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Lens Makers Equation Formula

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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. Check FAQs

f thinlens = \frac{1}{(μ l - 1) \cdot (\frac{1}{R 1} - \frac{1}{R 2})}

f_thinlens - Focal Length of Thin Lens?μ_l - Lens Refractive Index?R₁ - Radius of Curvature at Section 1?R₂ - Radius of Curvature at Section 2?

Lens Makers Equation Example

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Here is how the Lens Makers Equation equation looks like with Values.

Here is how the Lens Makers Equation equation looks like with Units.

Here is how the Lens Makers Equation equation looks like.

0.2345 = \frac{1}{(10 - 1) \cdot (\frac{1}{1.67} - \frac{1}{8})}

0.2345m = \frac{1}{(10 - 1) \cdot (\frac{1}{1.67m} - \frac{1}{8m})}

0.2345 = \frac{1}{(10 - 1) \cdot (\frac{1}{1.67} - \frac{1}{8})}

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Lens Makers Equation Solution

Follow our step by step solution on how to calculate Lens Makers Equation?

FIRST Step Consider the formula

f thinlens = \frac{1}{(μ l - 1) \cdot (\frac{1}{R 1} - \frac{1}{R 2})}

Next Step Substitute values of Variables

∴

f thinlens = \frac{1}{(10 - 1) \cdot (\frac{1}{1.67m} - \frac{1}{8m})}

Next Step Prepare to Evaluate

∴

f thinlens = \frac{1}{(10 - 1) \cdot (\frac{1}{1.67} - \frac{1}{8})}

Next Step Evaluate

∴

f thinlens = 0.234509390907495m

LAST Step Rounding Answer

∴

f thinlens = 0.2345m

Lens Makers Equation Formula Elements

Variables

Focal Length of Thin Lens

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.

Symbol: f_thinlens

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Focal Length of Thin 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.

Symbol: μ_l

Measurement: NAUnit: Unitless

Note: Value should be between 1 to 107.

Formulas to find Lens Refractive Index

Radius of Curvature at Section 1

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.

Symbol: R₁

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Curvature at Section 1

Radius of Curvature at Section 2

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.

Symbol: R₂

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Curvature at Section 2

Other formulas in Lenses category

Go Power of Lens

P = \frac{1}{f}

Go Object Distance in Concave Lens

u concave = \frac{v \cdot f concave lens}{v - f concave lens}

Go Object Distance in Convex Lens

u convex = \frac{v \cdot f convex lens}{v - (f convex lens)}

Go Magnification of Concave Lens

m concave = \frac{v}{u}

How to Evaluate Lens Makers Equation?

Lens Makers Equation evaluator 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 evaluate 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 evaluate Lens Makers Equation using this online evaluator? To use this online evaluator 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.

FAQs on Lens Makers Equation

What is the formula to find Lens Makers Equation?

The formula of Lens Makers Equation is expressed as Focal Length of Thin Lens = 1/((Lens Refractive Index-1)*(1/Radius of Curvature at Section 1-1/Radius of Curvature at Section 2)). Here is an example- 0.234509 = 1/((10-1)*(1/1.67-1/8)).

How to calculate Lens Makers Equation?

With Lens Refractive Index (μ_l), Radius of Curvature at Section 1 (R₁) & Radius of Curvature at Section 2 (R₂) we can find Lens Makers Equation using the formula - Focal Length of Thin Lens = 1/((Lens Refractive Index-1)*(1/Radius of Curvature at Section 1-1/Radius of Curvature at Section 2)).

Can the Lens Makers Equation be negative?

Yes, the Lens Makers Equation, measured in Length can be negative.

Which unit is used to measure Lens Makers Equation?

Lens Makers Equation is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Lens Makers Equation can be measured.

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Lens Makers Equation Formula

Lens Makers Equation Example

Lens Makers Equation Solution

Lens Makers Equation Formula Elements

Other formulas in Lenses category

How to Evaluate Lens Makers Equation?

FAQs on Lens Makers Equation

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