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Magnification Calculator

🔍 Light & optics. Use the Magnification formula to find magnification, image distance v, object distance u: pick the value you want, type the others, and the answer updates as you go.

m=hiho=−vum = \dfrac{h_i}{h_o} = -\dfrac{v}{u}

Negative = the image is upside down.

Magnification-0.668

Pick the ○ next to the value you want to find, fill in the others, and it solves as you type.

What each letter means

QuantityUnit
Magnificationno unit
Image distance vcm
Object distance ucm

Worked example

Find the magnification when Image distance v = 16.7 cm, Object distance u = 25 cm.

Using m = hi/ho = -v/u: Magnification = -0.668.

Frequently asked questions

What is the formula for Magnification?

m = hi/ho = -v/u. Negative = the image is upside down.

What do the letters stand for, and what units are used?

Magnification, Image distance v in cm, Object distance u in cm.

How do you calculate magnification?

Put the values into m = hi/ho = -v/u. For example, with Image distance v = 16.7 cm, Object distance u = 25 cm, magnification = -0.668.

Can I solve for a different value?

Yes. In the calculator above, pick the circle next to any value (magnification, image distance v, object distance u) and fill in the others: it rearranges the formula for you.

All physics formulas in the Physics Formulas See it in the Lenses & Light simulation