The formula for the maximum focus range or hyperfocal distance, H, of a camera is given by, H=L^2/f*c where L is the focal length of the lens, f is the setting on the camera to reduce or enlarge the aperture, and c is the diameter of the circle of least confusion. Which of the following expresses this same relationship between the quantities in terms of the focal length of the lens?

Question

Kyla Friedman

Mathematics

26 August, 07:17

The formula for the maximum focus range or hyperfocal distance, H, of a camera is given by, H=L^2/f*c where L is the focal length of the lens, f is the setting on the camera to reduce or enlarge the aperture, and c is the diameter of the circle of least confusion. Which of the following expresses this same relationship between the quantities in terms of the focal length of the lens?

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Answers (1)

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Madden Larsen · Answer 1

We are given the formula

H=L² / f*c

where

H = maximum focus range/hyperfocal distance

L = focal length of the lens

f = setting on the camera to reduce or enlarge the aperture

c = diameter of the circle of least confusion

We are to express the equation with the focal length on the left side.

So,

H f c = L ²

L = √Hfc