SECTION (A) : FLUX AND FARADAY S LAWS OF ELECTROMAGNETIC INDUCTION

Transcription

1 SETON () : FUX N FY S WS OF EETOMGNET NUTON. onsde the stuton shown n fg. The esstnceless we s sld on the fed ls wth nstnt velocty. f the we s eplced by esstnceless seccul we, the gntude of the nduced cuent wll () ncese () en the e () decese () ncese o decese depend on whethe the seccle bulges towds the esstnce o wy fo t.. nduct sque loop of sde l nd esstnce oves n ts plne wth unfo velocty v pependcul to one of ts sdes. unfo nd nstnt gnetc feld ests lo the pependcul to the plne of the loop n fg. The cuent nduced n the loop s () l / clockwse () l / ntclockwse () l / ntclockwse () zeo nduct loop s plced n unfo gnetc fled wth ts plne pependcul to the feld. n ef s nduced n the loop f () t s tnslted () t s otted bout ts s () t s otted bout dete () t s defoed 4. Soe gnetc flu s ched fo l of esstnce 0 oh. s esult n nduced cuent s developed n t, whch ves wth te s shown n fgu The gntude of che n flu though the l n Webes s (p) 4 () 4 () 3*. () 8 0. t(s) () 6 onsde the stuton shown n fg. f the swtch s closed nd fte soe te t s opened gn, the closed loop wll show () n ntclockwse cuent-pulse () clockwse cuent-pulse () n ntclockwse cuent-pulse nd then clockwse cuent-pulse () clockwse cuent-pulse nd then n ntclockwse cuent-pulse 6. Solve the pevous queston f the closed loop s pletely enclosed n the ccut ntn the swtch. () n ntclockwse cuent-pulse () clockwse cuent-pulse () n ntclockwse cuent-pulse nd then clockwse cuent-pulse () clockwse cuent-pulse nd then n ntclockwse cuent-pulse 7. onsde the follow stteents: () n ef cn be nduced by ov nducto n gnetc feld () n ef cn be nduced by ch the gnetc feld. () oth nd e tue () s tue but s flse () s tue but s flse () oth nd e flse 8. ll, nduct ccul loop s plced nsde lo solenod cy cuent. The plne of the loop ntns the s of the solenod. f the cuent n the solenod s ved, the cuent nduced n the loop s () clockwse () ntclockwse () zeo () clockwse o ntclockwse depend on whethe the esstnce n ncesed o decesed. 5.

2 9. z seccul nduct we s plced n yz plne n unfo gnetc feld dected lo postve z-decton. n nduced ef wll be developed between the ends of the we f t s oved lo: () postve decton () postve y decton () postve z decton () none of these y 0. f flu n l ches by, nd the esstnce of the l s, pove tht the chge flown n the l du the flu che s. (Note : t s ndependent of the te tken fo the ch) The flu of gnetc feld though closed nduct loop of esstnce 0.4 ches wth te cd to the equton 0.0t t whee t s te n sends. Fnd () the nduced ef t t = s. () the vege nduced ef n t = 0 to t = 5 s. () chge pssed though the loop n t = 0 to t = 5s (v) vege cuent n te ntevl t = 0 to t = 5 s (v) het poduced n t = 0 to t = 5s.. we - loop nfned n plne s otted n ts own plne wth soe ul velocty. unfo gnetc feld est n the egon. Fnd the ef nduced n the loop 3. closed ccul loop of 00 tuns of en dete 50 c & hv totl esstnce of 0 s plced wth ts plne t ght les to gnetc feld steth 0 Tesl. lculte the quntty of electc chge pss though t when the l s tuned though 80º bout n s n ts pln 4. solenod hs ss sectonl e of , nssts of 400 tuns pe ete, nd ces cuent of tun l s wpped tghtly ound the ccufeence of the solenod. The ends of the l e nnected to.5 essto. Suddenly, swtch s opened, nd the cuent n the solenod des to zeo n te s. Fnd the vege cuent n the l. 5. het pc devce nssts of l of 50 tuns & dus just nsde the body wth l of 000 tuns & dus c plced ncentclly just outsde the body. lculte the nduced F n the ntenl l, f cuent of n the etenl l llpses n 0 llsends. 6. Fgue llusttes plne fgues de of thn nductos whch e locted n unfo gnetc feld dected wy fo ede beyond the plne of the dw. The gnetc nducton stts dnsh. Fnd how the cuents nduced n these loops e dected.. () (b) (c) (d) n nfntely lo stght nducto les n the plne of sque loop wth n ohc esstnce & sde leth t dstnce 0 pllel to one of the loop's sdes. The cuent flow n the nducto ves cd to the lw = t3 whee s nstnt. Fnd the cuent n the loop t te t. 0 Pove tht the ef nduced n we of ny shpe n unfo gnetc feld hs gntude V. ( ) whee V s the velocty of the we nd s the poston vecto of one end of the we eltve to the othe end. The gnetc feld n the cylndcl egon shown n fgue nceses t nstnt te of 0.0 T/s. Ech sde of the sque loop cd nd def hs leth of.00 c nd esstnce of 4.00 Fnd the cuent (gntude nd sense ) n the we d f () the swtch S s closed but S s open (b) S s open but S s closed (c) both S nd S e open nd (d) both S nd S e closed.

