Solve Plano-Convex Lens Lensmaker's Equation

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The discussion focuses on the Lensmaker's equation for a plano-convex lens, highlighting the challenge of adapting the bi-convex lens formula, which includes two radii, to a lens with only one radius. When the second radius is set to infinity, several terms in the equation become zero, simplifying the formula. Participants confirm that this simplification leads to a more straightforward expression for the plano-convex lens. The conversation emphasizes the importance of understanding how the lens shape affects the equation. Ultimately, the simplified formula for a plano-convex lens is confirmed as valid.
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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Let the second radius go to infinity.
 
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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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.
 

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