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Formula For Calculating Focal Length

Focal Length Formula:

\[ FL = \frac{\text{Sensor Width} \times \text{Working Distance}}{\text{Object Width}} \]

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mm
mm

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1. What Is The Focal Length Formula?

The focal length formula calculates the required lens focal length based on sensor size, working distance, and object width. This is essential in photography, microscopy, and machine vision applications to achieve the desired field of view.

2. How Does The Calculator Work?

The calculator uses the focal length formula:

\[ FL = \frac{\text{Sensor Width} \times \text{Working Distance}}{\text{Object Width}} \]

Where:

Explanation: This formula calculates the lens focal length needed to capture an object of a specific width at a given distance, using a camera with a known sensor size.

3. Importance Of Focal Length Calculation

Details: Accurate focal length calculation is crucial for setting up imaging systems with the correct field of view, ensuring objects are properly framed, and achieving the desired magnification in various optical applications.

4. Using The Calculator

Tips: Enter sensor width in mm, working distance in mm, and object width in mm. All values must be valid positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What if I have a different sensor dimension?
A: This formula uses sensor width. For height-based calculations, substitute sensor height for sensor width in the formula.

Q2: How does this relate to angle of view?
A: Focal length directly affects the angle of view - shorter focal lengths provide wider angles, while longer focal lengths provide narrower angles.

Q3: Can this formula be used for zoom lenses?
A: Yes, the formula calculates the required focal length setting for a zoom lens to achieve the desired field of view.

Q4: What about crop factor in different camera systems?
A: The formula uses the actual sensor dimensions, so it automatically accounts for different sensor sizes without needing crop factor conversions.

Q5: How accurate is this calculation?
A: The calculation provides a theoretical focal length. Real-world results may vary slightly due to lens design characteristics and manufacturing tolerances.

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