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Консультация № 198644
19.05.2020, 18:59
0.00 руб.
19.05.2020, 20:02
1
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Уважаемые эксперты! Пожалуйста, ответьте на вопрос:
1. Даны результаты прямых измерений некоторых физических величин и уравнение их связи с другой физической величиной.
2. Найти значение этой величины и оценить его погрешность.
Я буду Вам очень сильно благодарна.
R1 = (23[$177$]5) Ом
R2 = (12[$177$]3) Ом
1. Даны результаты прямых измерений некоторых физических величин и уравнение их связи с другой физической величиной.
2. Найти значение этой величины и оценить его погрешность.
Я буду Вам очень сильно благодарна.
R1 = (23[$177$]5) Ом
R2 = (12[$177$]3) Ом
Прикрепленные файлы:
Обсуждение
19.05.2020, 20:44
общий
это ответ
Здравствуйте, JennIDee!
Найдём частные производные
[$8706$]R/[$8706$]R1=(R2(R1+R2)-R1R2)/(R1+R2)2=R22/(R1+R2)2
[$8706$]R/[$8706$]R2=(R1(R1+R2)-R1R2)/(R1+R2)2=R12/(R1+R2)2
Погрешности независимых величин складываются следующим образом
[$916$]R=[$8730$](([$916$]R1[$8706$]R/[$8706$]R1)2+([$916$]R2[$8706$]R/[$8706$]R2)2)=
Подставляя данные в условии значения, находим погрешность [$916$]R=1,4 Ом (поскольку первая цифра - единица, оставляем 2 значимые цифры)
Наконец, подставляем средние значения в исходное выражение и округляем до того же разряда, что и в случае погрешности, то есть R=7,9 Ом
В итоге получаем следующее значение искомой величины
R=(7,9[$177$]1,4) Ом
Найдём частные производные
[$8706$]R/[$8706$]R1=(R2(R1+R2)-R1R2)/(R1+R2)2=R22/(R1+R2)2
[$8706$]R/[$8706$]R2=(R1(R1+R2)-R1R2)/(R1+R2)2=R12/(R1+R2)2
Погрешности независимых величин складываются следующим образом
[$916$]R=[$8730$](([$916$]R1[$8706$]R/[$8706$]R1)2+([$916$]R2[$8706$]R/[$8706$]R2)2)=
Подставляя данные в условии значения, находим погрешность [$916$]R=1,4 Ом (поскольку первая цифра - единица, оставляем 2 значимые цифры)
Наконец, подставляем средние значения в исходное выражение и округляем до того же разряда, что и в случае погрешности, то есть R=7,9 Ом
В итоге получаем следующее значение искомой величины
R=(7,9[$177$]1,4) Ом
5
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