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Применение резистивных электрических цепей в радиотехнических устройствах

Язык: русский
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1

Академия ФСО России

Кафедра физики

Тема: “Применение резистивных электрических цепей в

радиотехнических устройствах”

Орел-2009

Содержание

Метод контурных токов (МКТ)

Решение системы контурных уравнений. Теорема взаимности

Применение резистивных цепей

Режим постоянного тока в электрических цепях

Заключение

Литература

Метод контурных токов (МКТ)

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701ffff040000002701ffff040000002d01080004000000f001060004000000f00107000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В основе метода контурных токов лежит введение в каждый контур условного
контурного тока, направление которого выбирается произвольно. Для
каждого из независимых контуров составляются уравнения по второму закону
Кирхгофа. Поясним суть МКТ на примере резистивной цепи, схема которой
изображена на рис. 1.1. Токи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 – контурные.

Рис. 1.1.

Число независимых контуров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.

Применяя второй закон Кирхгофа, получим уравнения для контуров:
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Выразим напряжения через токи и сопротивления ветвей:
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Токи ветвей определим через контурные токи:
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После простых преобразований получим систему трех уравнений с темя
неизвестными контурными токами:
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Проанализируем первое уравнение системы. Сумма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называется собственным сопротивлением первого контура и обозначается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. Коэффициент при токе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называется
взаимным сопротивлением первого и второго контура и обозначается
picscalex1000100090000030501000002001c0000000000050000000902000000000500
0000020101000000050000000102ffffff00050000002e0118000000050000000b020000
0000050000000c02600280061200000026060f001a00ffffffff000010000000c0ffffff
b7ffffff40060000170200000b00000026060f000c004d61746854797065000060001c00
0000fb0280fe0000000000009001000000000402001054696d6573204e657720526f6d61
6e00b7c5c677c0c5c67720c0c97700003000040000002d01000008000000320a10028a05
01000000337908000000320a100223010200000031321c000000fb0240fe000000000000
9001010000000402001054696d6573204e657720526f6d616e00b7c5c677c0c5c67720c0
c97700003000040000002d01010004000000f001000008000000320aa001900401000000
523208000000320aa00147000100000052321c000000fb0240fe00000000000090010000
00020002001053796d626f6c00774000000003040a20b7c5c677c0c5c67720c0c9770000
3000040000002d01000004000000f001010008000000320aa0012a03010000003d320a00
000026060f000a00ffffffff0100000000001c000000fb021000070000000000bc020000
00cc0102022253797374656d000000000a0021008a01000000000100000090e41200b9c1
c677040000002d01010004000000f0010000030000000000 и т. д.

По анализу полученных уравнений можно сформулировать правила составления
уравнений для k-го контура:

1) В левую часть уравнения записываем со знаком “плюс” произведение
контурного тока k-го контура на собственное сопротивление этого контура.

2) В левую часть записываем также слагаемые, представляющие собой
произведения контурного тока другого контура на взаимное сопротивление
между k-м и рассматриваемым контурами. Слагаемое входит со знаком
“плюс”, если k-й и рассматриваемый контурные токи совпадают по
направлению во взаимном сопротивлении, в противном случае
соответствующее слагаемое входит со знаком “минус”.

3) В правой части уравнения записывается алгебраическая сумма ЭДС,
действующих в k-м контуре, причем со знаком “плюс” входят ЭДС,
направление отсчета которых совпадает с направлением контурного тока.

После определения контурных токов можно вычислить ток в любом элементе
как алгебраическую сумму контурных токов. Например, ток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 в резисторе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 равен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Если электрическая цепь содержит источники тока, независимые контуры
выбираются так, чтобы через источник тока проходил лишь один контурный
ток.

Дерево графа не должно содержать ветви с источником тока. Контурный ток
в контуре с источником тока известен: он или равен задающему току
источника, или отличается от него знаком. В результате число неизвестных
контурных токов и число уравнений сокращаются на количество источников
тока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, т. е. число уравнений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.

Пример. Составим систему контурных уравнений для цепи, схема которой
приведена на рис. 1.2.
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Рис. 1.2.

