PHYIC CALCULATOR
Mirror Equation Calculator
A precise tool.
What is the Mirror Equation Calculator & How does it work?
The mirror equation is a fundamental formula in optics used to relate the object distance (do), image distance (di), and focal length (f) of a spherical mirror. It is expressed as:
frac{1}{f} = frac{1}{d_o} + frac{1}{d_i}
f = focal length, d_o = object distance, d_i = image distance
This equation is crucial for understanding how images are formed by mirrors and can be used to calculate either the image distance or the object distance when the other two values are known.
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Frequently Asked Questions
What is the mirror equation?
The mirror equation relates the focal length (f), object distance (do), and image distance (di) of a spherical mirror: 1/f = 1/do + 1/di.
How do I use this calculator to find the image distance?
Input the focal length and object distance into the calculator, and it will compute the image distance for you.
Can this calculator handle both convex and concave mirrors?
Yes, the mirror equation applies to both convex and concave mirrors. Just ensure the signs for distances are correct based on the mirror type.
What do the signs of object and image distances represent?
A positive sign indicates a real distance (object in front of the mirror, image behind it), while a negative sign indicates a virtual distance (image formed in front of the mirror).
Is this calculator suitable for all types of mirrors?
This calculator is specifically designed for spherical mirrors. For other mirror shapes, different equations may be required.
What happens if the object distance equals the focal length?
If do = f, the image will be formed at infinity, and the image distance di approaches infinity.
Can I use this calculator to find the focal length of a mirror?
Yes, if you know both the object distance and image distance, you can rearrange the mirror equation to solve for the focal length f.
Results are for informational purposes only and do not constitute professional advice.