How to insert an optics bench or P-V diagram

Choose Insert › Insert optics bench for a lens ray diagram with image distance and magnification, or Insert › Insert P-V diagram for a gas process with W, ΔU and Q.

Optics bench

Choose Main menu › Insert › Insert optics bench. It draws the object, the lens with its focal points, the three principal rays and the image, and works out the numbers: focal length, object and image distances, heights and magnification, and whether the image is real or virtual, inverted or upright, enlarged or reduced.

An optics bench: f = 10 cm, object at 25 cm, image at 16.67 cm, real, inverted, reduced.An optics bench: f = 10 cm, object at 25 cm, image at 16.67 cm, real, inverted, reduced.

P-V diagram

Choose Main menu › Insert › Insert P-V diagram. It plots a gas process between two states, shades the work, and works out the pressures, temperatures, work, change in internal energy and heat.

A P-V diagram from 100 kPa to 40 kPa at 300.7 K, with W = 183.3 J, ΔU = 0 J and Q = 183.3 J.A P-V diagram from 100 kPa to 40 kPa at 300.7 K, with W = 183.3 J, ΔU = 0 J and Q = 183.3 J.

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Last updated Nov 12, 2026