No approximation is required for this result, so it is exact. However, as discussed above, in the small-angle approximation, the focal length of a spherical mirror is one-half the radius of curvature of the mirror, or f = R/2 f = R / 2. Inserting this into Equation 2.3.8 2.3.8 gives the mirror equation:. Alternatively, if the sensor has already been chosen, the focal length can be determined directly from the FOV and WD by substituting Equation 1 in Equation 2, as shown in Equation 3. (3)f = (H× WD) FOV f = ( H × WD) FOV. As previously stated, some amount of flexibility to the system's WD should be factored in, as the above examples are.
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Transcript. The video explores the relationship between the size of an object and its image when viewed through a convex lens. It demonstrates that the ratio of the distance from the object to the lens, to the distance from the image to the lens, is the same as the ratio of the height of the object to the height of the image. Created by Sal Khan.. The video provides a detailed walkthrough of deriving the lens formula, which relates the object distance, image distance, and focal length in a convex lens. It uses similar triangles and algebraic manipulation to arrive at the formula \ [1/f = 1/d_0 + 1/d_i\], a key concept in optics for premed students. Created by Sal Khan.
