Ball Lens Focal Length Calculator

Wanna to determine the focal length of a ball lens accurately? Off course, you have chosen one of the best place. I have develop an easy to use tool with a sleek and intuitive interface. the following calculator allow to to choose you basic and advance level multiple methods to determine ball lens focal length.

Ball Lens Focal Length Calculator

Enter any 2 values to calculate the missing variable






















Ball Lens Focal Length Calculation tool

What is Ball Lens Focal Length?

The distance between the center of the ball lens and the point at which the rays of light converge to provide a sharp image is called the focal length of a ball lens. This property is very significant in numerous optical uses.

User Guide

  1. Enter the Refractive Index: Input the refractive index of the material.
  2. Enter the Ball Lens Diameter: Input the diameter of the ball lens.
  3. Click Calculate: The calculator will compute the focal length.

Example Input Values

  • Refractive Index: 1.5
  • Diameter: 10 mm

How to Calculate Ball Lens Focal Length

Formula

BLFL=n×D4×(n1)BLFL = \frac{n \times D}{4 \times (n – 1)}

Variables

Variable Description
BLFL Ball Lens Focal Length
nn Refractive Index
DD Diameter of the Ball Lens

Basic Calculator Calculation Example

To calculate the ball lens focal length step-by-step.

1: Identify the refractive index (n) and diameter (D).

n=1.5n = 1.5

D=10D = 10

2: Plug these values into the formula.

BLFL=1.5×104×(1.51)BLFL = \frac{1.5 \times 10}{4 \times (1.5 – 1)}

3: Simplify the denominator.

BLFL=154×0.5BLFL = \frac{15}{4 \times 0.5}

4: Calculate the denominator.

BLFL=152BLFL = \frac{15}{2}

5: Divide the numerator by the denominator.

BLFL=7.5BLFL = 7.5

Advanced Calculator Calculation Example

To calculate the ball lens focal length using more complex values.

1: Identify the refractive index (n) and diameter (D).

n=2.0n = 2.0

D=20D = 20

2: Plug these values into the formula.

BLFL=2.0×204×(2.01)BLFL = \frac{2.0 \times 20}{4 \times (2.0 – 1)}

3: Simplify the denominator.

BLFL=404×1BLFL = \frac{40}{4 \times 1}

4: Calculate the denominator.

BLFL=404BLFL = \frac{40}{4}

5: Divide the numerator by the denominator.

BLFL=10BLFL = 10

Input Examples

1. Basic Example

Refractive Index Diameter Ball Lens Focal Length
1.5 10 mm 7.5 mm

2. Advanced Example

Refractive Index Diameter Ball Lens Focal Length
2.0 20 mm 10 mm

FAQs

What are the units for diameter?

Use the same units—millimeters (mm) or centimeters (cm) —in all your calculations.

Can I determine the focal length if I only know the diameter?

No, you need the refractive index and diameter to calculate the focal length.

What if the value of the refractive index is not given?

You would need the refractive index to determine the focal length. Look into the material specification for this value.

Final Words

How was your experience with the Ball Lens Focal Length Calculator? We value your feedback and experiences. Please share how this tool helped you with your calculations.

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