Understanding the Thin Lens Equation: How to Graph and Interpret Results

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SUMMARY

The discussion centers on the Thin Lens Equation, specifically the correct formulation for calculating the object distance (d_o) given the image distance (d_i) and focal length (f). The accurate equation is d_o = (f * d_i) / (d_i - f), which was confirmed by multiple participants. The original equation presented, do = 1/(f - 1/di), was identified as incorrect due to unit inconsistencies. Participants emphasized the importance of knowing the values of d_o, d_i, and f for effective graphing.

PREREQUISITES
  • Understanding of the Thin Lens Equation
  • Familiarity with graphing techniques in physics
  • Basic knowledge of optics and lens properties
  • Ability to interpret mathematical equations
NEXT STEPS
  • Study the derivation of the Thin Lens Equation
  • Learn how to graph 3D equations in physics
  • Explore the impact of varying focal lengths on image formation
  • Investigate software tools for graphing mathematical equations
USEFUL FOR

Students studying optics, physics educators, and anyone interested in understanding and applying the Thin Lens Equation for practical applications in optics.

Larrytsai
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I need to learn how to graph do=1/(f -1/di) like i have my measurements and when i plug in my di i get a do so what do i do with my old do?
 
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Larrytsai said:
do=1/(f -1/di)

Are you sure that's the correct equation? Shouldn't it be the following?

d_o=\frac{fd_i}{d_i-f}
 
Tom Mattson said:
Are you sure that's the correct equation? Shouldn't it be the following?

d_o=\frac{fd_i}{d_i-f}

umm that's the way my teacher wrote it. Iduno he might be wrong lol
 
I don't think you typed it in correctly. In the denominator you have f-1/di. You're subtracting a distance and an inverse distance. The units don't work out. Please check it. Also, when you say you need to graph the equation, do you know the values of any of the variables do, di, or f? If not, then you'll have to do a 3D graph, which is much more involved.
 

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