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I'm looking for a 50mm lens for my nikon d3100 and I just came across an AF-S 50mm f/1.8G lens and it says in the description that if it's used on a DX camera, the angle of view is going to be 75mm. I don't understand... I want my angle of view to be around 50mm, not 75, but I was also looking for something that will autofocus on my camera. Can someone explain this?

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marked as duplicate by Itai, NickM, Paul Cezanne, jwenting, dpollitt Feb 17 '13 at 21:08

This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.

Also, try the exercise in my answer to "What is “angle of view” in photography?". That should make it really clear. And you're right; if you want a "normal" field of view on a DX-format camera, you need something wider. – mattdm Feb 12 '12 at 21:32
Another question asking basically the same thing:… – mattdm Feb 12 '12 at 21:32
Just for reference, there's a great site that speaks volumes about sensor size and what it means to you: – Steve Ross Feb 13 '12 at 2:12

Imagine you have an FX camera (or old film camera) with a 50mm lens, and take a picture. Then in post processing, you crop out the edges. You would still have an image with the same perspective of the 50mm lens, but by cropping you've effectively zoomed in on the subject/middle of your image.

This is basically what happens with a cropped sensor. Same 50mm lens, same image projected onto the sensor, but the sensor being smaller (DX), you only get a smaller part of that projection.

So the perspective and DOF is like a 50mm lens, but the subject area you get is roughly like having a 75mm lens (on a film or FX body) due to the zooming/cropping effect.

As an example, if you are shooting a full body shot of a person, or a statue in a museum, film camera and 50mm lens, and then switch to a DX body and 50mm lens, you will have to stand further back in order to get the same framing. If you want to be the same distance as you were with your FX + 50mm lens, you'd need something like a 35mm lens on a DX body.

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Great answer. I would clarify the bit about perspective, though. The perspective and DOF are only the same if you frame the FF shot such that it could be cropped identically to a similar APS-C shot. If you frame the image as best as possible for the format you are using, the perspective and DOF would be different on FF than on APS-C. – jrista Feb 17 '13 at 20:14

No. A 50mm lens will always be a 50mm lens, irrespective of the size of the recording medium.
That said, the scene recorded on a smaller medium will have a narrower angle of view, which for an APS-C size sensor equates to an image that has about the same viewport as that produced by a lens with a 1/3 smaller focal length on a 35mm film frame.
Everything else (especially depth of field and telephoto compression) is however completely unchanged.

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The accepted definition of Depth of Field refers to a fixed final output size, so yes depth of field does change when using a smaller sensor as you are required to blow up the image more than with a large sensor. – Matt Grum Feb 12 '12 at 8:37
Same with telephoto compression; nicely explained here:… – mattdm Feb 12 '12 at 23:50
mattdm: not found – Michael Nielsen Feb 17 '13 at 15:58

If you are looking for cheap autofocus 50mm lens for your DX camera, the Nikon 35mm 1.8G is very good, and is a 50mm equivalent on DX (35mm * 1.5 = 52.5mm)

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