Exercise
https://texercises.com/exercise/spharischer-hohlspiegel/
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The following quantities appear in the problem: Brennweite \(f\) / Bildweite \(b\) / Gegenstandsweite \(g\) /
The following formulas must be used to solve the exercise: \(\frac{1}{g}+\frac{1}{b}\approx \frac{1}{f} \quad \)
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Exercise:
Ein Gegenstand befindet sich gO von einem sphärischen Spiegel mit fO Brennweite entfernt. Wie gross ist die Bildweite?

Solution:
pgfmathparsefX ifnumpgfmathresult defv-r else defvr fi center tikzpicture drawdashed ---; drawvery thick blue arc ::-v; drawvery thick blue arc :-:-v; filldrawblue v circle .mm nodebelow r; filldrawblack v/ circle .mm nodebelow f; % Gegenstandspfeil pgfmathparser//fX*gX edefGpgfmathresult drawcolorgreen!!black -stealth very thick G --G nodeabove g; % Bildpfeil pgfmathparse /fX-/gX^-/fX*r/ edefBpgfmathresult pgfmathparse-B/G edefVpgfmathresult drawcolorred!!white -stealth very thick B --B V nodeabove b; tikzpicture center SolQtyb/fX-/gX^-m b leftfracf-fracgright^- leftfracf-fracgright^- b
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\(\LaTeX\)-Code
Exercise:
Ein Gegenstand befindet sich gO von einem sphärischen Spiegel mit fO Brennweite entfernt. Wie gross ist die Bildweite?

Solution:
pgfmathparsefX ifnumpgfmathresult defv-r else defvr fi center tikzpicture drawdashed ---; drawvery thick blue arc ::-v; drawvery thick blue arc :-:-v; filldrawblue v circle .mm nodebelow r; filldrawblack v/ circle .mm nodebelow f; % Gegenstandspfeil pgfmathparser//fX*gX edefGpgfmathresult drawcolorgreen!!black -stealth very thick G --G nodeabove g; % Bildpfeil pgfmathparse /fX-/gX^-/fX*r/ edefBpgfmathresult pgfmathparse-B/G edefVpgfmathresult drawcolorred!!white -stealth very thick B --B V nodeabove b; tikzpicture center SolQtyb/fX-/gX^-m b leftfracf-fracgright^- leftfracf-fracgright^- b
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Tags
brennweite, geometrische optik, optik, physik, spiegel
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Difficulty
(1, default)
Points
1 (default)
Language
GER (Deutsch)
Type
Calculative / Quantity
Creator uz
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