When you solder electronic components, you want to keep your face away from the work but still be able to see it clearly, so you use a soldering stationwith a built-in lens. Clips hold the work you are soldering, and a flexible arm holds the lens above the work. You view the work from some distance, but the area under the lens is magnified enough that you can see fine details. A typical magnifier is rated at 3×. How far from the work should the lens be placed?

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter38: Refraction And Images Formed By Refraction
Section: Chapter Questions
Problem 58PQ
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When you solder electronic components, you want to keep your face away from the work but still be able to see it clearly, so you use a soldering station
with a built-in lens. Clips hold the work you are soldering, and a flexible arm holds the lens above the work. You view the work from some distance, but the area under the lens is magnified enough that you can see fine details. A typical magnifier is rated at 3×. How far from the work should the lens be placed?

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Can you please explain how...well...how this works.  Can you draw a diagram or something?  

It seems like if you use m=v/u and enter 25 cm for v, then you're saying that the image is 25cm from whatever the rest of the system is in the equation.  m is the magnification of the lens, so when you arrive at the value for u, that seems like it should be saying that if you put the iron 8.3 cm from the lens, then it will project the image 25 cm from the lens.  Not 25 cm in front of your eyes.  I don't understand how the answer ends up applying to the distance to the eyes.  Is there some algebra that needs to be done to link the distance from the image to the distance to the eyes?  

By the way, what do v and u stand for?  I know they're distances, but what words do the letters represent? 


soldering iron
UL
lens
VL
image
UE = 25cm
VE = 1.67cm
= -3
ML
ML = VL/UL
???
UE = V₁ ??
Therefore,
ML = UE/UL
Transcribed Image Text:soldering iron UL lens VL image UE = 25cm VE = 1.67cm = -3 ML ML = VL/UL ??? UE = V₁ ?? Therefore, ML = UE/UL
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