ies electrical engineering paper 1 1998

7/30/2019 IES Electrical Engineering Paper 1 1998

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I. E.S-tOBJ ) 1998 1 ol 15

ELECTRICAL ENGINEERING II_

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PAPERIO.lllsidcr the fo lio" ng s t u t c m c . n L ~ :In electrostatics. the EquipOLcntiaJ surlaceis dclincd us Ute u r f ~ c c whereI. electric field intensit) is normtd

C\ ery"herc.2. eleciric field intensity is tangential

everywhere-.3. no work is done in moving ''hurgcover lt.4. no charge is present.or hese statementsa. I ulonc correctb. J and 4 nrc oorrc(. '""'-' : ;e"> o(+(j"' l (" mt expression.Two point charges (QJ = Q. Q1 = 2Q) andan Infinite grounded rtnno shown lnthe 11gurc. The li>rccs Ft nnd F, , on QoandQ, . wi ll be in the rntio

Q;Qfd " : : : J_,.'.... "2Qa. I : Ib. I ; 2c. I : 4d. I : 8

rwu rl.'t:tungular luops anu inilnite wire.nil currying ourrent r tore $hown in thegh en ligure. If the force on luop I due tuthe in linitc wire were F'. then Ioree onlonp due to th.:. infinite wi t l' 1\l>ttld he

'4 1ta. F/3t>. P/2c. Fu. I ~2

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"' J ~ , l-lRp,, ld. 6R

ror a current element ldl. situated fi l annrbitnuy point muf:.'lle!ic v ~ c t o rpotential A (R is the dlsrance. of theohservntion poim from !he cen1re of the~ u m n l clcnlcnl)a. pldl l (4nR)b. p/d/ 1( -I11R ' lc. p/d/ 1(411'../Rid p!dllt2KR)rnngemial compont'nl f the. clectrk fieldon a perfect condu,1orwill (.,.,a infiniteb. ZCI(lc, same a< !11e nomml Jieh.l componentand 90 outofphased. same ll$ n0m1al eom poncm but180" outofphaselhe forl'e f per unit area On Lbe surface ofconductor. wllh surface charge dt:nsity cr.in the presence of an eleclric field is ta. isunh ourward normal tu the c.nnducrorsurface)

- < r -U. f ; - -QI2e.!,- (T ' -b. f : - (J,.;.,

C. f =e,, CT:;;ttd. f ; O

I (), Two C(lnducting, shells ()!'radii r 1 aud r. (r1> r1l. each with a n r g ~ o are placed farapan ln un itbrm external electnc field . l hospace surroundmg roch shell is filled withthe same diclecrric material. In !hissituauon, thea she lls 11 iII not experience any forceb. she lls will cxpcric.nce identical forcec. shell with radius r, will expenenee a

gremer forcetl shell wi llt rodius r, will experience "

g r e < ~ fore.:I I . When a closed conducting loop 'C ' isn11wing with a cons1an1 lieloc't) vthrough a non -uniform time-varyrog

m u g . ~ J c l l c f i ~ l d rr. ll t voltuge induced in01c lou11c; gtvcn by

.! o l 15a. - ~ J$illb. = - . (r" ).117c. t! = ~ (ax }.d7d I ! = -f78 (" _7i\ti7f'l "/11. An mlinite dielectric slab is un ithtml)IX'Ianzcd as 111 tllc li_gure. rhcelectric fie ld inside the slab ~ t i v c bv+ t - .

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2. Power flow d ~ n s i l y ...... .. .V 1l3. Displaccrueut cUIT(JUl _ U!_ nou

conducting mctl ium ..... .. E I fSe]Qcl UJc- Cl'I"CCI atl1WCf lliing the aode'given belown, 1 t1loneh. 2 3nd 3o. I nntl3tL I lllld 2If tho dechic field E - U I te' a, nnd ; 4 '=" - U1cn the d l . ~ p l n c t m e n t current

e r o ~ i n g """' ofO. I ml atl ; 0 wtu bea, 7.m" 0 .()4 " '"c. 0.4 .;.d. 4 ~l'he directivity of 11n .solropicantenna 1

ies electrical engineering paper 1 1998

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