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EXAM1_Q_4 - {l ‘ A line dlflge 3 of length 1 lies...

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Unformatted text preview: {l- ‘ A line dlflge 3?: of length 1 lies Isa-sane! to an infinite sheet of surface charge?- p51 How touch work is required to rotate 'i the line chat-we so that' it is vertical? V m. . ? 1 J l Find the bmding energy int. he following atomic models: Dz“; baih 3051173131 2 wa‘as-j3 (1)151 .. point charge Q surrouded by a uru'fomly dis- u'ihuted surface charge - Q of radius R Ch) A tuiiraorrtthr disn-ihuteci ruins-inc charge Q With'n a sphere of radius R1 surrounded on the outside hr :1 unitormly distributed sunace charge — Q at radius R; t" , , scoring to 1%,: Ar” where 14= coast. 71d 12 _>_ I i. I ‘ r 12.1.1333 vour results at Q tens of the total charge S; of tee 51.311553 ‘ l . s» _ , ; , W‘ :T‘Pv‘v’c‘rT if) new: the energy or the c’ arge disributma “ 2 Wang: i331 ”512g {5% . To whatshould 1roar3 («1‘ result reduce 15th“... 11 = 0?. Does it? he” . it‘d : isles E d V C} what __ actioa of the total eaergy is outside 4. Li“ A spherical droplet of radius R carrying a total charge Q 01:1 its surface' as broken up into N identical smaller droplets. (a) What is the radius of each droplet and how much charge does it carry? ~ 7 ('13) Assuming the droplets are v'erv far apart and do not interact, how much electrostatic energy is stored? (c) Because oi the1r surface tension the droplets also have a constant surface energf}r per unit area 111,. What is the total energy (electrostatic plus surface) 111 the system? _ (d) How much work was required to form the droplets and. to separate them to infinite spacing: (e) What value of N minimizes this work? Evaluate for a .- water droplet with original radius of 1 mm and charge of 10'6 .‘C 3- ...
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