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The Mike Hodson illustration Mike posted is pretty good.
But, the 3rd fame showing the effect on DoF of different focal lengths is mis-leading.
The 'person' 15 feet from each focal length lens will be a different size in the image frame (viewfinder) of each focal length lens. The 'person' will be smallest in the image frame when the 24 mm lens is used, and largest when using the 75 mm lens.
In practice, as Mike mentioned above, with a longer focal length we back up away from our subject to keep the subject the same size in the frame. That makes the distance to the focus point longer.
So to keep the subject the same size in the frame using all 3 focal lengths, the subject would be - 5 feet from the 24 mm lens - 10.5 feet from the 50 mm lens - and 16 feet from the 75 mm lens.
With all 3 lenses in the example set to f/4, and with the subject at the distances I quoted, the total DoF for each lens is right about 2 feet.
Here is the important point to understand about the longer focus point distance using a longer focal length, while keeping subject scale constant in the image frame. The total DoF for each lens is the same,but the magnification of the background isn't.
The 75 mm lens magnifies the background a lot more than the 24 mm lens does. The background of the photo made using the 24 mm lens is blurred, but those blurred background elements are smaller in the frame when compared to the background the 75 mm lens magnified. so the blurred background elements from the 75 mm lens are much larger, making them look like they were blurred more. But, they weren't, they're just bigger from being more magnified.
But, the 3rd fame showing the effect on DoF of different focal lengths is mis-leading.
The 'person' 15 feet from each focal length lens will be a different size in the image frame (viewfinder) of each focal length lens. The 'person' will be smallest in the image frame when the 24 mm lens is used, and largest when using the 75 mm lens.
In practice, as Mike mentioned above, with a longer focal length we back up away from our subject to keep the subject the same size in the frame. That makes the distance to the focus point longer.
So to keep the subject the same size in the frame using all 3 focal lengths, the subject would be - 5 feet from the 24 mm lens - 10.5 feet from the 50 mm lens - and 16 feet from the 75 mm lens.
With all 3 lenses in the example set to f/4, and with the subject at the distances I quoted, the total DoF for each lens is right about 2 feet.
Here is the important point to understand about the longer focus point distance using a longer focal length, while keeping subject scale constant in the image frame. The total DoF for each lens is the same,but the magnification of the background isn't.
The 75 mm lens magnifies the background a lot more than the 24 mm lens does. The background of the photo made using the 24 mm lens is blurred, but those blurred background elements are smaller in the frame when compared to the background the 75 mm lens magnified. so the blurred background elements from the 75 mm lens are much larger, making them look like they were blurred more. But, they weren't, they're just bigger from being more magnified.