|
Шпаргалка по физике. Закон сохранения электрического заряда. Закон Кулона. Алгебраическая сумма электрических зарядов всех частиц изолированной системы не меняется при происходящих в ней процессах
10) Работа и мощность тока. Закон Джоуля-Ленца.
Работа тока - это работа электрического поля по переносу электрических зарядов вдоль проводника. Работа тока на участке цепи равна произведению силы тока, напряжения и времени, в течение которого работа совершалась. Применяя формулу закона Ома для участка цепи, можно записать несколько вариантов формулы для расчета работы тока:
![](data:image/jpeg;base64,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)
По закону сохранения энергии: работа равна изменению энергии участка цепи, поэтому выделяемая проводником энергия равна работе тока.
Мощность тока - физическая величина, характеризующая скорость передачи или преобразования электрической энергии.
![](data:image/png;base64,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)
ЗАКОН ДЖОУЛЯ –ЛЕНЦА При прохождении тока по проводнику проводник нагревается, и происходит теплообмен с окружающей средой, т.е. проводник отдает теплоту окружающим его телам. Количество теплоты, выделяемое проводником с током в окружающую среду, равно произведению квадрата силы тока, сопротивления проводника и времени прохождения тока по проводнику.
![](data:image/jpeg;base64,/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/wgALCAAoAOwBAREA/8QAGgABAQADAQEAAAAAAAAAAAAAAAQBAwUCBv/aAAgBAQAAAAH78AAADmdMAxkxkDGQfK9nog+e6XiLdpozZ4bIfPR+afR4i0dmOimeHrtU1zh9fbp8Uz78zU69c13uWpyMdhLUAAABNiof/8QAIRAAAwEAAQMFAQAAAAAAAAAAAgMEAQUAEBMSFCAhQCT/2gAIAQEAAQUC/SdBhX+wPvjsnLKPl7gmcnU8kBK9j8VmWt49xtjVc0m8jv8APqc2xrCAqz8ckqvDOkzPBNp8jTWxTUmRpBW0zVGJ2zga55zJiZzeyt9dK6ALSV6BxnkPsk2GKjY2/sYeQPaK71Qm1oBi19MWLQUkVZ05APDPrOsQsXdGPrBKQQrIUegBwA6XOtRduQaa54WMdvYJ1LZ+k0ibUoBGfD//xAAyEAACAQMBBQIOAwAAAAAAAAABAhEAAxIhEBMiMVEyQRQgIzNAUmFxgZGhscHRQmLC/9oACAEBAAY/AvSVtG15NtM8u+Onpt5tcr1wqBPLigULm84QICxyHj2hxbriC6aE+/50CqZE+wn7CmLpjH9WH3FX2vTjbuYKs/WizcWLFQfWApVazoxicXH+aW3rNy4qiPfVoS0W0ntH4fmrYW0z5NBI/jV5+iGkSSTGpJnWm3lrdwxA1mR1q4JXdWxET3msUtyOuLfgUrMIJ7o/dNdW2X31wnVuyvsq7KMcQLa8cLketItxs3A1PWgz2jbPqmrzMV3SnBQDTKtqUHfu2P1FBiNSOVb3wZs/h+68y/0/ewm5b3ZkgCZ0q7xDd2+EDr37SpJE9DFWu15Ps8Z252rgQMIdYMN8jSoAAAI02YuJFGJJPMsZOzC4CV6TFRsa8BxtzM7CpnXoaW3bEKvKriYki6ZaSTNBV5DY7KNWMnXaN2WDs4UY1cuZE2T5vLn7drXFXjbmfSkuGZTlrTC3IBMxPi//xAAoEAEAAQMDAwMEAwAAAAAAAAABEQAhMRBBUWGBkSCxwTBAceGh8PH/2gAIAQEAAT8h+5hkpB5XIPpJ+osZ9eZ3OmUIvaM140N5z/cHriNCLiCM8ujpO9SShGy81XiQRkeKryHT4EBdGW/amBZF5RA1DiJgXmHtQyEKSR3NzoNX9G5TJde+MqHATSWctC5F5CxLGKlYULSd2aXUQBPC7qt9PApgG5v+6sewKn90qJMpZCO11OdRusAhYn5ehUR++FFKWPUJ/VJfHOdS3Ot+UvUy+mW15jm8dqtNFF2t1Pas0wIn5ih0zd5z+VDbffSgEmYWxqWxhvZSCcxxzqQ5CFmeaIJTc7Ifz21VzYP8iwTaiBCAINMuqOYh5qVOYVO7pc6EwfsoQCbcs6dejDgMY2PGgtgGFgfNI0FAWaCqLGceaHaDgJ0ZkLmTduxxfW0uahc3z0mpROCzjujrzfUT4syL/m3j7peZskQDETHejyTzJBeDb0//2gAIAQEAAAAQ/wD/AP8AX3WeW17q5Yc6uTCt/wD/AP8AP//EACQQAQEAAgIBBQADAQEAAAAAAAERACExQVEQIGFxgUCRobHB/9oACAEBAAE/EP47rKOUkOcNgwV4lWc/WHuu/YGnosy7PRZg32jugLNuXDjL6uAKSMi0/wAAJ34zceN+hQgl2sVlYWGz0X2ebOksra4gF1yATxwrbS2J/uHzlREGoCPkv4OXMAnZ4CKKi2OO3FhR3aBLurIpajmqfFJbFprk5QdviHGMooQ2DzcFiziywbdJTluc4HPggIdzwfH/AGCBLAolErnbDW96xnHIIgqpef6yFC7AOicHg7J+4XtS0dbwIhOIdq5XSyBr4f8Aavxmh36rXiAP0MCsdBqWiHb4V6CIVocpypwAaXzolwIOxNt7+39wuDrDRAr8gP7iOwSCrE3TtN+IDVXXHAoLoHK8LieUVyFIG0shR+h8zCd9iaMSzTTV5neAV3uH/wA8bnDiMkQEDKnFNzrBk/HGrpihTxBQlVOPS+RwhPgbPzAEDfGVOttLtdM41k9NKBUpxv6KAdOh1xPdYdAkCsP1ybxoJoaQNAkREoiJhY32YugUWBwcG+19NWjMEo0tFjH7B6wbAABRa8rt+/RCYERB5AmGGoVBkx6HWRD4CI/WVCEKg+1XPgVEeDWh0d9YqQFyYHG3biXJ97RBdBUrZkrzwTAmEiJiGlABFnTGN3vEEcCDENEbOPR4xrKFoVllXaVJYvBh/JZXY9IkhpYjfX3jcILTKjMFrCG/b//Z)
