EuPhO 2024 — Задача 3. Task E.3 - Small area behaviour

Автор: Olympiads XYZ · транскрипция на официалните материали

Проверена срещу оригинала на 13.9.2026 от същия модел, който я е транскрибирал (без независима проверка)

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УсловиеРешение

"EuPhO 2024, Kutaisi, Georgia — Experimental Problems" · 1 т.

Внимание: Бележка към темата

Solutions-only window; statements to be assembled from the problems-document window. E.4 solution is incomplete (continues beyond page 6).

Условие

When a force is applied to a small region of the piezo crystal, due to electro-mechanical coupling, the crystal will try to curve. However, the wooden plates will prevent this, and as a result, mechanical stress will appear in other parts of the crystal, too.

How much will the electrical response change when the force is applied to a small area of the crystal? Consider only the linear range of the response.

Plot of piezo voltage U_p in volts (0 to 40) versus force F in newtons (0 to 12), with dark-blue experimental points with error bars and a straight red fit labelled 'linear fit, β = (3.37 ± 0.1) V/N'; legend also shows 'experimental values'.
Figure 8

Решение

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Оригинал в Архива: eupho2024_experiment_problems.pdf · официални решения: eupho2024_experiment_solutions.pdf