Spherical Mirrors

Discussion

introduction

text

ray diagrams

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equations

Geometric derivation of the magnification formula.

[slide]

Similar triangles. The magnification formula.

M =  hi  =  di
ho do

Geometric derivation of the spherical mirror formula.


[slide]

Magnification equation, similar triangles.

M =  hi  =  di  =  ƒ
ho do do − ƒ

cross multiply, distribute, collect like terms.

di(do − ƒ)  =  dof
dido − dif  =  dof
dido  =  dif + dof

Divide by didof.

dido  =  dif  +  dof
didof didof didof

Simplfy. The spherical mirror formula.

1  =  1  +  1
ƒ do di

uh huh, fried taters