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Lens maker's formula

1/f = (μ − 1)(1/R₁ − 1/R₂)

Where: R₁ = Lens maker's formula, R₂ = R₂, f = frequency (Hz) / focal length (m), μ = refractive index / coefficient of friction

Solved example

Given: R_2 = 7, f = 5, mu = 10
Find: R_1 (Lens maker's formula)

  1. Formula: 1/f = (-1/R₂ + 1/R₁)·(μ - 1)
  2. Rearranged for R₁: R₁ = R₂·f·(μ - 1)/(R₂ + f·μ - f)
  3. Substitute the values: R₁ = 5·7·(10 - 1)/(10·5 - 5 + 7)
  4. Result: R₁ = 6.057692

Answer: R_1 = 6.057692

Calculator

How to calculate Lens maker's formula

  1. Write down the formula: 1/f = (μ − 1)(1/R₁ − 1/R₂).
  2. Note the known values (R₂, f, μ).
  3. Substitute them and simplify to find R_1.
  4. Use the calculator above to solve for any letter.

Frequently asked questions

What is the formula for Lens maker's formula?

The formula is 1/f = (μ − 1)(1/R₁ − 1/R₂), where R₁ = Lens maker's formula, R₂ = R₂, f = frequency (Hz) / focal length (m), μ = refractive index / coefficient of friction.

What is Lens maker's formula when R_2 = 7, f = 5, mu = 10?

R_1 = 6.057692. Substitute the values into 1/f = (μ − 1)(1/R₁ − 1/R₂) and simplify.

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