Независимые контуры выбираем так, чтобы через источник тока проходил
только один контурный ток –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. При выбранном направлении контурного тока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 он равен задающему току источника. В схеме
будут два неизвестных контурных тока
picscalex100010009000003c900000002001c0000000000050000000902000000000500
0000020101000000050000000102ffffff00050000002e0118000000050000000b020000
0000050000000c02600260011200000026060f001a00ffffffff000010000000c0ffffff
b7ffffff20010000170200000b00000026060f000c004d61746854797065000060001c00
0000fb0280fe0000000000009001000000000402001054696d6573204e657720526f6d61
6e00b7c5c677c0c5c67720c0c97700003000040000002d01000008000000320a10027a00
0100000031791c000000fb0240fe0000000000009001010000000402001054696d657320
4e657720526f6d616e00b7c5c677c0c5c67720c0c97700003000040000002d0101000400
0000f001000008000000320aa0012b000100000069790a00000026060f000a00ffffffff
0100000000001c000000fb021000070000000000bc02000000cc0102022253797374656d
000000000a0021008a010000000000000000f8f31200b9c1c677040000002d0100000400
0000f0010100030000000000 и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. Уравнения контурных токов:
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.

Поскольку ток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 известен и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, то окончательно
получим:
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.

Метод контурных токов целесообразно применять тогда, когда число
контурных уравнений оказывается меньшим числа узловых уравнений.

Решение системы контурных уравнений.

Теорема взаимности

В общей форме система уравнений контурных токов, или система контурных
уравнений, может быть записана в следующем виде:
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Если число уравнений получилось достаточно большим, то для решения
системы уравнений применяются известные из математики методы, например,
метод Крамера. Все n уравнений являются линейно-независимыми и поэтому
система разрешима относительно n искомых токов. В этом случае контурный
ток k–го контура определяется следующим образом:
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,

где
picscalex1000100090000039d00000002001c0000000000050000000902000000000500
0000020101000000050000000102ffffff00050000002e0118000000050000000b020000
0000050000000c02c001a0011200000026060f001a00ffffffff000010000000c0ffffff
d7ffffff60010000970100000b00000026060f000c004d61746854797065000020001c00
0000fb0240fe0000000000009001000000020002001053796d626f6c0077400000000a08
0a2cb7c5c677c0c5c67720c0c97700003000040000002d01000008000000320a80013900
0100000044790a00000026060f000a00ffffffff0100000000001c000000fb0210000700
00000000bc02000000cc0102022253797374656d000000000a0021008a0100000000ffff
fffff8f31200b9c1c677040000002d01010004000000f0010000030000000000 –
определитель системы контурных уравнений;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 – алгебраическое дополнение элемента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 определителя.

Общее решение для k-го контурного тока имеет вид:
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.

Отсюда следует, что контурный ток можно найти как алгебраическую сумму
частных токов, создаваемой каждой ЭДС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, в отдельности. Данное соотношение есть математическая запись
принципа наложения, справедливого для линейных цепей.

На основании общего решения системы контурных уравнений можно доказать
следующую теорему: если источник напряжения, включенный в первый контур
пассивной цепи, вызывает во втором контуре ток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, то тот
же источник, будучи включенным во второй контур, вызовет в первом
контуре такой же ток i .
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Рис. 1.3.

Дуальная формулировка этой теоремы такова: если источник тока,
включенный к первой паре узлов пассивной цепи, вызывает между второй
парой узлов этой цепи некоторое напряжение и, тот же источник, будучи
включенным, к этой второй паре зажимов, вызывает на зажимах первой пары
узлов то же самое напряжение.

Цепи, которые удовлетворяют теореме взаимности, называют взаимными или
обратимыми.

Пример.

На рисунке 1.3а, показана схема цепи, для которой в чем легко убедиться,
ток:
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.

Требуется определить, чему будет равен ток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 (рис. 1.3б), если источник напряжения е
перенести в ветвь с сопротивлением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.

Ответ можно дать сразу же на основании теоремы взаимности:
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,

а в правильности его следует убедиться, определив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 непосредственно из схемы (см. рис. 1.3б)
традиционными методами.

