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Q4 - PHYSICS 2B(a QUIZ 4 SPRING QUARTER 2000 PROF SCHULLER...

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Unformatted text preview: PHYSICS 2B(a) QUIZ 4 SPRING QUARTER 2000 PROF. SCHULLER - APRIL 28, 2000 USELEHL EQRMULAS: Coulomb‘ 5 Law E = 1 q—‘g—Z—f For a capacitor 47:80 r‘ CV = Q — — 1 80A Gauss' 5 Law §E - dA = —-I p dV C = —d— (Parallel Plate) 5 80 \' Electrostatic Energy . P- - 1 i . Definition ofPotential V=J E-dl = 1 fl °° 47:80 2 w: rij £0 = 8.9 ><10‘12 C- , Nm' E=-VV 1. A shell of charge of inner radius a and outer radius b has a unifcmluzharge' density p distributed on it. The potential outside this sphere is given as V - 1 Q 471'80 r where Q is the total charge and r is the distance from the center of the sphere. a) Calculate Q. b) From V calculate the electric field E, outside. [0 The figure below shows two capacitors in series: the center section of length I) is movable vertically. (a) Calculate the capacitance of this arrangement, assuming they have an area A. (b) Show that the equivalent Capacitance of this series combination is independent of the position of the center section. l ‘l a 'T l b | _L I‘ 3. The electric field just above the surface of the charged drum of the photocopying machine has a magnitude E of 2.3 x105N/C. What is the surface charge density on the drum, assuming that the drum is a conductor? 4. (BONUS) What are the two most important subjects that are the basis of all Solid State Physics, Chemistry and Biology? _9\/ -64 ( \ 62 | Q. :5 .. / -_-_ ’— f.“ ._.—- T. ’— 5 CUm'Z— L/J # I \F ~35“. Axel. I‘L ‘H‘l [lbw-0L wow-3 I V “23.3) ‘- Lin-60 Jx1+bx+3L — _ l Ex = ‘W = 4’ (a my «_ 4’ x 3/ ax Lmé'" Cxu ‘3“393’1 q“é° (XI-ku‘wé‘) "'- gfml\o‘rLu>J E _ c? kg E _ Q ’5- ‘1 ' q“ to (x‘+~3‘+}1)3/1 J 3' qrr £5 “1+5 +31_)3/v. ’5 { Q A A A :3 E : X x + 4 ‘M’éo (‘u 7". 3/1 ( 5‘3 3'3 ) A 0 new) ‘Hu. msh:+|AA-Q ¢€ E- ‘) a S .5 a, " 1. I .. . 1 Q ‘E'\ _ E E (exec) s (x1+‘01+}1) (Xt*\31+51) ‘ ,_ 6) I Q 1 «are. rmgn‘ “e" {L Ma. J 51:41.1 ‘er, proakchoko or f ouch; ‘l'Ll QJQ ‘55 MM «AL X’uw mi 1r r-cspc‘h'nka \. ‘méo r" [(—‘K “I 6 TL». “PAC; menw ‘E r 0L 94W P [£311. («A ‘0 l‘Y €¢A C.=’——‘ so “\‘L‘L CapacA'uM 94- +Lt +09 upmt‘hr 1'; M a“ '94:. QP$¢:LML’K sQ Rx [OW “FAQ .I‘l'ar 1., Cb) $144 owf glad «ASW 4A€SM\J’ AQ’ZLAJL (HA. x) 4L4.» +1”. maau—Q 5156.44 cow-x Mfim~K [adv—@244 ‘E‘L‘ oer 3k p'tad’es (2‘) Agi‘k' “L3 bv—Q, "Rd. A! LAM 0‘? +th. Pka'ko (99:31»; a mmcuw—Ll 'H‘L _ 4’er (Oaks (1' [UL N JR €11»; “(Y ¥Lm+ wholwci’OF. E5) 0042.. LL44 ow “Hitoc‘: ‘HNQ, {Lush LL ‘9 £714 “’53“: “(ecu-L (Aw IWQM ”K” L 'FLLCk COROLLA/(+0 / ('S 6 xiv-bu. L3 @E=—g; =>5=€oE plug ‘HMLM I; . . 5' +0 oQQrMé E: 2': ULSL Cflauss’ Lewd J (.lA o 02. LSLWJ (14w: SKA“ shr 'GNJ, «Is Ox. “AKIMLU 'H- and“; QMAA @4144 “Ha. coudud’or wwLS+ :01 50 ha is 14.0 awbkmh-L‘ Gum 'Uxack pm"? 0'5 aussith smr EAL—L “\SO LVS €5MM+N3J he F. {3d,} ya kika SLQLQJ 5G Chuw “‘00“— ‘HND- Skr‘EkLL ) So oak: w+r1LaLAJCL¢>kq .0.) £0“ +4) 6! Lbla‘hAA/ 2,“ngle _ A. ‘ ‘5 — _ {1.4.4 6' 3T_ - 5E 0““ ‘ E 301‘“ — EA / IS chap); / 10w “14+ - e (.1494 6‘ b3 ngmifi’s'} E \8 => E: in 1: ’- “‘4’“ wksfuwt a. 4:99 d4 64A €30 onluh-J‘Qn/ ...
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