Solve Plano-Convex Lens Lensmaker's Equation

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In summary, the Lensmaker's equation for a plano-convex lens can be simplified to the formula shown in simple2.jpeg by letting the second radius go to infinity. This results in a number of terms becoming zero, regardless of whether one starts with the formula shown in simple1.jpeg or complex.jpeg.
  • #1
paulstgeorge
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Can someone help me with the Lensmaker's equation for a plano-convex lens? The formula for a bi-convex lens is readily available but it includes a term for the radius for each of the two curves. A plano-convex lens has only one radius!
 
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  • #2
Let the second radius go to infinity.
 
  • #3
Thanks. Does that mean the formula is simplified to the formula shown in simple2.jpeg?

Whether I start with the formula shown in simple1.jpeg or that shown in complex.jpeg, if the second radius is infinity a number of terms are then zero.
 

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  • #4
paulstgeorge said:
Thanks. Does that mean the formula is simplified to the formula shown in simple2.jpeg?

Whether I start with the formula shown in simple1.jpeg or that shown in complex.jpeg, if the second radius is infinity a number of terms are then zero.
Certainly.
 

What is the Plano-Convex Lens Lensmaker's Equation?

The Plano-Convex Lens Lensmaker's Equation is a formula used to calculate the focal length of a lens based on its physical properties, such as its radius of curvature and refractive index.

Why is the Lensmaker's Equation important?

The Lensmaker's Equation is important because it allows scientists and engineers to design and create lenses with specific focal lengths for various applications, such as in cameras, microscopes, and telescopes.

How do you solve the Plano-Convex Lens Lensmaker's Equation?

To solve the Lensmaker's Equation, you need to know the radius of curvature of the lens, the refractive index of the lens material, and the desired focal length. Plug these values into the equation and solve for the unknown value.

What are some real-world applications of the Plano-Convex Lens Lensmaker's Equation?

The Lensmaker's Equation is used in many fields, including photography, optics, and astronomy. It is also used in the design of corrective lenses for glasses and contact lenses.

What factors can affect the accuracy of the Plano-Convex Lens Lensmaker's Equation?

The accuracy of the Lensmaker's Equation can be affected by factors such as manufacturing defects, variations in the refractive index of the lens material, and external environmental conditions, such as temperature and humidity.

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