По закону сохранения энергии количество теплоты, выделяемое проводником численно равно работе, которую совершает протекающий по проводнику ток за это же время.
| 11) Закон Ома для неоднородного участка цепи. Правило Кирхгофа.
Обобщённый закон Ома для неоднородного участка цепи выглядит так
![](data:image/png;base64,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)
В случае замкнутой цепи закон Ома имеет следующий вид:
![](data:image/png;base64,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)
Для расчета разветвленных цепей постоянного тока используют законы (правила) Кирхгофа.
Если считать токи, входящие в узел, положительными, а выходящие из узла – отрицательными, то первое правило Кирхгофа может быть сформулировано так: в любом узле замкнутой электрической цепи алгебраическая сумма токов равна нулю, т.е.
![](data:image/png;base64,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) Второе правило Кирхгофа является обобщением закона Ома на разветвленные цепи и может быть сформулировано так: в любом неразветвленном контуре алгебраическая сумма ЭДС равна алгебраической сумме падений напряжений, т.е.
На основе правил Кирхгофа составляют систему уравнений, решение которой позволяет вычислить силы токов в ветвях цепи.
| 12) Элементарная классическая теория металлов. Работа выхода электрона из металла. Виды электронной эмиссии.
Работа выхода имеет величину порядка нескольких эВ и зависит от рода металла и состояния его поверхности: загрязнения и следы влаги изменяют ее. Наиболее быстро движущиеся электроны покидают металл на расстоянии нескольких межатомных расстояний. В результате в этом месте возникает избыток положительных зарядов, а вблизи поверхности проводника образуется электронное облако.
![](data:image/jpeg;base64,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)
Возникает двойной электрический слой, поле которого подобно полю тонкого плоского конденсатора. Он не создает электрического поля во внешнем пространстве, но препятствует выходу свободных электронов из металла. Таким образом, электрон при вылете из металла
должен преодолеть задерживающее его электрическое поле двойного слоя. Разность потенциалов в этом слое называется поверхностным скачком потенциала или контактной разностью потенциалов между металлом и вакуумом и определяется работой выхода А электрона из металла
,
- заряд электрона.
Виды эмиссии. Термоэлектронная эмиссия.
Если сообщить электронам в металле энергию, необходимую для преодоления работы выхода, то часть электронов может покинуть металл, в результате чего наблюдается явлении е испускания электронов, или электронной эмиссии. В зависимости от способа сообщения электронам энергии различают:
1). Холодную эмиссию – вырывание электронов из металла под действием сильного электрического поля.
2). Вторичную эмиссию – при бомбардировке металла сильно разогнанными электронами.
3). Фотоэмиссию (фотоэффект) – в результате освещения поверхности металла.
4). Термоэлектронную эмиссию – испускание электронов нагретым металлом.
|
13) Ионизация газов. Несамостоятельный газовый разряд.
