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Math Help - Camera picture calculation:

  1. #1
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    Camera picture calculation:

    Hi could someone please solve this with explanations, I am not very good at algebra. Thank you...

    PROBLEM:

    Camera
    Uses lens to focus object onto a sensor
    magnification m = image size / object size
    m = v / u
    where u=distance from object to lens
    v=distance from lens to image plane
    focal length is distance from lens to
    point where parallel rays converge

    1/f = 1/u + 1/v thus f =um /(m+1)

    For a camera with a sensor of
    dimensions 10 mm wide by 10 mm high,
    calculate the focal length required to
    form an image over the sensor of an
    object 20 cm wide by 20 cm high. The
    object is placed 1m from the lens.
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  2. #2
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    Quote Originally Posted by sunny155 View Post
    Hi could someone please solve this with explanations, I am not very good at algebra. Thank you...

    PROBLEM:

    Camera
    Uses lens to focus object onto a sensor
    magnification m = image size / object size
    m = v / u
    where u=distance from object to lens
    v=distance from lens to image plane
    focal length is distance from lens to
    point where parallel rays converge

    1/f = 1/u + 1/v thus f =um /(m+1)

    For a camera with a sensor of
    dimensions 10 mm wide by 10 mm high,
    calculate the focal length required to
    form an image over the sensor of an
    object 20 cm wide by 20 cm high. The
    object is placed 1m from the lens.
    1. Draw a sketch!

    2. Convert all measures into cm (or mm, that doesn't matter. But all measures must have the same dimension)

    3. You are dealing with isosceles triangles. First calculate v.

    4. Now calculate f using the given formulas.
    Attached Thumbnails Attached Thumbnails Camera picture calculation:-strahlenganglinse.png  
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