Применение резистивных цепей

В электрических цепях, составленных только из резисторов, реакция цепи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 (ток в любой ветви или
напряжение между любыми узлами цепи) связана с воздействием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 соотношением:
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,

где А – не зависящий от времени коэффициент пропорциональности, откуда
следует, что реакция резистивной цепи воспроизводит воздействие с
точностью до постоянного множителя, т. е. колебания в резистивных цепях
возникают в момент приложения воздействия, изменяются во времени по
такому же закону, как и воздействия, и становятся равными нулю
одновременно с равенством нулю воздействия.

Эти свойства резистивных цепей и определяют область их применения. В
технике связи резистивные цепи применяются в качестве делителей
напряжения, магазинов затуханий, измерительных мостов.

Простейший делитель напряжения представляет собой последовательное
соединение двух резисторов (рис. 1.4 а). Отношение напряжений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 и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 называемое коэффициентом деления, равно:
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picscalex68010009000003710e00000b006800000000000400000003010800050000000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picscalex75010009000003230e00000b006800000000000400000003010800050000000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(а) (б)

Данное соотношение справедливо, если напряжение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 подводится к нагрузке, сопротивление которой
много больше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 (например, на вход усилителя). В противном
случае необходимо учитывать сопротивление нагрузки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 (рис. 1. 4б) и тогда:

picscalex100010009000003d901000003001c0000000000050000000902000000000500
0000020101000000050000000102ffffff00050000002e0118000000050000000b020000
0000050000000c02e004e0131200000026060f001a00ffffffff000010000000c0ffffff
b3ffffffa0130000930400000b00000026060f000c004d61746854797065000010010800
0000fa0200001000000000000000040000002d0100000500000014025002600305000000
130250025a050500000014025002710905000000130250022b131c000000fb0240fe0000
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a401d61e01000000527908000000320aa401e31c01000000527908000000320aa401551b
01000000757908000000320a1c04221201000000527908000000320a1c04580e01000000
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3d790a00000026060f000a00ffffffff0100000000001c000000fb021000070000000000
bc02000000cc0102022253797374656d000000000a0021008a01000000000300000090e4
1200b9c1c677040000002d01030004000000f0010200030000000000.

Магазином затухания называют высокоточный ступенчатый делитель
напряжения. Он составляется из нескольких (обычно трех) звеньев,
именуемых удлинителями (рис. 1.5).

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0002e0100000000030000001e00070000001604d3034507ee02680605000000090200000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Рис. 1.5.

В удлинителе сопротивления подбирают так, чтобы
picscalex1000100090000032501000002001c0000000000050000000902000000000500
0000020101000000050000000102ffffff00050000002e0118000000050000000b020000
0000050000000c020003c0091200000026060f001a00ffffffff000010000000c0ffffff
b1ffffff80090000b10200000b00000026060f000c004d61746854797065000060001c00
0000fb0280fe0000000000009001000000000402001054696d6573204e657720526f6d61
6e00b7c5c677c0c5c67720c0c97700003000040000002d01000008000000320a7501b608
01000000327908000000320ab002de0701000000307908000000320ab002210401000000
327908000000320ab0022b010100000031791c000000fb0240fe00000000000090010100
00000402001054696d6573204e657720526f6d616e00b7c5c677c0c5c67720c0c9770000
3000040000002d01010004000000f001000008000000320a4002d6060100000052790800
0000320a4002130301000000527908000000320a400247000100000052791c000000fb02
40fe0000000000009001000000020002001053796d626f6c00774000000021080a5fb7c5
c677c0c5c67720c0c97700003000040000002d01000004000000f001010008000000320a
40027005010000003d7908000000320a4002470201000000d7790a00000026060f000a00
ffffffff0100000000001c000000fb021000070000000000bc02000000cc010202225379
7374656d000000000a0021008a01000000000100000098f31200b9c1c677040000002d01
010004000000f0010000030000000000. Если удлинитель нагрузить на
сопротивление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, то его входное сопротивление также равно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.

Коэффициент деления напряжения, как можно установить, применяя любой из
методов анализа, равен:
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По заданному значению коэффициента деления и заданной величине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 вычисляются значения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 и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:
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На рисунке 1.6 показано два удлинителя, соединенные так, что вход одного
из них подключается к выходу другого. Последний удлинитель нагружен на
сопротивление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. Поэтому первый удлинитель оказывается также
нагруженным на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.