3 0. ccul loop of dus s fed to otton s lo the z decton, so tht the plne of the loop lwys pependcul to the y pln The loop s ott n ntclockwse sense wth ul velocty, t t = 0 loop les n yz pln Gven unfo & nstnt etenlly ppled gnetc feld. = s sn k. Evlute the gnetc flu (t) though the loop & F (t) nduced n the loop. unfo gnetc feld est n cylndcl egon o dus 0c s shown n fgu unfo we of leth 80 c nd esstnce 4.0 s bent nto sque fe nd s plced wth one sde lo detes of the cylndcl egon. f the gnetc feld nceses t nstnt te of 0.00 T/s fnd the cuent nduced n the f 3. nstnt cuent s flow n ccul of dus. send whose dus s uch lle thn tht of the fst, s ov wth nstnt velocty V lo the s n such nne tht the plne of the ens pllel to the plne of the du the use of the oton. Fnd the u F nduced n the. plne spl wth get nube N of tuns wound tghtly to one nothe s locted n unfo gnetc feld pependcul to the spl s pln The outsde dus of the spl s tuns s equl to. The gnetc nducton ves wth te s = 0 sn t, whee 0 nd e nstnts. Fnd the pltude of ef nduced n the spl. SETON () : F N MOVNG O nduct od s oved wth nstnt velocty ss the two ends () f υ υ n gnetc feld. potentl dffeence ppes () f l nduct od of leth = s ov t velocty v = 4 /s k n le 30º wth ts leth. unfo gnetc feld = T ests n decton pependcul to the plne of oton. Then () V V = 8V () V V = 4V () V V = 8V () V V = 4V. υ l 3. 4 () none of these () f. n the fgue, lo thn we cy vy cuent = 0 sn t les t dstnce y bove one edge of ectul we loop of leth nd wdth W ly n the z pln Wht ef s nduced n the loop º v n the gven eent, the loop s oved wth nstnt velocty v n unfo gnetc feld n estcted egon of wdth. The te fo whch the ef s nduced n the ccut s: () b () () ( b ) () ( b ) sold nduct sphee of dus s oved wth velocty V n unfo gnetc feld of steth such tht s pependcul to V. The u.f. nduced between two ponts of the sphee s : () V () V () V () V

4 5 vetcl od of leth s oved wth nstnt velocty v towds Est. The vetcl ponent of the eth's gnetc feld s nd the le of dp s. The nduced.f. n the od s: () l v t 6 7. () l v sn () l v tn () l v s unfo gnetc feld ests n egon gven by 3 4 j 5 k. od of leth 5 s plced lo y s s oved lo s wth nstnt speed /sec. Then nduced.f. n the od wll be: () zeo () 5 v () 0 v () 5 v 0 Two stght nduct ls fo ght le whee the ends e joned. nduct b n ntct wth the ls stts fo vete t the te t = 0 & oves wth nstnt velocty of v /s to the ght s shown n fgu gnetc feld = 0 (Tesl) ponts out of the pg lculte: () The flu though the tle foed by the ls & b t t = 3.0 s. (b) The F ound the tle t tht t (c) n wht nne does the F ound the tle vy wth t unfo gnetc feld of nducton ests n ccul egon of dus. loop of dus encloses the gnetc feld t t = 0 nd then pulled t unfo speed v n the plne of the pp Fnd the decton of nduced cuent nd nduced F n the loop s functon of t 9. stght we wth esstnce of pe unt leth s bent to fo n le. od of the e we pependcul to the le bsecto (of ) fos closed tul loop. Ths loop s plced n unfo gnetc feld of nducton. lculte the cuent n the loop when the od oves t nstnt speed V. 0. we bent s pbol y = k s locted n unfo gnetc feld of nducton, the vecto be pependcul to the plne, y. t the oent t = 0 nnecto stts sld tnslton wse fo the pbol pe wth nstnt cceleton (fgue). Fnd the ef of electognetc nducton n the loop thus foed s functon of y. 90 y + 0 -shped nducto s locted n unfo gnetc feld pependcul to the plne of the nducto. 8. v /s nd vy wth te t the te d = 0.0 T/s. nduct nnecto stts ov wth n dt cceleton w = 0 c/s lo the pllel bs of the nducto. The leth of the nnecto s equl to = 0 c. Fnd the ef nduced n the loop t =.0 s fte the begnn of the oton, f t the oent t = 0 the loop e nd the gnetc nducton e equl to zeo. The self nductnce of the loop s to be neglected. SETON () : ENZ S W. Fg. shown hozontl solenod nnected to bttey nd swtch. ppe s plce on fctonless tck, the s of the be lo the s of the solenod. s the swtch s closed, the wll () en sttone () ove towds the solenod () ove wy fo the solenod () ove towds the solenod o wy fo t depend on. Two ccul ls nd e fc ech othe s shown n fgu The cuent though cn be lteed () thee wll be epulson between nd f s ncesed () thee wll be ttcton between nd f s ncesed () thee wll be nethe ttcton no epulson when s ched () ttcton o epulson between nd depends on the decton of cuent. t does not depend whethe the cuent s ncesed o decesed. ~

