How Does Focal Length Affect the Focus Point of a Lens?

[asa!!]

Hi .I am reall y confused about the focal length of lens.i understand that it is the length from the lens to the point where parallel beams coming from infinity after passing through the lens cross one each other.My question ,knowing thew focal length wher exactly does it help?does it have any relation with the point where the lens focuses?a lens with a focal length of , let's say 30mm in comparaison to one with 100mm ,what diffrenece they have especially as far as the point of focus (the distance where the image of an object is focused).thank you very much.look forward

 

[Doc Al]

The focal length is a property of a lens that tells you how it focuses light. If the lens is thin, the action of a lens is described by the "thin lens equation":
$$\frac{1}{o} + \frac{1}{i} = \frac{1}{f}$$

where $o$ is the distance from the object to the lens, $i$ is the distance from the lens to the image, and $f$ is the focal length of the lens. Parallel rays hitting the lens are equivalent to an object an infinite distance away; in that special case, the rays are focused at the "focal point" which is a distance $i = f$ from the lens.

Here's more about lenses: http://hyperphysics.phy-astr.gsu.edu/hbase/geoopt/lenseq.html

 

[El Hombre Invisible]

Hi .I am reall y confused about the focal length of lens.i understand that it is the length from the lens to the point where parallel beams coming from infinity after passing through the lens cross one each other.My question ,knowing thew focal length wher exactly does it help?does it have any relation with the point where the lens focuses?a lens with a focal length of , let's say 30mm in comparaison to one with 100mm ,what diffrenece they have especially as far as the point of focus (the distance where the image of an object is focused).thank you very much.look forward

Basically, the shorter the focal length, the stronger the lens. If you have a source from infinity passing through a converging lens, a stronger lens will focus the parallel rays at a shorter distance than a weaker one. Likewise if the parallel rays pass through a diverging lens, the virtual object will appear closer to the stronger lens than the shorter one. So the focal length is really a measure of how strongly refracted the light will be.

 

[fizixx]

Lens Link

asa...

Here is a good link that will help illustrate how the focal length, image distance and object distance are all related.

http://www.hazelwood.k12.mo.us/~grichert/optics/intro.html

This is one of those physics concepts that really makes more sense mathematically. Unfortunately many folks get confused and immediately wish to rely on the visual instead of making that leap into the more abstract.

You can work with this link in real time. Meaning, you can add lenses and mirrors and an object and move them all around and see what is happening. Very instructive, but deceptively simple. Meaning, you can see how troublesome the concept is to grasp, but with this tool it quickly and easily does the math-work for you.

A drawback is that it's a bit small and you can't get too complicated with your 'designs', but hopefully you will find it helpful and useful.

Enjoy and keep thinking!


fizixx