ANSWER:-
Obten,formulasdescibing phenomena in the science are given in
terms of many variables, many of which are merely constants.
Given that:-
![PI2 El D dar (x2 + D2)] 11](//img.homeworklib.com/questions/fbe4a830-e7f7-11ea-aa1b-79489aec256b.png?x-oss-process=image/resize,w_560)
![\large E_\perp=\int _{\theta_1}^{\theta_2}\frac{D}{(D^2Tan^2\theta+D^2)^\frac{3}{2}}Dsec^2\theta d\theta](//img.homeworklib.com/questions/fc3c48f0-e7f7-11ea-9ee9-bb07e156c586.png?x-oss-process=image/resize,w_560)
Put:-
![\large x=D\, \, tan\, \, \theta](//img.homeworklib.com/questions/fc927e20-e7f7-11ea-a680-5b8af8ff82cc.png?x-oss-process=image/resize,w_560)
![\large dx=D\, \, sec^{2}\, \, \theta \, \, d\theta](//img.homeworklib.com/questions/fcdbece0-e7f7-11ea-9c13-d3f4ced5d649.png?x-oss-process=image/resize,w_560)
![\large For x=x_{1}\Rightarrow \theta=\theta_{1}=Tan^{-1}\left ( \frac{x_{1}}{D} \right )](//img.homeworklib.com/questions/fd27ea60-e7f7-11ea-9b61-3dfb80950310.png?x-oss-process=image/resize,w_560)
![\large For x=x_{2}\Rightarrow \theta=\theta_{2}=Tan^{-1}\left ( \frac{x_{2}}{D} \right )](//img.homeworklib.com/questions/fd7d3fd0-e7f7-11ea-b3e4-cfcbb9e9e111.png?x-oss-process=image/resize,w_560)
![\large =\int_{\theta_{1 }}^{ \theta_{2} }\frac{D^{2}sec^{2}\theta }{[D^{2}(1+tan^{2}\theta)]^{3/2}}d \theta](//img.homeworklib.com/questions/fdd67c50-e7f7-11ea-a471-375a818caa85.png?x-oss-process=image/resize,w_560)
![\large =\int_{\theta_{1 }}^{ \theta_{2} }\frac{D^{2}sec^{2}\theta }{( D^{2}sec^{2}\theta)^{3/2}}d \theta](//img.homeworklib.com/questions/fe2be050-e7f7-11ea-9569-8f95fca44b3c.png?x-oss-process=image/resize,w_560)
![\large =\int_{\theta_{1 }}^{ \theta_{2} }\frac{D^{2}sec^{2}\theta }{( D^{3}sec^{3}\theta)}d \theta](//img.homeworklib.com/questions/fe816e10-e7f7-11ea-b129-d3322d6a6343.png?x-oss-process=image/resize,w_560)
![\large =\int_{ \theta_{1}}^{ \theta_{2} }\frac{1}{D sec \theta }d \theta =\frac{1}{D}\int_{ \theta_{1}}^{ \theta_{2} }cos \theta d \theta](//img.homeworklib.com/questions/fed724f0-e7f7-11ea-b599-b36c80672d1b.png?x-oss-process=image/resize,w_560)
![\large = \frac{1}{D} \left ( sin \theta\right )^{\theta_{2} }_{ \theta_{1} }](//img.homeworklib.com/questions/ff2e2b00-e7f7-11ea-9875-1f1860bb2fbb.png?x-oss-process=image/resize,w_560)
![\large = \frac{1}{D} \left ( sin \theta_{2}-sin \theta_{1}\right )](//img.homeworklib.com/questions/ff8174a0-e7f7-11ea-b4d7-9f878601374f.png?x-oss-process=image/resize,w_560)
![\large \theta _{1}=tan^{-1}\left ( \frac{x_{1}}{D} \right )](//img.homeworklib.com/questions/ffd70650-e7f7-11ea-9434-c3a88909f914.png?x-oss-process=image/resize,w_560)
![\large \theta _{2}=tan^{-1}\left ( \frac{x_{2}}{D} \right )](//img.homeworklib.com/questions/002b88b0-e7f8-11ea-aa6f-3b850cb7b695.png?x-oss-process=image/resize,w_560)
PI2 El D dar (x2 + D2)] 1'1
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