] dla zmienionych warunków początkowych:[Author ID1: at Sun Nov 8 20:38:00 1998
]
E = 10V u[Author ID1: at Sun Nov 8 17:34:00 1998
]i[Author ID1: at Sun Nov 8 17:34:00 1998
](0-) [Author ID1: at Sun Nov 8 17:36:00 1998
]= [Author ID1: at Sun Nov 8 17:36:00 1998
]5V[Author ID1: at Sun Nov 8 17:36:00 1998
]2A[Author ID1: at Sun Nov 8 17:36:00 1998
] L = 0.1H [Author ID1: at Sun Nov 8 20:39:00 1998
] [Author ID1: at Sun Nov 8 17:36:00 1998
] [Author ID1: at Sun Nov 8 17:36:00 1998
]R = 8[Author ID1: at Sun Nov 8 17:35:00 1998
] [Author ID1: at Sun Nov 8 17:35:00 1998
] [Author ID1: at Sun Nov 8 20:39:00 1998
] [Author ID1: at Sun Nov 8 17:35:00 1998
]= 30[Author ID1: at Sun Nov 8 17:35:00 1998
]0 [Author ID1: at Sun Nov 8 17:35:00 1998
][Author ID1: at Sun Nov 8 17:35:00 1998
] = 100 rad/s[Author ID1: at Sun Nov 8 17:35:00 1998
] [Author ID0: at Thu Nov 30 00:00:00 1899
]
Wyniki:[Author ID1: at Sun Nov 8 20:42:00 1998
]C[Author ID1: at Sun Nov 8 17:34:00 1998
] = 10F[Author ID1: at Sun Nov 8 17:35:00 1998
]
W tym przypadku stała całkowania A (dla chwili t = 0)wynosi:[Author ID1: at Sun Nov 8 20:40:00 1998
]
[Author ID1: at Sun Nov 8 20:40:00 1998
][Author ID1: at Sun Nov 8 20:40:00 1998
][Author ID1: at Sun Nov 8 20:40:00 1998
][Author ID1: at Sun Nov 8 20:40:00 1998
]
[Author ID1: at Sun Nov 8 20:40:00 1998
][Author ID1: at Sun Nov 8 20:40:00 1998
][Author ID1: at Sun Nov 8 20:40:00 1998
]
[Author ID1: at Sun Nov 8 20:40:00 1998
]
Wnioski:
Opis wpływu parametru R i[Author ID1: at Mon Nov 9 10:34:00 1998
] C[Author ID1: at Mon Nov 9 10:30:00 1998
]L[Author ID1: at Mon Nov 9 10:30:00 1998
] na przebiegi napięć[Author ID1: at Mon Nov 9 10:34:00 1998
]układ[Author ID1: at Mon Nov 9 10:35:00 1998
]:
J[Author ID1: at Mon Nov 9 11:05:00 1998 ]eżeli [Author ID1: at Mon Nov 9 11:04:00 1998 ]zaczynamy zwiększać wartość rezystancji w obwodzie to:[Author ID1: at Mon Nov 9 11:05:00 1998 ]
N[Author ID1: at Mon Nov 9 11:10:00 1998 ]apięcie na rezystorze dąży do zrównania[Author ID1: at Mon Nov 9 11:06:00 1998 ] się[Author ID1: at Mon Nov 9 11:16:00 1998 ] w fazie z napięciem [Author ID1: at Mon Nov 9 11:06:00 1998 ] [Author ID1: at Mon Nov 9 11:15:00 1998 ] [Author ID1: at Mon Nov 9 11:30:00 1998 ][Author ID1: at Mon Nov 9 11:06:00 1998 ]
z[Author ID1: at Mon Nov 9 11:31:00 1998 ]asilającym, także zwiększa się amplituda tego napięcia[Author ID1: at Mon Nov 9 11:06:00 1998 ].[Author ID1: at Mon Nov 9 11:10:00 1998 ] [Author ID1: at Mon Nov 9 11:06:00 1998 ]Z[Author ID1: at Mon Nov 9 11:10:00 1998 ]wiązane [Author ID1: at Mon Nov 9 11:06:00 1998 ] [Author ID1: at Mon Nov 9 11:31:00 1998 ][Author ID1: at Mon Nov 9 11:06:00 1998 ]
j[Author ID1: at Mon Nov 9 11:31:00 1998 ]est to ze spadkiem wartości stałej czasowej [Author ID1: at Mon Nov 9 11:06:00 1998 ]a co za tym idzie [Author ID1: at Mon Nov 9 11:06:00 1998 ] [Author ID0: at Thu Nov 30 00:00:00 1899 ]
