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Lens Calculator

Thin-lens equation and magnification.

Private — runs in your browser Instant results

Image distance (dᵢ)

15.0000

cm
1/f = 1/dₒ + 1/dᵢ

Introduction

Solve the thin-lens formula 1/f = 1/do + 1/di for object and image distances. Get magnification and image type for converging and diverging lenses. Use The Daily Tools' Lens Calculator for private, browser-based processing — no account or server upload required.

What is Lens Calculator?

Lens Calculator helps you thin-lens equation and magnification. It belongs to the Optics group within physics tools on The Daily Tools. Enter your values and review the result with the assumptions shown on the page.

Definition: Lens Calculator is a free, browser-based calculator for thin-lens equation and magnification.

Formula

1/f = 1/d_o + 1/d_i; M = −d_i ÷ d_o

Calculation steps

  1. The core formula: 1/f = 1/d_o + 1/d_i; M = −d_i ÷ d_o
  2. Enter your values in the fields above — units and assumptions are under your control.
  3. The Daily Tools computes the result instantly in your browser using JavaScript.
  4. Review the result panel for the primary output and supporting breakdown values.

Worked example

Example: Using the Lens Calculator

Inputs: Enter values relevant to optics — for example, the measurements or amounts described in the tool fields above.

  1. Open the Lens Calculator and review the input fields.
  2. Apply the formula: 1/f = 1/d_o + 1/d_i; M = −d_i ÷ d_o
  3. Adjust inputs to compare scenarios side by side.

You receive an immediate thin-lens equation and magnification — useful for planning and comparison.

Use cases

  • Working through a optics question with clear inputs
  • Comparing inputs in the Lens Calculator
  • Using a focused tool instead of a general spreadsheet or manual calculation

Advantages

  • Browser-based processing — entered values and selected files are not sent to our servers
  • No account required
  • Instant results with a clean, readable interface
  • Transparent formula shown on this page

Limitations

  • Results are estimates and do not replace professional advice
  • Results are not saved by this tool after you leave or refresh the page

Frequently asked questions

Is the Lens Calculator free to use?
Yes. Lens Calculator on The Daily Tools is completely free, requires no account, and runs entirely in your browser.
Does The Daily Tools store my inputs?
No. Your numbers and text never leave your device. The Daily Tools has no backend database for calculator inputs.
Who should use the Lens Calculator?
Anyone who needs a clear physics calculation and wants to check the assumptions used.
How accurate is the Lens Calculator?
Results follow the standard formula shown on this page. They are estimates for planning — not a substitute for professional advice.
Can I use the Lens Calculator on mobile?
Yes. The Daily Tools is fully responsive and works on phones, tablets, and desktops.

Sources & references

Key points

  • Lens Calculator is a free, browser-based calculator for thin-lens equation and magnification.
  • Formula: 1/f = 1/d_o + 1/d_i; M = −d_i ÷ d_o
  • Private, browser-only processing
  • Private, browser-based processing