Focal Length of a Plano Convex Lens

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SUMMARY

The focal length of a Plano-Convex lens is determined using the lens maker's equation, which applies regardless of whether light passes through the convex side or the planar side. Calculations using R1 for the convex side and R2 for the plane side yield the same focal length as calculations using R1 for the plane side and R2 for the convex side. The key takeaway is to carefully consider the signs in the lens maker's equation, as they can affect the calculations but do not change the final result.

PREREQUISITES
  • Understanding of the lens maker's equation
  • Familiarity with optical principles, specifically focal length
  • Knowledge of sign conventions in optics
  • Basic algebra for calculations
NEXT STEPS
  • Study the lens maker's equation in detail
  • Explore the effects of different lens shapes on focal length
  • Learn about sign conventions in optics
  • Investigate practical applications of Plano-Convex lenses in optical systems
USEFUL FOR

Optics students, physics educators, optical engineers, and anyone involved in lens design and analysis.

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Hi,

The focal length of the Plano-Convex lens as calculated by the lens maker equation: Does it work when light crosses the lens from the convex side, planar side, or both?

Thanks.
 
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Calculate it both ways: using R1 for the convex side and R2 for the plane side; and using R1 for the plane side and R2 for the convex side. Does it make a difference in the result?

Hint: watch out for the + and - signs!
 
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jtbell said:
Calculate it both ways: using R1 for the convex side and R2 for the plane side; and using R1 for the plane side and R2 for the convex side. Does it make a difference in the result?

Hint: watch out for the + and - signs!

Thank you very much, It is clear now that the focal length is the same.
 

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