%3Cp%20id%3D%22lucite%22%3E%3Cbr%20%2F%3E%3C%2Fp%3E%0A%3Cp%3EWhen%20a%20beam%20o
ID: 3899323 • Letter: #
Question
%3Cp%20id%3D%22lucite%22%3E%3Cbr%20%2F%3E%3C%2Fp%3E%0A%3Cp%3EWhen%20a%20beam%20of%20high%20energy%20electrons%20bombards%20an%20insulating%0Amaterial%20such%20as%20lucite%2C%20the%20electrons%20penetrate%20into%20the%20material%0Aand%20remain%20trapped%20inside.%20Consider%20a%200.1%20microampere%20beam%20that%0Abombarded%2025%20cm%3Cspan%20id%3D%22MathJax-Element-23-Frame%22%20class%3D%0A%22MathJax%22%3E%3Cspan%20id%3D%22MathJax-Span-306%22%20class%3D%22math%20c7%22%3E%3Cspan%20class%3D%0A%22c6%22%3E%3Cspan%20class%3D%22c5%22%3E%3Cspan%20id%3D%22MathJax-Span-307%22%20class%3D%0A%22mrow%22%3E%3Cspan%20id%3D%22MathJax-Span-308%22%20class%3D%22msubsup%22%3E%3Cspan%20class%3D%0A%22c4%22%3E%3Cspan%20class%3D%22c1%22%3E%3Cspan%20id%3D%22MathJax-Span-309%22%20class%3D%0A%22texatom%22%3E%3Cspan%20id%3D%22MathJax-Span-310%22%20class%3D%0A%22mrow%22%3E%3C%2Fspan%3E%3C%2Fspan%3E%3C%2Fspan%3E%3Cspan%20class%3D%22c3%22%3E%3Cspan%20id%3D%0A%22MathJax-Span-311%22%20class%3D%0A%22mn%20c2%22%3E2%3C%2Fspan%3E%3C%2Fspan%3E%3C%2Fspan%3E%3C%2Fspan%3E%3C%2Fspan%3E%3C%2Fspan%3E%3C%2Fspan%3E%3C%2Fspan%3E%3C%2Fspan%3E%0Aof%20lucite%20(dielectric%20constant%20%3Cspan%20id%3D%22MathJax-Element-24-Frame%22%0Aclass%3D%22MathJax%22%3E%3Cspan%20id%3D%22MathJax-Span-312%22%20class%3D%0A%22math%20c12%22%3E%3Cspan%20class%3D%22c11%22%3E%3Cspan%20class%3D%22c10%22%3E%3Cspan%20id%3D%0A%22MathJax-Span-313%22%20class%3D%22mrow%22%3E%3Cspan%20id%3D%22MathJax-Span-314%22%20class%3D%0A%22mi%20c8%22%3EK%3C%2Fspan%3E%3Cspan%20id%3D%22MathJax-Span-315%22%20class%3D%0A%22mo%20c9%22%3E%3D%3C%2Fspan%3E%3Cspan%20id%3D%22MathJax-Span-316%22%20class%3D%0A%22mn%20c9%22%3E3.2%3C%2Fspan%3E%3C%2Fspan%3E%3C%2Fspan%3E%3C%2Fspan%3E%3C%2Fspan%3E%3C%2Fspan%3E)%20for%201%0Asecond.%20Essentially%20all%20the%20electrons%20were%20trapped%20about%206%20mm%20below%0Athe%20surface%20in%20a%20region%20about%202%20mm%20thick.%20The%20block%20was%2012%20mm%0Athick.%3C%2Fp%3E%0A%3Cp%3EAssume%20a%20uniform%20density%20for%20the%20trapped%20electrons%20in%20the%202%20mm%0Athick%20layer%2C%20and%20neglect%20edge%20effects%20(that%20is%2C%20all%20quantities%20vary%0Aonly%20in%20one%20%3Cspan%20id%3D%22km2ax6901qtx_8%22%20class%3D%0A%22km2ax6901qtx%22%3Edirection%3C%2Fspan%3E).%20Now%2C%20assume%20also%20that%20both%20faces%0Aare%20in%20contact%20with%20grounded%20(%3Cspan%20id%3D%22MathJax-Element-25-Frame%22%0Aclass%3D%22MathJax%22%3E%3Cspan%20id%3D%22MathJax-Span-317%22%20class%3D%0A%22math%20c15%22%3E%3Cspan%20class%3D%22c14%22%3E%3Cspan%20class%3D%22c13%22%3E%3Cspan%20id%3D%0A%22MathJax-Span-318%22%20class%3D%22mrow%22%3E%3Cspan%20id%3D%22MathJax-Span-319%22%20class%3D%0A%22mi%20c8%22%3EV%3C%2Fspan%3E%3Cspan%20id%3D%22MathJax-Span-320%22%20class%3D%0A%22mo%20c9%22%3E%3D%3C%2Fspan%3E%3Cspan%20id%3D%22MathJax-Span-321%22%20class%3D%0A%22mn%20c9%22%3E0%3C%2Fspan%3E%3C%2Fspan%3E%3C%2Fspan%3E%3C%2Fspan%3E%3C%2Fspan%3E%3C%2Fspan%3E)%20conducting%0Aplates.