Ионизация – расщепление нейтральных атомов и молекул на ионы и свободные электроны. Для этого газ надо подвергнуть действию какого-либо ионизатора (сильный нагрев, короткое электромагнитное излучение, корпускулярное излучение и тд). При этом происходит вырывание из электронной оболочки атома или молекулы одного или нескольких электронов, что приводит к образованию свободных электронов и положительных ионов.
Газовый разряд – прохождение электрического тока через газы.
Энергия ионизации – энергия, которую необходимо затратить для того, чтобы выбить из молеклы один электрон. Лежит в пределах от 4 до 25 эВ.
Процесс рекомбинации: положительные и отрицательные ионы, положительные ионы и электроны, встречаясь, воссоединяются между собой с образованием нейтральных атомов и молекул. (Чем больше ионов возникает, тем интенсивнее идёт процесс рекомбинации).
Несамостоятельные газовые разряды – разряды, существующие только под действием внешних ионизаторов.
| 14) Самостоятельный газовый разряд и его типы.
Самостоятельный газовый разряд – разряд, сохраняющийся после прекращения действия внешнего ионизатора.
Напряжение пробоя – напряжение, при котором возникает самостоятельный разряд.
Типы самостоятельного газового разряда
Тлеющий разряд. Самостоятельный разряд, происходящий в разреженном газе. Возникает при низком давлении. Характеризуется неодинаковыми по интенсивности излучением участка разрядов (лампа дневного света, катодное напыление металлов).
Искровой разряд. Прерывистый самостоятельный разряд при нормальном или повышенном давлении газа в электрическом поле большой напряжённости (для измерения высоких напряжений, для резки, сверления и точной обработки металлов).
Дуговой разряд. Разряд между электродами, нагретыми до высокой температуры при атмосферном или повышенном давлении (сварка и резка металлов, получение высококачественных сталей (дуговая печь) и освещение).
Коронный разряд. Самостоятельный разряд, возникающий при нормальном и повышенном давлении у концов заострённых электродов и сопровождающийся слабым фиолетовым свечением в виде короны (в электрофильтрах для очистки промышленных газов от примесей, при нанесении порошковых и лакокрасочных покрытий).
| 15) Плазма и её свойства.
Плазма – нейтральная в целом система, состоящая из хаотически перемешанных заряженных микрочастиц (электронов и ионов, например, в сильно ионизированном газе). Низкотемпературная плазма (Т=103-104К), применение – сварка и резка металлов, в магнитогидродинамических (МГД) генераторах, для получения химических соединений инертных газов, дробления твёрдых тел.
Высокотемпературная плазма Т>=106К
Свойства плазмы:
- Высокая степень ионизации в пределе – полная ионизация;
- Равенство нулю результирующего пространственного заряда;
- Большая электропроводность;
- Свечение;
- Сильное взаимодействие с электрическим и магнитным полями;
- Колебания электронов в плазме с большой частотой (около 108 Гц), вызывающие общее вибрационное состояние плазмы.
- «Коллективное» - одновременное взаимодействие громадного числа частиц (в обычных газах частицы взаимодействуют друг с другом попарно)
|
16) Магнитное поле. Закон Био - Савара - Лапласа. Магнитное поле движущегося заряда.
Магнитное поле – особая форма материи, существующая вокруг движущихся электрических зарядов – токов. Источниками магнитного поля являются постоянные магниты, проводники с током. Обнаружить магнитное поле можно по действию на магнитную стрелку, проводник с током и движущиеся заряженные частицы.
Свойства магнитного поля:
магнитное поле материально;
источник и индикатор поля – электрический ток;
магнитное поле является вихревым – его силовые линии (линии магнитной индукции) замкнутые;
величина поля убывает с расстоянием от источника поля.
Силовая характеристика магнитного поля – вектор магнитной индукции B⃗ . Модуль вектора магнитной индукции равен отношению максимального значения силы, действующей со стороны магнитного поля на проводник с током, к силе тока в проводнике I и его длине l: ![](data:image/png;base64,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) Действует принцип суперпозиции Закон Био-Савара-Лапласа ![](data:image/png;base64,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) Т.к. в законе Био-Савара-Лапласа имеется векторное произведение , то вектор ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABUAAAAYCAMAAAAiV0Z6AAAACXBIWXMAAA7IAAAOyQFXR7AtAAADAFBMVEUAAAAAADo6AAA6ADoAAGY6AGZmAABmADoAOpA6OpAAZrY6ZrY6kNtmtv+QOgC2ZgCQkGbbkDr/tmaQ2/+2////25D//7bb/////9v8A/sAAAD///////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////9WyFeyAAAAGnRSTlP/////////////////////////////////ABQiANoAAACPSURBVHiczZDdDoMwCEaZ+9HVIdOJ2vd/UT9oyJbYxNv18gDng1KuPTqikWs0C//S5UHldee9B69QquywDWxdxboGXdqP15JlvoLqc/Ul2EpOsdDl7Vq9z4i4zaDaJJ8KL3uawF60WVDTBpjc5aOhhYz0ijb5al1GNoEbtIcWrm1AmHkRMNrqU9xQ/d8/oTuezSn0+v/2/gAAAABJRU5ErkJggg==)
Должен быть перпендикулярен плоскости векторов и . Направление вектора по правилу правой руки.
