Optics

Telescope Magnification

M=fofeM = -\frac{f_o}{f_e}

The angular magnification of an astronomical (refracting) telescope. The negative sign indicates an inverted image.

Variables

M
Angular magnification
unitless
f_o
Focal length of objective
m
f_e
Focal length of eyepiece
m

Derivation

Derived from the ratio of the angle subtended by the image to the angle subtended by the distant object. The objective forms an image at its focal point, which coincides with the focal point of the eyepiece.

Your notes

0/5000

Common questions

What is the Telescope Magnification formula?

Telescope Magnification is written M = -fₒ/fₑ. The angular magnification of an astronomical (refracting) telescope. The negative sign indicates an inverted image. It belongs to Optics, under Optical Instruments.

What are the units in M = -fₒ/fₑ?

In SI units, M is angular magnification (dimensionless); f_o is focal length of objective, measured in m; f_e is focal length of eyepiece, measured in m.

How is the Telescope Magnification formula derived?

Derived from the ratio of the angle subtended by the image to the angle subtended by the distant object. The objective forms an image at its focal point, which coincides with the focal point of the eyepiece. The result is M = -fₒ/fₑ.