%20Calculate%20the%20following%3A%3C%2Fp%3E%0A%3Col%20type%3D%22a%22%3E%0A%3Cli%3EWhat%20is%20the%20bound%20charge%20density%20in%20the%20charged%20region%3F%3C%2Fli%3E%0A%3Cli%3EWhat%20is%20the%20bound%20charge%20density%20at%20the%20surface%20of%20the%0Alucite%3F%3C%2Fli%3E%0A%3Cli%3ESketch%20graphs%20of%20%3Cspan%20id%3D%22MathJax-Element-26-Frame%22%20class%3D%0A%22MathJax%22%3E%3Cspan%20id%3D%22MathJax-Span-322%22%20class%3D%22math%20c18%22%3E%3Cspan%20class%3D%0A%22c17%22%3E%3Cspan%20class%3D%22c16%22%3E%3Cspan%20id%3D%22MathJax-Span-323%22%20class%3D%0A%22mrow%22%3E%3Cspan%20id%3D%22MathJax-Span-324%22%20class%3D%0A%22mi%20c8%22%3ED%3C%2Fspan%3E%3C%2Fspan%3E%3C%2Fspan%3E%3C%2Fspan%3E%3C%2Fspan%3E%3C%2Fspan%3E%2C%20%3Cspan%20id%3D%0A%22MathJax-Element-27-Frame%22%20class%3D%22MathJax%22%3E%3Cspan%20id%3D%0A%22MathJax-Span-325%22%20class%3D%22math%20c21%22%3E%3Cspan%20class%3D%22c20%22%3E%3Cspan%20class%3D%0A%22c19%22%3E%3Cspan%20id%3D%22MathJax-Span-326%22%20class%3D%22mrow%22%3E%3Cspan%20id%3D%0A%22MathJax-Span-327%22%20class%3D%0A%22mi%20c8%22%3EE%3C%2Fspan%3E%3C%2Fspan%3E%3C%2Fspan%3E%3C%2Fspan%3E%3C%2Fspan%3E%3C%2Fspan%3E%2C%20%3Cspan%20id%3D%0A%22MathJax-Element-28-Frame%22%20class%3D%22MathJax%22%3E%3Cspan%20id%3D%0A%22MathJax-Span-328%22%20class%3D%22math%20c21%22%3E%3Cspan%20class%3D%22c20%22%3E%3Cspan%20class%3D%0A%22c22%22%3E%3Cspan%20id%3D%22MathJax-Span-329%22%20class%3D%22mrow%22%3E%3Cspan%20id%3D%0A%22MathJax-Span-330%22%20class%3D%0A%22mi%20c8%22%3EV%3C%2Fspan%3E%3C%2Fspan%3E%3C%2Fspan%3E%3C%2Fspan%3E%3C%2Fspan%3E%3C%2Fspan%3E%20as%20functions%20of%0Aposition%20inside%20the%20dielectric.%20Show%20that%20the%20potential%20at%20the%0Acenter%20of%20the%20sheet%20of%20charge%20is%20about%204%20kilovolts.%3C%2Fli%3E%0A%3Cli%3EWhat%20is%20the%20electric%20field%20intensity%20in%20the%20charge-free%0Aregion%3F%3C%2Fli%3E%0A%3Cli%3EWhat%20is%20the%20energy%20stored%20in%20the%20block%3F%20What%20is%20the%20danger%20that%0Athe%20block%20will%20explode%3F%3C%2Fli%3E%0A%3Cli%3EHow%20would%20the%20curve%20of%20%3Cspan%20id%3D%22MathJax-Element-29-Frame%22%0Aclass%3D%22MathJax%22%3E%3Cspan%20id%3D%22MathJax-Span-331%22%20class%3D%0A%22math%20c21%22%3E%3Cspan%20class%3D%22c20%22%3E%3Cspan%20class%3D%22c22%22%3E%3Cspan%20id%3D%0A%22MathJax-Span-332%22%20class%3D%22mrow%22%3E%3Cspan%20id%3D%22MathJax-Span-333%22%20class%3D%0A%22mi%20c8%22%3EV%3C%2Fspan%3E%3C%2Fspan%3E%3C%2Fspan%3E%3C%2Fspan%3E%3C%2Fspan%3E%3C%2Fspan%3E%20be%20affected%20if%0Athe%20sheet%20of%20electrons%20were%20closer%20to%20one%20face%20of%20the%20block%20than%20to%0Athe%20other%3F%3C%2Fli%3E%0A%3C%2Fol%3E%0A%3Cp%3EAny%20input%20will%20be%20rewarded%20even%20if%20you%20answer%20only%20a%20few%20of%20the%0Aquestions!%3Cbr%20%2F%3E%3C%2Fp%3E%0AExplanation / Answer
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.