Lens Makers Equation Calculator

✖Lens Refractive Index is a measure of the degree to which a lens bends light, dependent on the material and shape of the lens, affecting the focus and clarity of an image.ⓘ Lens Refractive Index [μ_l]			+10% -10%
✖Radius of Curvature at Section 1 is the radius of the curvature of the lens at a specific section, which is a critical parameter in lens design and optics.ⓘ Radius of Curvature at Section 1 [R₁]			+10% -10%
✖Radius of Curvature at Section 2 is the radius of the circle that a curve would form if it were bent around a circular arc at a particular section of a lens.ⓘ Radius of Curvature at Section 2 [R₂]			+10% -10%

✖The Focal Length of Thin Lens is the distance from the lens where parallel rays of light converge or appear to diverge after passing through the lens.ⓘ Lens Makers Equation [f_thinlens]

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Lens Makers Equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Focal Length of Thin Lens = 1/((Lens Refractive Index-1)*(1/Radius of Curvature at Section 1-1/Radius of Curvature at Section 2))
f_thinlens = 1/((μ_l-1)*(1/R₁-1/R₂))
This formula uses 4 Variables

Variables Used

Focal Length of Thin Lens - (Measured in Meter) - The Focal Length of Thin Lens is the distance from the lens where parallel rays of light converge or appear to diverge after passing through the lens.
Lens Refractive Index - Lens Refractive Index is a measure of the degree to which a lens bends light, dependent on the material and shape of the lens, affecting the focus and clarity of an image.
Radius of Curvature at Section 1 - (Measured in Meter) - Radius of Curvature at Section 1 is the radius of the curvature of the lens at a specific section, which is a critical parameter in lens design and optics.
Radius of Curvature at Section 2 - (Measured in Meter) - Radius of Curvature at Section 2 is the radius of the circle that a curve would form if it were bent around a circular arc at a particular section of a lens.

STEP 1: Convert Input(s) to Base Unit

Lens Refractive Index: 10 --> No Conversion Required
Radius of Curvature at Section 1: 1.67 Meter --> 1.67 Meter No Conversion Required
Radius of Curvature at Section 2: 8 Meter --> 8 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f_thinlens = 1/((μ_l-1)*(1/R₁-1/R₂)) --> 1/((10-1)*(1/1.67-1/8))

Evaluating ... ...

f_thinlens = 0.234509390907495

STEP 3: Convert Result to Output's Unit

0.234509390907495 Meter --> No Conversion Required

FINAL ANSWER

0.234509390907495 ≈ 0.234509 Meter <-- Focal Length of Thin Lens

(Calculation completed in 00.004 seconds)

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Created by Akshay

Maniapal University (MUJ), Jaipur

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National Institute Of Technology (NIT), Hamirpur

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< Lenses Calculators

Object Distance in Concave Lens

LaTeX Go Object Distance of Concave Lens = (Image Distance*Focal Length of Concave Lens)/(Image Distance-Focal Length of Concave Lens)

Object Distance in Convex Lens

LaTeX Go Object Distance of Convex Lens = (Image Distance*Focal Length of Convex Lens)/(Image Distance-(Focal Length of Convex Lens))

Magnification of Concave Lens

LaTeX Go Magnification of Concave Lens = Image Distance/Object Distance

Power of Lens

LaTeX Go Power of Lens = 1/Focal Length of Lens

Lens Makers Equation Formula

LaTeX Go

Focal Length of Thin Lens = 1/((Lens Refractive Index-1)*(1/Radius of Curvature at Section 1-1/Radius of Curvature at Section 2))
f_thinlens = 1/((μ_l-1)*(1/R₁-1/R₂))

What is lens maker formula why is it so called?

The lens maker's formula is an equation that relates the focal length of a lens to the radii of curvature of its surfaces and the refractive index of the lens material. It is called the lens maker's formula because it helps in designing and manufacturing lenses by determining how the lens will focus light based on its shape and material.

How to Calculate Lens Makers Equation?

Lens Makers Equation calculator uses Focal Length of Thin Lens = 1/((Lens Refractive Index-1)*(1/Radius of Curvature at Section 1-1/Radius of Curvature at Section 2)) to calculate the Focal Length of Thin Lens, Lens Makers Equation formula is defined as a mathematical relationship that describes the focal length of a thin lens in terms of the refractive indices of the lens material and the surrounding medium, and the radii of curvature of the lens surfaces, allowing for the calculation of the lens's focal length. Focal Length of Thin Lens is denoted by f_thinlens symbol.

How to calculate Lens Makers Equation using this online calculator? To use this online calculator for Lens Makers Equation, enter Lens Refractive Index (μ_l), Radius of Curvature at Section 1 (R₁) & Radius of Curvature at Section 2 (R₂) and hit the calculate button. Here is how the Lens Makers Equation calculation can be explained with given input values -> 0.234509 = 1/((10-1)*(1/1.67-1/8)).

FAQ

What is Lens Makers Equation?

Lens Makers Equation formula is defined as a mathematical relationship that describes the focal length of a thin lens in terms of the refractive indices of the lens material and the surrounding medium, and the radii of curvature of the lens surfaces, allowing for the calculation of the lens's focal length and is represented as f_thinlens = 1/((μ_l-1)*(1/R₁-1/R₂)) or Focal Length of Thin Lens = 1/((Lens Refractive Index-1)*(1/Radius of Curvature at Section 1-1/Radius of Curvature at Section 2)). Lens Refractive Index is a measure of the degree to which a lens bends light, dependent on the material and shape of the lens, affecting the focus and clarity of an image, Radius of Curvature at Section 1 is the radius of the curvature of the lens at a specific section, which is a critical parameter in lens design and optics & Radius of Curvature at Section 2 is the radius of the circle that a curve would form if it were bent around a circular arc at a particular section of a lens.

How to calculate Lens Makers Equation?

Lens Makers Equation formula is defined as a mathematical relationship that describes the focal length of a thin lens in terms of the refractive indices of the lens material and the surrounding medium, and the radii of curvature of the lens surfaces, allowing for the calculation of the lens's focal length is calculated using Focal Length of Thin Lens = 1/((Lens Refractive Index-1)*(1/Radius of Curvature at Section 1-1/Radius of Curvature at Section 2)). To calculate Lens Makers Equation, you need Lens Refractive Index (μ_l), Radius of Curvature at Section 1 (R₁) & Radius of Curvature at Section 2 (R₂). With our tool, you need to enter the respective value for Lens Refractive Index, Radius of Curvature at Section 1 & Radius of Curvature at Section 2 and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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