Relationship between object distance and image distance with two convex lens and magnification


This calculator will help you calculate the relation between object distance and image distance with two convex lens and magnification.

The formula that will be used is as followed:

$V_1$=$\frac{u_1 * f_o}{u_1-f_o}$      $M_1$=$\frac{f_o}{u_1-f_0}$


For L$\lt V_1$ [1],

$U_2$=$V_1-L$      $M_2$=$\frac{f_e}{f_e+U_2}$

$V_2$=$M_2 U_2$      $M$=$M_1 * M_2$




For $V_1 \lt L \lt V_1+f_e$ [2],                   For ($V_1+f_e \lt L \lt V_1+2 f_e$) [3]  &   ($L \gt V_1+2 f_e$) [4],

$U_2$=$L-V_1$   $M_2$=$\frac{f_e}{f_e+V_1-L}$      $U_2$=$L-V_1$   $M_2$=$\frac{f_e}{L+V_1-f_e}$

$V_2$=$\frac{f_e U_2}{U_2-f_e}$   $M$=$M_1 * M_2$       $V_2$=$\frac{f_e U_2}{U_2-f_e}$   $M$=$M_1 * M_2$


Input
Object Distance, $U_1$:
m
Focal Length of the obective lens, $f_o$:
m

Focal Length of the eyepiece, $f_e$:
m
Distance between the objective lens and the eyepiece, $L$:
m


Output
Image Distance, $V_2$:
m

Total Magnification, M: