IYPT 1988, Задачи на турнира — Задача 4. Electric circuit

Problems for the 1st International Young Physicists’ Tournament

Critical edition

Olympiets Youth Center, Moscow, Soviet Union; March 28–April 2, 1988 [1]

Critical edition: translated, restored, and commented text [2]

FINAL DRAFT. — Please do not re-publish. Suggestions and criticism welcome

Translated, edited, and commented by Ilya Martchenko. The original edition’s historical notes, sources and acknowledgments are retained with problem 1.

Епиграф

The sciences nourish young people,
Give consolation to the old,
They decorate a happy life,
And they protect one in misfortune...

M. V. Lomonosov [3]

Условие

Several knots (n≤10n\le10) [5] are interconnected with batteries of known EMF and rr. Create a computer program to calculate the potential difference between the first and the second knot. Consider the time from the start of data input (tables of EMF and rr values) to the moment of the correct result output, as the quality criterion of the program.

Note [5]

It was stated “n≤10” in [MGU 1988], but “n<10” in [Kvant 1987]. In the temporary 2002 publication of the problems on the Evgeny Yunosov's Faraday Tournament website [Farad 2002], it was stated “n>10”. Both 1996 Czech and 2006 English versions read here “nj10”, while the 1996 Slovak translation does not introduce the n variable at all (“<10”.) It may be speculated that a handwritten formula in a book published shortly before the event, and most commonly used by the participants and jurors at the competition, is somewhat more authentic

Решение

Внимание: Непълно решение

В архива няма официално решение на тази задача.


Оригинал в Архива: 1988.pdf