1. What is the Lens Image Distance Equation?

The lens equation relates the focal length of a lens to the distances of the object and the image from the lens. It's fundamental in optics for determining where an image will form.

2. How Does the Calculator Work?

The calculator uses the lens equation:

Where:

• \( d_i \) — Image distance (m)
• \( f \) — Focal length of the lens (m)
• \( d_o \) — Object distance from lens (m)

Explanation: The equation shows that the image distance depends on both the lens's focal length and the object's distance from the lens.

3. Importance of Image Distance Calculation

Details: Calculating image distance is crucial for designing optical systems, understanding image formation, and determining magnification in lenses.

4. Using the Calculator

Tips: Enter focal length and object distance in meters. Both values must be positive, and the object distance cannot equal the focal length.

5. Frequently Asked Questions (FAQ)

Q1: What does a negative image distance mean?
A: A negative value indicates a virtual image formed on the same side of the lens as the object.

Q2: What happens when do = f?
A: The equation becomes undefined as the denominator becomes zero. In reality, no image forms when the object is at the focal point.

Q3: How does image distance relate to magnification?
A: Magnification (m) is calculated as -d_i/d_o. The negative sign indicates image inversion when positive.

Q4: Does this work for both convex and concave lenses?
A: Yes, but remember focal length is positive for convex lenses and negative for concave lenses.

Q5: What units should I use?
A: The calculator uses meters, but any consistent unit can be used as long as all inputs are in the same unit.