Total Magnification
Total magnification of a compound microscope.
Formula
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Example
40× × 10× = 400×
How it works
In a compound microscope, the objective lens enlarges the image first, and the eyepiece lens enlarges that already-magnified image again. Because these two magnifying effects happen one after the other, the overall magnification is found by multiplying the objective magnification by the eyepiece magnification. This tells you how many times larger the final image appears compared with the actual specimen.
When to use it
Use this formula when interpreting microscope settings or reporting how much a specimen is magnified in a biology lab. It is especially useful for choosing a lens combination and estimating whether small structures like cells, organelles, or tissue details will be visible clearly.
Worked example, step by step
Objective magnification = 20× Eyepiece magnification = 12× M = M_obj × M_eye M = 20 × 12 M = 240 Total magnification = 240×
Common mistakes to avoid
- Adding the objective and eyepiece magnifications instead of multiplying them
- Using the total magnification to judge image clarity or resolution, which are different from magnification
- Forgetting that changing either lens changes the final magnification of the microscope
Did You Know?
The compound microscope multiplied by its objective and eyepiece can reveal structures smaller than a wavelength of light.
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