Focal Length of Convex Lens given Object and Image Distance Calculator

✖Object Distance is the distance between an object and the lens of an optical instrument, such as a camera or microscope, which affects the magnification and focus of the image.ⓘ Object Distance [u]			+10% -10%
✖Image Distance is the distance between the image sensor and the lens in an optical system, affecting the magnification and quality of the resulting image.ⓘ Image Distance [v]			+10% -10%

✖Focal Length of Convex Lens is the distance between the lens's vertex and the focal point, which is the point where parallel rays of light converge after passing through the lens.ⓘ Focal Length of Convex Lens given Object and Image Distance [f_{convex lens}]

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Formula

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Focal Length of Convex Lens given Object and Image Distance

Formula

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

Example

-0.207692 m = - \frac{0.90 m \cdot 0.27 m}{0.90 m + 0.27 m}

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Focal Length of Convex Lens given Object and Image Distance Solution

STEP 0: Pre-Calculation Summary

Formula Used

Focal Length of Convex Lens = -(Object Distance*Image Distance)/(Object Distance+Image Distance)
f_{convex lens} = -(u*v)/(u+v)
This formula uses 3 Variables

Variables Used

Focal Length of Convex Lens - (Measured in Meter) - Focal Length of Convex Lens is the distance between the lens's vertex and the focal point, which is the point where parallel rays of light converge after passing through the lens.
Object Distance - (Measured in Meter) - Object Distance is the distance between an object and the lens of an optical instrument, such as a camera or microscope, which affects the magnification and focus of the image.
Image Distance - (Measured in Meter) - Image Distance is the distance between the image sensor and the lens in an optical system, affecting the magnification and quality of the resulting image.

STEP 1: Convert Input(s) to Base Unit

Object Distance: 0.9 Meter --> 0.9 Meter No Conversion Required
Image Distance: 0.27 Meter --> 0.27 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f_{convex lens} = -(u*v)/(u+v) --> -(0.9*0.27)/(0.9+0.27)

Evaluating ... ...

f_{convex lens} = -0.207692307692308

STEP 3: Convert Result to Output's Unit

-0.207692307692308 Meter --> No Conversion Required

FINAL ANSWER

-0.207692307692308 ≈ -0.207692 Meter <-- Focal Length of Convex 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 of Convex Lens given Object and Image Distance Formula

Focal Length of Convex Lens = -(Object Distance*Image Distance)/(Object Distance+Image Distance)
f_{convex lens} = -(u*v)/(u+v)

What is Image Distance?

Image Distance refers to the distance between a lens or mirror and the image it forms. This concept is crucial in optics as it determines where the image appears relative to the optical device. It influences whether the image is real or virtual and affects the clarity and size of the image seen through the optical system.

How to Calculate Focal Length of Convex Lens given Object and Image Distance?

Focal Length of Convex Lens given Object and Image Distance calculator uses Focal Length of Convex Lens = -(Object Distance*Image Distance)/(Object Distance+Image Distance) to calculate the Focal Length of Convex Lens, Focal Length of Convex Lens given Object and Image Distance formula is defined as a measure of the distance between the optical center of a convex lens and the point where the image is formed, given the object distance and image distance, which is essential in understanding the behavior of light in optical systems. Focal Length of Convex Lens is denoted by f_{convex lens} symbol.

How to calculate Focal Length of Convex Lens given Object and Image Distance using this online calculator? To use this online calculator for Focal Length of Convex Lens given Object and Image Distance, enter Object Distance (u) & Image Distance (v) and hit the calculate button. Here is how the Focal Length of Convex Lens given Object and Image Distance calculation can be explained with given input values -> -0.207692 = -(0.9*0.27)/(0.9+0.27).

FAQ

What is Focal Length of Convex Lens given Object and Image Distance?

Focal Length of Convex Lens given Object and Image Distance formula is defined as a measure of the distance between the optical center of a convex lens and the point where the image is formed, given the object distance and image distance, which is essential in understanding the behavior of light in optical systems and is represented as f_{convex lens} = -(u*v)/(u+v) or Focal Length of Convex Lens = -(Object Distance*Image Distance)/(Object Distance+Image Distance). Object Distance is the distance between an object and the lens of an optical instrument, such as a camera or microscope, which affects the magnification and focus of the image & Image Distance is the distance between the image sensor and the lens in an optical system, affecting the magnification and quality of the resulting image.

How to calculate Focal Length of Convex Lens given Object and Image Distance?

Focal Length of Convex Lens given Object and Image Distance formula is defined as a measure of the distance between the optical center of a convex lens and the point where the image is formed, given the object distance and image distance, which is essential in understanding the behavior of light in optical systems is calculated using Focal Length of Convex Lens = -(Object Distance*Image Distance)/(Object Distance+Image Distance). To calculate Focal Length of Convex Lens given Object and Image Distance, you need Object Distance (u) & Image Distance (v). With our tool, you need to enter the respective value for Object Distance & Image Distance and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Focal Length of Convex Lens?

In this formula, Focal Length of Convex Lens uses Object Distance & Image Distance. We can use 1 other way(s) to calculate the same, which is/are as follows -

Focal Length of Convex Lens = -(Radius)/(Refractive Index-1)

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