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midterm 2 soln

# midterm 2 soln - University of Minnesota School of Physics...

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University of Minnesota School of Physics and Astronomy Student Name: Student ID Number: Course Abbreviation and Number: PHYS 1302W.300 Course Title: Introductory Physics for Science and Engineering I Exam: Quiz II Instructor: Haines Date of Exam: February 27, 2009 Time Period: Start time: 11:15 am End Time: 12:05 pm Duration of Exam: 50 minutes Number of Exam Pages: 4 (including cover sheet) Exam Type: Closed Book Additional Materials Allowed: a single “cheat sheet” 8 x 11 inch paper, and a calculator. As with all work you submit at the University of Minnesota, the Honor Principle is in e ff ect. Your name on the paper is an assurance that you are adhering to the Honor Principle. e 1 . 6 10 19 C ; k 9 10 9 Nm 2 C 2 ; 0 8 . 85 10 12 C 2 Nm 2 ; k 1 4 π 0 F 12 k q 1 q 2 r 2 12 ˆ r 12 ; E 1 q 0 F ; E k q r 2 ˆ r ; Charge Density: linear: λ Q L ; surface: σ Q A ; volume: ρ Q V Electric Flux Φ E surf E d A surf E dA ; Gauss: E d A 1 0 q enc Long, straight charged wire: E λ 2 π 0 r ; Large sheet of charge: E σ 2 0 Between two infinite conducting parallel plates σ and σ : E σ 0 . Electric potential V U charge ; 1 Volt = 1 J/C; Δ V f i E d f i E d Potential of a point charge, after setting V to zero: V kq r Charged sphere of radius R: V 4 π kR σ . The E-field can always be found from the potential using E V . Surface area of a sphere: A 4 π R 2 ; Volume of a sphere: V 4 3 π R 3 ; density mass/volume; ρ m V F G GM 1 M 2 r 2 ; PE G U GMm r

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midterm 2 soln - University of Minnesota School of Physics...

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