Модуль (величина) вектора равен ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAH0AAAAfCAMAAAD9YjJGAAAACXBIWXMAAA7FAAAOxAFed92+AAADAFBMVEUAAAAAADo6AAA6ADo6OjoAAGY6AGZmAABmADpmAGZmZjoAOpA6OpAAZpAAZrY6ZrZmOpBmZrY6kNtmkJBmkNtmtv+QOgCQOjqQOma2ZgCQkGbbkDrbkGbbtmb/tmaQtpC2kJC8kJC2ttu2/7aQ2/+2/9u2///b25D/25D//7bb29vb2//b/9vb/////9v8A/sAAAD///////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////+w5L0VAAAAMHRSTlP//////////////////////////////////////////////////////////////wBipdB4AAACBklEQVR4nO2W61LCMBCFt9WKWg0abbFGI2rFVKV9/7fzbBIQMYUCRf+4wwyTZJtvc3ZzoeYvjfY1cUHZr9IVkXT/4GphrpfCCUTTH13LRllAfTNh1l25/pvu9HpUNkqGGnMPYOucKJ021fHDsDGxUCwH9wkNRTRdxU4f7kvv0z7p5mxa55JFAAchjF9jyQ30m6FVvkinGgMMh1LJpE86SAAxpiDBHUq4AUXJxNGxfkv3fp7u3VfSc8wq2TUq540vq04mbm6dvDyhAlQ2LzREpcV3OvtF5Rt9Tc1FSzZrLXSiQxKIGkvyjcVxxc1qQOc5orP5RkCOjlkzzoWm5HlgdyL8REHS06vjkue33y8LOqPf2LmwCvx8Y1fzdM4DwJmrhzB9VHpPKOkbPdChQnTLIpoj3qiJXxWLS4FcFJT0sm5Hx670ctu8dzgfl0xFW+tAvAdd2m0Rm7gNTwFbpIfG15pNttXcp31WyG3K92lkDhB5MU97a8nviR7bowlHocIa67y/kupCB5oyZY+CfamMmVsKc2+vi0W6CF7um9Nbz6LVtvzS2JJ+d7oNXaevYfxmdC1xreJshHWqTve+MLF/c+1Gry5xqY8fny+mP+72sM3eF222EV25XaFl50tGrX42bFrzvGiVmbOP907uLbW+Jb0aRCXORP7r5H6yujp+Y7//0//p3+0TivKEy4nguQUAAAAASUVORK5CYII=)
Закон Био-Савара-Лапласа в скалярной форме
![](data:image/png;base64,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Каждый проводник с током создает в окружающем пространстве магнитное поле. Электрический же ток представляет собой упорядоченное движение электрических зарядов. Поэтому можно сказать, что любой движущийся в вакууме или среде заряд создает вокруг себя магнитное поле. В результате обобщения опытных данных был установлен закон, определяющий поле В точечного заряда Q, свободно движущегося с нерелятивистской скоростью v.Под свободным движением заряда понимается его движение с постоянной скоростью. Этот закон выражается формулой: вектор В направлен перпендикулярно плоскости, в которой расположены векторы v и г, а именно: его направление совпадает с направлением поступательного движения правого винта при его вращении от v к г. Модуль магнитной индукции вычисляется по формуле![](data:image/jpeg;base64,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)
| 17) Применение закона Био-Савара-Лапласа для расчета магнитных полей.
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)
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)
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)
| 18) Сила Лоренца.Закон Ампера. Ампер экспериментально установил, что величина силы, действующей на элемент тока , находящийся в магнитном поле с индукцией В определяется по формуле
,где - угол между векторами и ( направлен по току в проводнике).Для прямолинейного проводника формула модуля силы Ампера имеет вид . Направление силы Ампера определяют по правилу левой руки. Сила Ампера всегда перпендикулярна элементу тока и направлению вектора магнитной индукции
На заряженную частицу, движущуюся в магнитном поле, действует сила Лоренца ![](data:image/png;base64,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) Направление силы Лоренца определяют по правилу левой руки. Сила Лоренца всегда перпендикулярна направлению вектора скорости и вектора магнитной индукции. Под действием этой силы модуль скорости заряда и его кинетическая энергия не изменяются, а направление скорости заряда изменяется непрерывно.
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