### Thin Lens Equation Calculator

Light passing through a lens undergoes refraction, That means it changes direction. This occurs on each of the two surfaces of the lens.

This tool can be used for “thin lenses” where the lens thickness is much smaller than the distance to the subject and image. Optical rays Paraxial rays make a small angle to the optical axis of the system and lie close to the axis throughout the system.

A thin lens equation calculator has been developed to help you analyze the optical properties of a simple lens. If you place the object near the lens, its image will be found somewhere.

The position, orientation and size of this image depends on two things:

The focal length of the lens is specific to the particular lens and the position of the original subject. We can predict what we are going to see with the following thin lens equation:

### Thin Lens Formula:

Thin lens equation calculator the distance between the object and cnter of lens 1/x_{(m)} in meter is equal to the one divided by the distance between image and center of lens 1/y_{(cm)} in centimeter and addition one divided by the focal length 1/f_{(cm) } in centimeter.Hence the Thin lens equation calculator can be written as

1/x_{(m)}=1/y_{(cm)}+1/f_{(cm)}

Where

F=is the focal length in cm

X= is the distance between the object and center of lens in m

Y=is the distance between image and center of lens in cm

### Example:1

Calculate the distance between the object and center of lens 50m and distance between image and center of lens 80cm.Find the focal length?

### Answer:

X=50m

Y=80cm

Convert the object distance 50m to centimeters

F=x*y/(x+y)

F=50*100*80/50*100+80

F=78.7402cm

### Example:2

Calculate the distance between the object and center of lens 20m and distance between image and center of lens 24cm.Find the focal length?

### Answer:

X=20m

Y=24cm

Convert the object distance 20m to centimeters

F=x*y/(x+y)

F=20*100*24/20*100+24

F=23.71cm