Lens at Mirror Equation — may mga hakbang at ray diagram

I-solve ang thin lens at spherical mirror equation: kuwentahin ang image distance dᵢ, magnification, at image height habang sabay na nag-a-update ang ray diagram.

Para sa physics, naka-save ang units sa shareable URL, naka-log ang “Paano kinuwenta”, at may CSV export para sa lab reports o LMS uploads.

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Inputs
Advanced: Lensmaker & mirror radius helpers

Provide n, R₁, and R₂ to compute the lensmaker focal length f = 1 / ((n−1)(1/R₁ − 1/R₂)). For mirrors, the helper reports f = R/2.

Keyboard shortcuts: Ctrl+Enter runs the calculation, Ctrl+S exports the CSV, Ctrl+L copies the share URL.

Result summary

How it's calculated

    Ray diagram

    The canvas plots the optical axis, focal points, object arrow, image arrow, and the three principal rays. Virtual rays are dashed for easy differentiation.

    FAQ

    How do I know if the image is real or virtual?

    The sign convention follows the Gaussian Cartesian rule: dᵢ > 0 indicates a real image on the outgoing side, whereas dᵢ < 0 marks a virtual image on the object side. The magnification sign shows whether the image is upright (m > 0) or inverted (m < 0).

    What ray diagram does the tool draw?

    We plot the parallel ray through the focus, the ray that heads toward the focus and exits parallel, and the central ray. Dashed segments denote virtual extensions so diverging lenses and convex mirrors remain easy to follow.

    How it's calculated