[Author ID1: at Mon Nov 9 11:32:00 1998 ]szybsze dojście obwodu do wartości ustalonej[Author ID1: at Mon Nov 9 11:06:00 1998 ].[Author ID1: at Mon Nov 9 11:15:00 1998 ][Author ID0: at Thu Nov 30 00:00:00 1899 ]
Amplituda napięcia na cewce zmniejsza [Author ID1: at Mon Nov 9 11:10:00 1998 ]się [Author ID1: at Mon Nov 9 11:14:00 1998 ]dążąc do war[Author ID1: at Mon Nov 9 11:10:00 1998 ]t[Author ID1: at Mon Nov 9 11:12:00 1998 ]ości [Author ID1: at Mon Nov 9 11:10:00 1998 ] [Author ID1: at Mon Nov 9 11:15:00 1998 ] [Author ID0: at Thu Nov 30 00:00:00 1899 ]
[Author ID1: at Mon Nov 9 11:32:00 1998 ]zerowej[Author ID1: at Mon Nov 9 11:12:00 1998 ].[Author ID1: at Mon Nov 9 11:15:00 1998 ][Author ID0: at Thu Nov 30 00:00:00 1899 ]
Jeżeli zaczniemy zwiększać wartość [Author ID1: at Mon Nov 9 11:13:00 1998 ]indukcji [Author ID1: at Mon Nov 9 11:14:00 1998 ]w obwodzie to:[Author ID1: at Mon Nov 9 11:13:00 1998 ][Author ID0: at Thu Nov 30 00:00:00 1899 ]
Amplituda napięcia rezystorze zmniejsza [Author ID1: at Mon Nov 9 11:14:00 1998 ]się [Author ID1: at Mon Nov 9 11:15:00 1998 ]dążąc do wartości [Author ID1: at Mon Nov 9 11:14:00 1998 ] [Author ID0: at Thu Nov 30 00:00:00 1899 ]
[Author ID1: at Mon Nov 9 11:33:00 1998 ]zerowej[Author ID1: at Mon Nov 9 11:14:00 1998 ].[Author ID1: at Mon Nov 9 11:15:00 1998 ]
Napięcie na cewce dąży do zrównania się w fazie z napięciem [Author ID1: at Mon Nov 9 11:16:00 1998 ] [Author ID0: at Thu Nov 30 00:00:00 1899 ]
[Author ID1: at Mon Nov 9 11:33:00 1998 ]zasilającym, także zwiększa się amplituda tego napięcia.[Author ID1: at Mon Nov 9 11:16:00 1998 ] W tym [Author ID1: at Mon Nov 9 11:17:00 1998 ][Author ID0: at Thu Nov 30 00:00:00 1899 ]
[Author ID1: at Mon Nov 9 11:33:00 1998 ]przypadku stała czasowa rośnie a co za tym idzie zwiększa się czas [Author ID1: at Mon Nov 9 11:17:00 1998 ][Author ID0: at Thu Nov 30 00:00:00 1899 ]
[Author ID1: at Mon Nov 9 11:33:00 1998 ]dojścia[Author ID1: at Mon Nov 9 11:17:00 1998 ] układu do stanu ustalonego.[Author ID1: at Mon Nov 9 11:18:00 1998 ][Author ID1: at Mon Nov 9 11:14:00 1998 ]
Zamykając w chwili t = 0 wyłącznik, włączamy napięcie[Author ID1: at Mon Nov 9 10:32:00 1998 ]E[Author ID1: at Mon Nov 9 10:31:00 1998 ]do połączenia szeregowego elementów R[Author ID1: at Mon Nov 9 10:32:00 1998 ]C[Author ID1: at Mon Nov 9 10:31:00 1998 ], wskutek czego kondensator ładuje się przez rezystor R. ( u[Author ID1: at Mon Nov 9 10:32:00 1998 ]C[Author ID1: at Mon Nov 9 10:32:00 1998 ](0[Author ID1: at Mon Nov 9 10:32:00 1998 ]-[Author ID1: at Mon Nov 9 10:32:00 1998 ]) = u[Author ID1: at Mon Nov 9 10:32:00 1998 ]C[Author ID1: at Mon Nov 9 10:32:00 1998 ](0[Author ID1: at Mon Nov 9 10:32:00 1998 ]+[Author ID1: at Mon Nov 9 10:32:00 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 0 (zero).[Author ID1: at Mon Nov 9 10:32:00 1998
]
Opis wpływu parametru R i L [Author ID1: at Mon Nov 9 11:12:00 1998
]na przebiegi składowych prądu[Author ID1: at Mon Nov 9 11:12:00 1998
]układ[Author ID1: at Mon Nov 9 11:12:00 1998
