Deriving the Thin Lens Formula: How Does Equation 1 Relate to the Triangles?

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SUMMARY

The discussion focuses on deriving the Thin Lens Formula, specifically the equation 1/f = 1/do + 1/di. Participants emphasize the relationship between this formula and ray diagrams, highlighting the geometric interpretation involving triangles. The connection between the variables di, do, and f is clarified through the use of similar triangles in the context of lens optics. The discussion also addresses the derivation process and the significance of understanding these relationships for mastering optics concepts.

PREREQUISITES
  • Understanding of basic optics principles, including lenses and focal points.
  • Familiarity with ray diagrams and their construction.
  • Knowledge of similar triangles and their properties.
  • Basic algebra skills for manipulating equations.
NEXT STEPS
  • Study the derivation of the Thin Lens Formula in detail.
  • Explore the construction and interpretation of ray diagrams for convex and concave lenses.
  • Learn about the properties of similar triangles in geometric optics.
  • Investigate practical applications of the Thin Lens Formula in optical devices.
USEFUL FOR

Students studying optics, physics educators, and anyone seeking to deepen their understanding of lens behavior and optical formulas.

Larrytsai
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Hi I need help on figuring where and how 1/f = 1/do + 1/di
My teacher told me it relates to the ray diagram but i have no clue where to start to find where this formula has come from. Any help would be much appreciated.
 
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Here shows you how to derive it.
 
rock.freak667 said:
Here shows you how to derive it.

WOW thank you so much... i can't even explain how happy uve made me. I know this will help for sure but could you explain about how equation 1 relates to the triangles to me please. Just make it a lil more clearer to me:D or could someone explain to me how
di/f -1 is related to
Ab/cd = Af/df like i see the labels on the diagram but it doesn't make sense like why we divide f and stuff sry if u guys can't understand what I am trying to say
 
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