Calculating Magnification: Diverging and Converging Lenses Equations Explained

[brinstar]

Homework Statement

"Find the magnification of the following system: A diverging lens with focal point -9.5 cm is placed 4.35 cm to the right of a converging lens with its own focal point of 13.0 cm. Parallel light enters the converging lens from the left."

Homework Equations

M = -p/q
1/p + 1/q = 1/f
p of diverging lens = d - q of converging lens
Mtotal = M1 * M2

The Attempt at a Solution

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So I figured out the magnification for the diverging lens and got 11.17647059. I cannot for the life of me figure out the magnification of the converging lens, and this is all because the object distance is infinite. How exactly do I get the total magnification (which is the product of my two magnifications) if the object distance for my converging lens is infinite? That would leave me at 13.0 cm divided by infinity...

 

[DarkMatter5]

Magnification (of the whole telescope together)= f_o/f_e

f_o is the focal length of the objective lens (converging)
f_e is the focal length of the eyepiece lens (diverging)

The object distance doesn't matter.

 

[brinstar]

Magnification (of the whole telescope together)= f_o/f_e

f_o is the focal length of the objective lens (converging)
f_e is the focal length of the eyepiece lens (diverging)

The object distance doesn't matter.

Wow! >.< I feel so dumb.

Thanks so much for the reply!

For some reason, though, my teacher never gave me that formula in class. The ones I gave were all I had to work with. I didn't know you could get magnification without object distances and height!

 

[DarkMatter5]

No problem . Now you know! Feel free to message me if you have any more telescope or astro questions.