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Exercise:
A lens with diameter daO is used to concentrate the sunlight onto a bright spot with a diameter dbO. Calculate the factor by which the electric field amplitude at the bright spot is greater than immediately before the lens.

Solution:
Asing that the power of the light entering the lens is equal to the power at the bright spot i.e. that there is no absorption in the lens the ratio of the ensities at the bright spot and before the lens is fracI__L fracA_LA_S fracd_L^d_S^ leftfracd_Ld_Sright^ labeleq_area We also know that the ensity is proportional to the square of the electric field: fracI__L leftfracE_SE_Lright^ labeleq_field Combining refeq_area and refeq_field yields leftfracE_SE_Lright^ leftfracd_Ld_Sright^ Longrightarrow fracE_SE_L ratioF fracdadb resultratioP
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Exercise:
A lens with diameter daO is used to concentrate the sunlight onto a bright spot with a diameter dbO. Calculate the factor by which the electric field amplitude at the bright spot is greater than immediately before the lens.

Solution:
Asing that the power of the light entering the lens is equal to the power at the bright spot i.e. that there is no absorption in the lens the ratio of the ensities at the bright spot and before the lens is fracI__L fracA_LA_S fracd_L^d_S^ leftfracd_Ld_Sright^ labeleq_area We also know that the ensity is proportional to the square of the electric field: fracI__L leftfracE_SE_Lright^ labeleq_field Combining refeq_area and refeq_field yields leftfracE_SE_Lright^ leftfracd_Ld_Sright^ Longrightarrow fracE_SE_L ratioF fracdadb resultratioP
Contained in these collections:

Attributes & Decorations
Branches
Electromagnetic Waves
Tags
electric field, intensity
Content image
Difficulty
(2, default)
Points
0 (default)
Language
ENG (English)
Type
Calculative / Quantity
Creator by
Decoration
File
Link