Коэффициент деления двух звеньев составляет:
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где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,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 – коэффициенты деления звеньев.

picscalex530100090000033f2500000b006800000000000400000003010800050000000
b0200000000050000000c02ac04400f030000001e0007000000fc020000ffffff0000000
40000002d01000008000000fa0205000100000000000000040000002d0101000c0000004
0092100f00000000000000072001d01ef00400a08000000fa02000000000000000000000
40000002d01020007000000fc020000ffffff000000040000002d01030008000000fa020
0000c00000000000000040000002d01040007000000fc020100000000000000040000002
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1000000750059001c000000fb020500020000000000bc02000000cc07020222537973746
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60004000000f001000007000000fc020000ffffff000000040000002d010000050000000
60101000000040000002d0101006800000024033200670761026a0760026c0760026f075
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d02530730024f0734024d0739024c073c024b073e024a0741024a0744024a0747024b074
a024c074d024d074f024f0754025307580257075c025c075e025e075f026107600264076
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4000000f001060008000000fa0200000c00000000000000040000002d010600040000002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c067d04040000002d010200040000002d01030004000000f001060008000000fa0200000
c00000000000000040000002d010600040000002d0105000800000025030200a00def03a
00d0b03040000002d010200040000002d01030004000000f001060004000000f00100000
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10d1603960d15039b0d1403a00d1403a40d1403a90d1503ae0d1603b30d1703b70d1803b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d010700040000002d01020005000000090200000000050000002e0100000000030000001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Рис. 1.6.

Значения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, и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 можно изменять независимо друг от друга, лишь
бы не нарушалось условие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. Таким же способом можно соединить
любое число звеньев с одинаковыми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.

При большом числе звеньев коэффициент деления будет выражаться большими
числами (десятки и сотни тысяч единиц). Поэтому его принято выражать в
логарифмических единицах – децибелах (дБ) – по формуле:
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,

и называть затуханием магазина.

Тогда вместо умножения коэффициентов деления производится сложение
затуханий отдельных звеньев, выраженных в децибелах (дБ).

Так как затухание звена, например, первого,
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,

то сопротивления звеньев можно вычислить по заданному затуханию звена.

Коэффициент деления (и затухание) звена можно изменять, если
одновременно изменять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 и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. Такое изменение производится обычно ступенями,
через определенное число децибел.

Измерительным мостом постоянного тока называется прибор, схема которого
изображена на рис. 1.7.
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Рис. 1.7.

В трех плечах моста помещены резисторы, сопротивления которых известны,
в четвертое плечо включается измеряемое сопротивление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. В одну диагональ моста включен источник
постоянного напряжения, во вторую диагональ – чувствительный индикатор.

Ток в диагонали моста (в индикаторе) равен нулю, если мост уравновешен,
т. е. если выполнено условие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 Поэтому при равновесии моста:
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С целью повышения точности измерений отношение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 выбирают в зависимости
от порядка выбираемого значения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.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 представляет собой набор (магазин)
сопротивлений. Изменением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 добиваются равновесия моста.

При измерениях сопротивлений с мощностью моста может быть получена
высокая точность измерения – сотых долей процента.

Режим постоянного тока в электрических цепях

Важным частным режимом работы электрической цепи является такой режим,
при котором к цепи подведены только неизменные по времени воздействия в
виде источников постоянного напряжения или тока.

В резистивной цепи, где реакция повторяет воздействие с точностью до
постоянного множителя, в момент подведения постоянного воздействия
возникают постоянные токи во всех ветвях и между всеми узлами
устанавливаются постоянные напряжения, т. е. устанавливается режим
постоянного тока.

