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Converging Thin Lens: Positive focal length Calculator

Converging Thin Lens: Calculate positive focal length from Real object distance, Real image distance. Check the formula, input units and worked result on this page.

Enter your values

m
Formula symbol: u. Required unit: m. Must be greater than zero.
m
Formula symbol: vᵢ. Required unit: m. Must be greater than zero.

Use a decimal point, without thousands separators.

This model uses positive magnitudes. This is the real-object, real-image branch of a converging thin lens; both distances exceed focal length. Measure from the lens in one unit; virtual images and thick lenses are excluded.
Example result
Positive focal length
0.18 m

The initial result uses the example values. Enter your own values and calculate again.

Edit inputs

How it works

Use converging thin lens with the units stated beside the fields. This form solves for positive focal length; enter the known quantities in Real object distance, Real image distance.

Inputs and units
Converging Thin Lens: Positive focal length Calculator · Inputs and units
InputExample valueWhat to enter
Real object distance0.30000000000000004 mFormula symbol: u. Required unit: m. Must be greater than zero.
Real image distance0.44999999999999996 mFormula symbol: vᵢ. Required unit: m. Must be greater than zero.
fₗ = ((u × vᵢ) / (u + vᵢ))

Worked example

Show example inputs and results

This example is generated by the same calculation engine using the starting values in the form. Your own inputs produce your own result.

Real object distance
0.30000000000000004 m
Real image distance
0.44999999999999996 m

Complete example results

Positive focal length
0.18 m

Reading the result

The result solves for positive focal length from the entered quantities. Check the result unit and the formula conditions before using it.

Questions and answers

Can I use the example values for my own calculation?

The example values illustrate the calculation. Replace every input with your own information, especially dates, rates and the selected operation.

When can I use the positive focal length result?

This model uses positive magnitudes. This is the real-object, real-image branch of a converging thin lens; both distances exceed focal length. Measure from the lens in one unit; virtual images and thick lenses are excluded.

Why are some results rounded?

Results display up to 8 decimal places. Calculations use the unrounded values; very small values use scientific notation. JavaScript floating-point arithmetic can introduce tiny rounding differences.

Are my inputs sent to a server?

The calculator processes inputs in your browser. Its code does not send your values to a server.

Method sources: openstax.org

Methods & accuracy

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