Focal Length using Distance Formula Calculator

✖Focal Length 1 is the distance between the center of a lens and its focal point, which is the point where parallel light rays converge, used to calculate the magnification of an object.ⓘ Focal Length 1 [f₁]			+10% -10%
✖Focal Length 2 is the distance between the vertex of a lens and its focal point, which is the point where parallel rays of light converge after passing through the lens.ⓘ Focal Length 2 [f₂]			+10% -10%
✖Width of Lens is the horizontal distance of a lens, which is a curved piece of glass or plastic used in optical instruments, such as cameras, telescopes, and microscopes, to focus light.ⓘ Width of Lens [w]			+10% -10%

✖Focal Length of Lens is the distance between the lens's optical center and the image sensor, determining the lens's angle of view and the magnification of the image.ⓘ Focal Length using Distance Formula [f]

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Formula

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Focal Length using Distance Formula

Formula

f = \frac{f 1 + f 2 - w}{f 1 \cdot f 2}

Example

2.239583 m = \frac{0.40 m + 0.48 m - 0.45 m}{0.40 m \cdot 0.48 m}

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Focal Length using Distance Formula Solution

STEP 0: Pre-Calculation Summary

Formula Used

Focal Length of Lens = (Focal Length 1+Focal Length 2-Width of Lens)/(Focal Length 1*Focal Length 2)
f = (f₁+f₂-w)/(f₁*f₂)
This formula uses 4 Variables

Variables Used

Focal Length of Lens - (Measured in Meter) - Focal Length of Lens is the distance between the lens's optical center and the image sensor, determining the lens's angle of view and the magnification of the image.
Focal Length 1 - (Measured in Meter) - Focal Length 1 is the distance between the center of a lens and its focal point, which is the point where parallel light rays converge, used to calculate the magnification of an object.
Focal Length 2 - (Measured in Meter) - Focal Length 2 is the distance between the vertex of a lens and its focal point, which is the point where parallel rays of light converge after passing through the lens.
Width of Lens - (Measured in Meter) - Width of Lens is the horizontal distance of a lens, which is a curved piece of glass or plastic used in optical instruments, such as cameras, telescopes, and microscopes, to focus light.

STEP 1: Convert Input(s) to Base Unit

Focal Length 1: 0.4 Meter --> 0.4 Meter No Conversion Required
Focal Length 2: 0.48 Meter --> 0.48 Meter No Conversion Required
Width of Lens: 0.45 Meter --> 0.45 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f = (f₁+f₂-w)/(f₁*f₂) --> (0.4+0.48-0.45)/(0.4*0.48)

Evaluating ... ...

f = 2.23958333333333

STEP 3: Convert Result to Output's Unit

2.23958333333333 Meter --> No Conversion Required

FINAL ANSWER

2.23958333333333 ≈ 2.239583 Meter <-- Focal Length of Lens

(Calculation completed in 00.004 seconds)

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National Institute of Technology (NIT), Jamshedpur

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< Lenses Calculators

Object Distance in Concave Lens

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

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

Magnification of Concave Lens

Go Magnification of Concave Lens = Image Distance/Object Distance

Power of Lens

Go Power of Lens = 1/Focal Length of Lens

Focal Length using Distance Formula Formula

Focal Length of Lens = (Focal Length 1+Focal Length 2-Width of Lens)/(Focal Length 1*Focal Length 2)
f = (f₁+f₂-w)/(f₁*f₂)

What is a curved mirror?

A curved mirror is a mirror with a reflective surface that is either concave or convex. Concave mirrors curve inward and can focus light to a point, making them useful in applications like shaving mirrors and telescopes. Convex mirrors curve outward and cause light to diverge, providing a wider field of view, commonly used in vehicle side mirrors and security applications.

How to Calculate Focal Length using Distance Formula?

Focal Length using Distance Formula calculator uses Focal Length of Lens = (Focal Length 1+Focal Length 2-Width of Lens)/(Focal Length 1*Focal Length 2) to calculate the Focal Length of Lens, Focal Length using Distance Formula is defined as a method to determine the focal length of a lens in an optical system, considering the distance between the object and the image, and the magnification power of the lens, providing an essential parameter for optical design and imaging applications. Focal Length of Lens is denoted by f symbol.

How to calculate Focal Length using Distance Formula using this online calculator? To use this online calculator for Focal Length using Distance Formula, enter Focal Length 1 (f₁), Focal Length 2 (f₂) & Width of Lens (w) and hit the calculate button. Here is how the Focal Length using Distance Formula calculation can be explained with given input values -> 2.239583 = (0.4+0.48-0.45)/(0.4*0.48).

FAQ

What is Focal Length using Distance Formula?

Focal Length using Distance Formula is defined as a method to determine the focal length of a lens in an optical system, considering the distance between the object and the image, and the magnification power of the lens, providing an essential parameter for optical design and imaging applications and is represented as f = (f₁+f₂-w)/(f₁*f₂) or Focal Length of Lens = (Focal Length 1+Focal Length 2-Width of Lens)/(Focal Length 1*Focal Length 2). Focal Length 1 is the distance between the center of a lens and its focal point, which is the point where parallel light rays converge, used to calculate the magnification of an object, Focal Length 2 is the distance between the vertex of a lens and its focal point, which is the point where parallel rays of light converge after passing through the lens & Width of Lens is the horizontal distance of a lens, which is a curved piece of glass or plastic used in optical instruments, such as cameras, telescopes, and microscopes, to focus light.

How to calculate Focal Length using Distance Formula?

Focal Length using Distance Formula is defined as a method to determine the focal length of a lens in an optical system, considering the distance between the object and the image, and the magnification power of the lens, providing an essential parameter for optical design and imaging applications is calculated using Focal Length of Lens = (Focal Length 1+Focal Length 2-Width of Lens)/(Focal Length 1*Focal Length 2). To calculate Focal Length using Distance Formula, you need Focal Length 1 (f₁), Focal Length 2 (f₂) & Width of Lens (w). With our tool, you need to enter the respective value for Focal Length 1, Focal Length 2 & Width of Lens 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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