# Mirror Equation Calculator

The unknown variable among the object and image distances from the pole of a mirror, its focal length, and radius curvature can be easily determined using our mirror equation calculator. This tool also aids in the identification of the two forms of mirror magnification – linear and areal – as well as the avoidance of common errors made when using the Cartesian sign convention for mirrors.

### For Curved Mirrors, what is the Mirror Formula?

The mirror formula ties the object and image distances from a mirror's pole to the focal length of the mirror. The equation that connects these three variables is as follows: **1/f = 1/ u + 1/v**

- Where ff - Mirror focal length: the distance between the primary focus and the pole of the mirror.
- vv - Image distance: the distance between the created image and the mirror's pole.
- uu - Object distance: the distance between the put object and the mirror's pole.

Plane mirrors can also be calculated using the mirror formula. The focal length of a plane mirror, ff, is infinite. As a result, the mirror formula is:

**1/ ∞ = 1/ u + 1/v OR, u = -v**

### In terms of the radius of curvature, how do I write the Mirror Equation?

The radius of curvature of a mirror is equal to the radius of the sphere in which it is embedded. A mirror's focal length, f, is always half of its curvature radius, r: f = r/2

As a result, the mirror equation can be written as follows:**2/r = 1/ u + 1/v**

### How do I use the Mirror Equation?

- Step 1: Determine the distance between the object and the mirror.
- Step 2: Calculate the picture of the thing that the mirror projects from the mirror itself.
- Step 3: Using the equation above, calculate the radius of curvature and focal length.

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### Why is a Plane Mirror's Focus Length Infinity?

A plane mirror's reflected rays do not diverge from a point or converge onto a point. They are always in line with each other. As a result, we regard the focal length of a plane mirror to be infinite.

A plane mirror is considered to be a component of a sphere with an infinite radius. As a result, it is a spherical mirror with an unlimited curvature radius and an infinite focal length.

### FAQs on Mirror Equation Calculator

**1. What are the drawbacks of using the mirror formula?**

The curved surfaces will be planes if the radius of curvature R is sufficiently great in comparison to u and v. As a result if R is arbitrarily large, 2/R equals zero. As a result, if an object is placed in front of a mirror, the image will appear behind it. However, because the formula is so simple, it isn't used.

**2. Is there a mirror formula for flat mirrors?**

No, the mirror formula holds true for both flat and spherical mirrors in all object positions.

**3. Is there a difference between the formula for a mirror and a lens?**

Even though a lens is a transparent medium, distances can only be measured in one direction when using it. However, because a mirror is a reflecting surface, the rays are redirected back to the source. As a result, in a mirror formula against a lens formula, a significant difference is required.

**4. When applying the mirror formula, what is the focal length of a flat mirror?**

The image can be generated at an endless distance inside the mirror, the focal length of a flat mirror is limitless. A spherical mirror with an infinite radius of curvature is referred to as a plane mirror. The focal length is infinite since it is half the radius of curvature.

**5. How can you tell if a mirror is real or fake?**

When light rays really cross at the image, it creates a true image that is inverted, or upside down. When light beams do not truly intersect at the image, it is called a virtual image. Instead, your eye "sees" the image because light rays are reflected backward. The right half of a virtual image is up (upright).