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# Midterm - PH 112 MIDTERM EXAM SPRING 2006 Instructor Dr...

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Unformatted text preview: PH 112 MIDTERM EXAM SPRING 2006 Instructor: Dr. Andrew Pakhomov Your name: , 6&1, In this test you can make up to 31/25 pts Good [email protected] \ Problem 1. (5 points): An electron is placed in a uniform electric ﬁeld of 1.5x104 N/C. Determine its acceleration. Mass of electron: 9.1x10’31 kg. _ _.'(/c»</0 c)(/ sic/09W) F: med: 6E >0»; me (?.I x/O‘g’ n33 61:2,4 x to" “/sz Problem 2. (5 points) A glass rod of length 27 cm lies along the positive x-axis with one end at the / origin (x = 0). Given that it is charged positively in such a way that its linear charge density is a function of coordinate x: Mx) = (30.0 tie/maxi, ﬁnd the total charge on the rod. L‘ GEM L ,Z?~m X 6?: j>t(x)olx = ](37</o“%3)><204>< = Canto“ 3—3 )x m 3 mm 0 an} a (/o~?c/ma>(mm>3= 0.2 nc 0 .— Problem 3. (5 points) Consider a uniform spherical shell of charge +Q and radius r surrounded by a concentric spherical shell of uniform charge -Q and radius R (R>r). Determine the E-ﬁelds inside, between and beyond the shells. Assume vacuum. fQ/ttss Lauj,O ” a) . . on; E20 Problem 4. (5 points) An electric ﬁeld in a region is given by a function: oni A 1'0 E: where E; and x0 are constants. Find the potential as a ﬁmction of position, taking the zero of potential at x= O. Vg-VA‘: JE Jew? V3: (If—EXXON - EOXZ [I Problem 5. (5 points) A little ﬂat ceramic capacitor consists of two circular plates 0.50 cm in diameter separated by a dielectric 1/3 mm thick with a relative permittivity of 4.8. Compute its capacitance. Bonus Problem (6 points) The earth carries a net charge of about -4x105 C a) If no others charges were present, what would be the potential at the earth's surface, with respect to inﬁnity?; b) Actually, this net negative charge is balanced by a positive charge layer in the earth's ionosphere, an electrically conducting layer about 60 km above the earth. Estimate the potential difference between the earth and ionosphere. Earth radius R9 = 6.37 x106 vm a) (maﬁa °+ 4 59%“ V " L620 L740? —) (W9C): ’SWO L ° (01mm gum. Q9 “WW” )maloe “043% '99: = K_§2F____:’r‘ “QM“? +604. . _ .. f" -» Oh V0“ "J‘E'Otr: "KJLQG oer/r2: X'QQ (Ke't' ‘GOw-:>: =__'-——% w; (“W0 V)(€V30w) ‘93“ V Al‘f‘eem‘hve So Cuﬁ‘bn To bow; Problem: ~( 3 W55 'V' ° 6%} Q 6~ _, ICQ - Se V= ‘WEO 0.: Clio ( Q) - ICQ (gok‘g [at V' Ee(£@*(0tm) ...
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