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Total Magnification Calculator

Result

400×

Result: 400 ×

Total magnification is the objective times the eyepiece: a 40× objective with a 10× eyepiece gives 400×. Some stands add a third factor — a tube lens of 1.25× or 1.5×; multiply that in yourself, this calculator uses the two named lenses. Magnification is not resolution.

The numbers at a glance

Held fixed: Objective magnification 40.00 ×.

Eyepiece magnification (×)Result (×)
2.50100
5.00200
7.50300
10.00Your value400
12.50500
15.00600
17.50700
20.00800

Worked examples

How it's calculated

Total = objective × eyepiece

  1. StepRead the number printed on the objective you swung into place.
  2. StepRead the number on the eyepiece you look through — usually 10×.
  3. ResultMultiply the two, then add any tube factor your stand has.

What this number means

A compound microscope magnifies twice over. The objective forms an enlarged image inside the tube and the eyepiece enlarges that image again, so the two factors compound rather than add, and the total is their product. With the defaults, a 40× objective under a 10× eyepiece gives 400×, the working setting of almost every school microscope. Because the eyepiece is a fixed 10× on most stands, the entire range comes out of the turret: 4×, 10×, 40× and 100× against that eyepiece produce 40×, 100×, 400× and 1000×. The total is therefore a property of the current setting rather than of the instrument, and it changes with every click of the nosepiece. What the product does not record is which pair produced it. The objective decides what you are actually doing — finding the specimen, surveying tissue, working dry at high power or going into oil — so two pairings that reach the same total are not the same view. The limitation sits in the second field. This page multiplies exactly the two lenses you name, and some stands carry a third element between them, an intermediate or tube lens of 1.25× or 1.5×, printed on the body. There is deliberately no field for it: a default of 1 would be dead weight on the great majority of microscopes, and a silently built-in 1.25 would be plainly wrong on every stand without such a lens. Check your own and multiply it in.

Magnification is not resolution

Magnification only makes the image larger; resolution decides how much detail is there at all. Past a point you get a bigger blur — empty magnification — and no new detail.

A tube lens would be a third factor

Some stands carry an intermediate lens of 1.25× or 1.5× between objective and eyepiece, printed on the stand. This calculator takes the two lenses you name, so multiply that factor in yourself.

Magnification has no unit

It is a ratio, written with a multiplication sign as in 400×. At 400× the specimen looks 400 times larger than to the unaided eye.

Commonly misread

A 1000× oil-immersion view shows more detail than 400×.

It shows a larger image, not automatically a sharper one — resolution decides the detail. Beyond that limit you only magnify the blur.

Objective and eyepiece are added together.

They are multiplied: a 40× objective with a 10× eyepiece gives 400×.

The 400× I get here is what my stand really delivers.

Only when there is no tube lens. An intermediate lens of 1.25× or 1.5× multiplies on top, and this calculator uses just the two named lenses.

Reference table

Objective, eyepieceWhat it is forTotal
4, 10Scanning, finding the specimen40
10, 10Low power, tissue overview100
40, 10High dry, cells and nuclei400
60, 15High dry with a wide-field eyepiece900
100, 10Oil immersion, bacteria1000

Questions

How do I calculate the total magnification of a microscope?

Multiply the objective magnification by the eyepiece magnification. On a compound light microscope with a 40× objective and a 10× eyepiece the total is 400×.

What if my microscope has a tube or intermediate lens?

Then the total is objective × eyepiece × tube factor, and that factor is usually 1.25× or 1.5× printed on the stand. This calculator takes the two lenses you name, so multiply the tube factor in afterwards.

Which objective and eyepiece combinations are common?

Most school and lab microscopes pair a 10× eyepiece with 4×, 10×, 40× and 100× objectives, giving 40×, 100×, 400× and 1000×. The 100× oil-immersion objective is the strongest on a typical light microscope.

Does higher magnification always mean a clearer image?

No. Magnification only makes the image larger, while resolution decides how much detail is actually there. Past a point you get a bigger blur — empty magnification — and no new detail.

What unit does magnification use?

None. Magnification is a ratio and is written with a multiplication sign, as in 400×, meaning the specimen looks 400 times larger than to the unaided eye.

Sources and last check

  1. bio.libretexts.org

Information, not professional advice.