]:
Jeżeli zaczynamy zwiększać wartość rezystancji w obwodzie to [Author ID1: at Mon Nov 9 11:20:00 1998 ][Author ID1: at Mon Nov 9 11:34:00 1998 ]
[Author ID1: at Mon Nov 9 11:33:00 1998 ]składowe prądu praktycznie zanikają.[Author ID1: at Mon Nov 9 11:20:00 1998 ]
Jeżeli zaczniemy zwiększać wartość indukcji w obwodzie to wtedy rośnie stała czasowa wartości składowych maleją ale uzyskanie stanu ustalonego następuje po długim cz[Author ID1: at Mon Nov 9 11:21:00 1998 ]a[Author ID1: at Mon Nov 9 11:23:00 1998 ]sie[Author ID1: at Mon Nov 9 11:21:00 1998 ].[Author ID1: at Mon Nov 9 11:23:00 1998 ][Author ID1: at Mon Nov 9 11:20:00 1998 ]
Zwiększając wartość rezystancji w obwodzie zwiększamy również stałą czasową . Gdy zwiększa się stała czasowa to zmniejsza się wartość prądu w obwodzie, a tym samym wydłuża się czas ustalenia wartości napięcia na kondensatorze. [Author ID1: at Mon Nov 9 10:32:00 1998
]
Opis wpływu zmiany warunków początkowych napięcia [Author ID1: at Mon Nov 9 11:23:00 1998
]prądu w obwodzie[Author ID1: at Mon Nov 9 11:23:00 1998
]:[Author ID0: at Thu Nov 30 00:00:00 1899
]
[Author ID1: at Mon Nov 9 11:24:00 1998 ]Wartość początkowa prądu i(0[Author ID1: at Mon Nov 9 11:25:00 1998 ]-[Author ID1: at Mon Nov 9 11:25:00 1998 ]) = 2A [Author ID1: at Mon Nov 9 11:25:00 1998 ]dla chwil ( t = 0 )[Author ID1: at Mon Nov 9 11:26:00 1998 ] powoduje wzrost [Author ID1: at Mon Nov 9 11:25:00 1998 ]napięcia na rezystorze w stronę dodatnią, wzrost napięcia na cewce w stronę uj[Author ID1: at Mon Nov 9 11:27:00 1998 ]e[Author ID1: at Mon Nov 9 11:28:00 1998 ]mną. [Author ID1: at Mon Nov 9 11:27:00 1998 ]Wartość początkowa prądu i(0[Author ID1: at Mon Nov 9 11:28:00 1998 ]-[Author ID1: at Mon Nov 9 11:28:00 1998 ]) = 2A wywołuje powa[Author ID1: at Mon Nov 9 11:28:00 1998 ]żne zniekształcenia w obwodzie. Składowe prądu też odpowiednio rosną[Author ID1: at Mon Nov 9 11:29:00 1998 ]-->[Author ID0: at Thu Nov 30 00:00:00 1899 ]
Warunek początkowy u(0[Author ID1: at Mon Nov 9 11:34:00 1998
]-[Author ID1: at Mon Nov 9 11:34:00 1998
]) = 5V powoduje skrócenie czasu ustalenia się napięcia na kondensatorze o czas t[Author ID1: at Mon Nov 9 11:34:00 1998
]x[Author ID1: at Mon Nov 9 11:34:00 1998
], który można obliczyć z poniższego wzoru:[Author ID1: at Mon Nov 9 11:34:00 1998
]
[Author ID1: at Mon Nov 9 11:34:00 1998
][Author ID1: at Mon Nov 9 11:34:00 1998
][Author ID1: at Mon Nov 9 11:34:00 1998
]
[Author ID1: at Mon Nov 9 11:34:00 1998
] [Author ID1: at Mon Nov 9 11:34:00 1998
]
[Author ID1: at Mon Nov 9 11:34:00 1998
][Author ID1: at Mon Nov 9 11:34:00 1998
][Author ID1: at Mon Nov 9 11:34:00 1998
]
[Author ID1: at Mon Nov 9 11:34:00 1998
][Author ID1: at Mon Nov 9 11:34:00 1998
][Author ID1: at Mon Nov 9 11:34:00 1998
]
[Author ID1: at Mon Nov 9 11:34:00 1998
][Author ID0: at Thu Nov 30 00:00:00 1899
]
2
Sygnały i układy - LABORATORIUM
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