Okay so Ive also been pondering this question. Some books and Micheal van Beizen (youtuber) say the lensmaker equation is (1/R1-1/R2) but he says right here its (1/R1+1/R2). I think this just arises from the different definitions of a negative and positive RoC. The (1/R1-1/R2) variation defines a positive RoC as any surface where the belly faces the left, and a negative RoC where the belly faces the right. In (1/R1+1/R2) however, the definition for positive and negative RoC depends on if its convex or concave. So R2 in the first variation is negative because the belly faces the right, but here its positive because its convex. Whatever one of these formulas you use, they both work, just be aware that they use different rules for what is a negative and positive RoC.
Okay so Ive also been pondering this question. Some books and Micheal van Beizen (youtuber) say the lensmaker equation is (1/R1-1/R2) but he says right here its (1/R1+1/R2). I think this just arises from the different definitions of a negative and positive RoC. The (1/R1-1/R2) variation defines a positive RoC as any surface where the belly faces the left, and a negative RoC where the belly faces the right. In (1/R1+1/R2) however, the definition for positive and negative RoC depends on if its convex or concave. So R2 in the first variation is negative because the belly faces the right, but here its positive because its convex. Whatever one of these formulas you use, they both work, just be aware that they use different rules for what is a negative and positive RoC.
Positive focal length is due to the sign convention according to Cartesian plain the left side is negative so if the focal length is on the left side it is negative if it's on the right side it is positive
Solid Video! so if convex surfaces are positive and concave surfaces are negative, should R1 be negative if the lens is observed from the right side of the board ( C1 toward C2).
Okay so Ive also been pondering this question. Some books and Micheal van Beizen (youtuber) say the lensmaker equation is (1/R1-1/R2) but he says right here its (1/R1+1/R2).
I think this just arises from the different definitions of a negative and positive RoC. The (1/R1-1/R2) variation defines a positive RoC as any surface where the belly faces the left, and a negative RoC where the belly faces the right.
In (1/R1+1/R2) however, the definition for positive and negative RoC depends on if its convex or concave. So R2 in the first variation is negative because the belly faces the right, but here its positive because its convex.
Whatever one of these formulas you use, they both work, just be aware that they use different rules for what is a negative and positive RoC.
Thank you. Tomorrow will be our finals.
In just 5 minutes you have explained it very well.
I am from India and your lecture is excellent 👍
Very clear explanation! Thanks you for ur lecture.
Thank you so much!!! I wish you were my physics teacher. Love your lectures!!!
We have studied it in books as In bracket(1/r1-1/r2)
Okay so Ive also been pondering this question. Some books and Micheal van Beizen (youtuber) say the lensmaker equation is (1/R1-1/R2) but he says right here its (1/R1+1/R2).
I think this just arises from the different definitions of a negative and positive RoC. The (1/R1-1/R2) variation defines a positive RoC as any surface where the belly faces the left, and a negative RoC where the belly faces the right.
In (1/R1+1/R2) however, the definition for positive and negative RoC depends on if its convex or concave. So R2 in the first variation is negative because the belly faces the right, but here its positive because its convex.
Whatever one of these formulas you use, they both work, just be aware that they use different rules for what is a negative and positive RoC.
best I ever watched
But what’s the meaning of a positive focal length? Does it collect the parallel incident rays or spread them?
Positive focal length is due to the sign convention according to Cartesian plain the left side is negative so if the focal length is on the left side it is negative if it's on the right side it is positive
Beat video ever seen thank u sir
Solid Video! so if convex surfaces are positive and concave surfaces are negative, should R1 be negative if the lens is observed from the right side of the board ( C1 toward C2).
What does a negative focal length means?
it means the focus point comes before the center of the lens
how can i demostrate this equacion?
with drawibg the graphs of the vergence in function multiples variables related to the lens
Groovy
god bless