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Larrytsai
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I need to learn how to graph do=1/(f -1/di) like i have my measurements and when i plug in my di i get a do so what do i do with my old do?
Larrytsai said:do=1/(f -1/di)
Tom Mattson said:Are you sure that's the correct equation? Shouldn't it be the following?
[tex]d_o=\frac{fd_i}{d_i-f}[/tex]
The thin lens equation is a mathematical formula used to calculate the relationship between the distance of an object from a lens, the distance of an image formed by the lens, and the focal length of the lens. It is represented as 1/o + 1/i = 1/f, where o is the object distance, i is the image distance, and f is the focal length of the lens.
To graph a lens using the thin lens equation, you will need to plot the object distance, image distance, and focal length on a coordinate plane. Then, using the equation 1/o + 1/i = 1/f, solve for the missing variable. This will give you the coordinates for the image point, which you can then plot on the graph.
The focal length in the thin lens equation is a measure of the strength or power of the lens. It determines how much the light rays are bent as they pass through the lens, and thus, it affects the size and position of the image formed by the lens. A shorter focal length results in a more powerful lens, while a longer focal length results in a weaker lens.
The thin lens equation is based on several assumptions, such as the lens being thin, the object and image being on the same side of the lens, and the light rays passing through the center of the lens. These assumptions may not hold true in some cases, leading to inaccuracies in the calculated image position. Additionally, the equation does not take into account factors such as lens imperfections and the wavelength of light.
The thin lens equation is used in various fields, including optics, physics, and engineering. It is used to design and analyze optical systems, such as camera lenses and eyeglasses. It is also used in medical imaging techniques, such as x-rays and MRI scans, to determine the position and magnification of images formed by lenses. Additionally, the thin lens equation is used in the production of microscopes, telescopes, and other optical instruments.