В цепях общего вида, содержащих реактивные элементы, при подведении
воздействия в виде источников постоянного напряжения или тока спустя
некоторое время также устанавливается режим постоянного тока, т. е. все
напряжения и все токи в цепи будут постоянными. Таким образом,
производные тока и напряжения по времени равняются нулю. Отсюда вытекают
весьма важные выводы, которые будут использоваться при рассмотрении
процессов в цепях:

а) во-первых, следует заметить, что напряжения на всех емкостях в режиме
постоянного тока будут представлять собой постоянные величины и поэтому
через емкости токи проходить не будут. Следовательно, в данном режиме
работы цепи элементы емкости представляют собой разрывы цепи;

б) во-вторых, в режиме постоянного тока через элемент индуктивности
будет протекать постоянный ток. Поэтому напряжение на зажимах
индуктивности будет равняться нулю тождественно. Таким образом, элемент
индуктивности для режима постоянного тока будет представлять собой
короткое замыкание зажимов. Одновременно следует заметить, что
индуктивность с током будет определять некоторый запас энергии
магнитного поля.

Из указанных особенностей реактивных элементов электрической цепи
следует, что в режиме постоянного тока электрическая цепь может быть
охарактеризована схемой замещения, в которой элементы емкости исключены
(разрыв цепи), но напряжения на зажимах в схеме замещения указываются.
Элементы индуктивности в этом случае заменяются короткозамкнутыми
перемычками с известным током.

Расчет режима постоянного тока сводится к расчету резистивной цепи. При
расчете или ставится задача по определению токов во всех ветвях и
напряжений между всеми узлами, или, что бывает чаще, требуется найти
лишь заданную реакцию цепи.

Пусть требуется определить ток в индуктивности и напряжение на емкости
для цепи, изображенной на рис. 1.8 а.

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90376096c0370096f0368097003610971035a097303530974034c097403440974033d097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(а) (б)

Рис. 1.8.

Для режима постоянного тока схема замещения цепи изображена на рис. 1.8
б.
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При расчете режима постоянного тока в линейных активных цепях обычно
возникает задача определения параметров резистора, обеспечивающих
заданные (или выбранные) значения постоянного напряжения и тока
электронной лампы или транзистора. Эта задача также сводится к расчету
резистивной цепи.

Пусть, например, требуется вычислить величины сопротивлений резисторов,
необходимых для обеспечения заданного режима постоянного тока
транзистора (рис. 1.9).
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000330c0a8900e3c77709e3c77720c0ca7700003000040000002d010700040000002d010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Рис. 1.9.

Здесь читаются известными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Искомыми являются значения резисторов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Для определения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 составляем уравнение по второму закону Кирхгофа
для контура, включающего источник, напряжение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 и резистор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:
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 откуда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Определение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 производим на основании уравнения,
составленного для контура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, учитывая, что напряжение на резисторе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 равно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:
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 откуда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Ток в резисторе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 в соответствии с первым законом Кирхгофа:
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 тогда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О том, как выбрать значения постоянных токов и напряжений в транзисторе,
изложено в теме “Усилители электрических сигналов”.

Заключение

При расчете сложных электрических цепей методами узловых напряжений или
контурных токов определяют ток в любой ветви и напряжение между любыми
узлами цепи. При использовании метода узловых напряжений неизвестными,
подлежащими определению, являются так называемые узловые напряжения.
Определив их, находят напряжение между любыми другими узлами цепи и
соответственно токи в любых ветвях.

При использовании метода контурных токов неизвестными являются контурные
токи. Определив их, находят токи в ветвях как алгебраическая сумма
контурных токов, протекающих через данную ветвь, и соответственно
напряжения между любыми узлами.

Теорема взаимности оказывается полезной в задачах анализа свойств
линейных пассивных электрических цепей. При практическом использовании
теоремы нужно внимательно проверить возможность и правильность ее
применения.

Необходимость определения напряжений на зажимах элементов емкости и
токов в элементах индуктивности объясняется тем, что эти величины при
изменении режима работы цепи (при коммутациях) изменяются непрерывно.
Поэтому указанные величины могут быть использованы при определении
начальных условий.

Литература

Теория линейных электрических цепей. – М.: Радио и связь, 1986

Бакалов В.П. и др. Теория электрических цепей. – М.: Радио и связь,
1998.

Качанов Н.С. и др. Линейные радиотехнические устройства. М.: Воен.
издат., 1974

В.П. Попов Основы теории цепей – М.: Высшая школа, 2000

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