5 3. Two dentcl nductos P nd Q e plced on two fctonless fed nduct P Q ls nd S n unfo gnetc feld dected nto the pln f P s oved n the decton shown n fgue wth nstnt speed, then od Q v () wll be ttcted towds P () wll be epelled wy fo P () wll en sttony () y be epelled o ttcted towds P S 4. Two dentcl l ccul loops cy cuent ech ccult n the e decton. f the loops ppoch ech othe () the cuent n ech loop wll decese () the cuent n ech loop wll ncese () the cuent n ech loop wll en the e () the cuent n one loop wll ncese nd n the othe loop wll decese 5. sque l E wth ts plne vetcl s elesed fo est n hozontl unfo gnetc feld of leth. The cceleton of the l s () less thn g fo ll the te tll the loop sses the gnetc feld pletely () less thn g when t entes the feld nd gete thn g when t es out of the feld () g ll the te () less thn g when t entes nd es out of the feld but equl to g when t s wthn the feld E n the fgue shown, the gnet s pushed towds the fed lo the s of the nd t psses though the. () when gnet goes towds the the fce bees south pole nd N S the fce bees noth pole & e ght & left () when gnet goes wy fo the the fce bees noth pole fces espectvely nd the fce bees south pole () when gnet goes wy fo the the fce bees noth pole nd the fce bees south pole () the fce wll lwys be noth pol 6. etllc (non gnetc) wth ll cut s held hozontlly nd gnet s llowed to fll vetclly though the, then the cceleton of the gnet s : () lwys equl to g () ntlly less thn g but gete thn g once t psses though the () ntlly gete thn g but less thn g once t psses though the () lwys less thn g 8. nd e two etllc s plced t opposte sdes of n nfntely lo stght nduct we s shown. f cuent n the we s slowly decesed, the decton of nduced cuent wll be : () clockwse n nd ntclockwse n () ntclockwse n nd clockwse n () clockwse n both nd () ntclockwse n both & 9. b gnet s elesed fo est lo the s of vey lo, vetcl ppe tub fte soe te the gnet () wll stop n the tube () wll ove wth lost nstnt speed () wll ove wth n cceleton g () wll oscllte 7. SETON () : UT POS & MEHNS nstnt foce F s be ppled on od of leth ' l ' kept t est on two pllel nduct ls nnected t ends by esstnce n unfo gnetc feld s shown. () the powe delveed by foce wll be nstnt wth te () the powe delveed by foce wll be nces fst nd then wll decese () the te of powe delveed by the etenl foce wll be nces ntnuously () the te of powe delveed by etenl foce wll be deces ntnuously. s fed nduct sooth l plced n vetcl plne. PQ s nduct od whch s fee to slde on the ls. hozontl unfo gnetc feld ests n spce s shown. f the od PQ n elesed fo est then,

6 () The od PQ wll ove downwd wth nstnt cceleton () The od PQ wll ove upwd wth nstnt cceleton () The od wll ove downwd wth deces cceleton nd fnlly cqcue nstnt velocty () ethe o. -3. ectul fe of we bcd hs densons 3 c 8.0 c nd totl esstnce of.0. t s pulled out of gnetc feld = 0.0 T by pply foce of N (fgue). t s found tht the fe oves wth nstnt speed. Fnd () ths nstnt speed, (b) the ef nduced n the loop, (c) the potentl dffeence between the ponts nd b nd (d) the potentl dffeence between the ponts c nd d. -4. ectul loop wth sld nnecto of leth s locted n unfo gnetc feld pependcul to the loop plne (fgue). The gnetc nducton s equl to. The nnecto hs n electc esstnce, the sdes nd hve esstnces nd espectvely. Neglect the self-nductnce of the loop, fnd the cuent flow n the nnecto du ts oton wth nstnt velocty v. V P P onsde the stuton shown n fgu The wes PQ nd PQ e de to slde on the ls wth the e speed 5 c/s. Fnd the electc cuent n the 9 essto f () both the wes ove towds ght nd (b) f PQ oves towds left but PQ oves towds ght. 4 c 5. 9 Q Q =.0 T Suppose the 9 essto of the pevous poble s dsnnected. Fnd the cuent though PQ n the two stutons () nd (b) of tht pobl 7. onsde the stuton shown n fgu The we PQ hs neglgble esstnce nd s de to slde on the thee ls wth nstnt speed of 5 c/s. Fnd the cuent n the 0 essto when the swtch S s thown to () the ddle l (b) botto l. P c 0. c Q The cuent geneto g, shown n fgue, sends nstnt cuent though the ccut. The we cd s fed nd b s de to slde on the sooth, thck ls wth nstnt velocty v towds ght. Ech of these wes hs esstnce. Fnd the cuent though the we cd. we of ss nd leth cn slde feely on p of sooth, vetcl ls (fgue). gnetc feld ests n the egon n the decton pependcul to the plne of the ls. The ls e nnected t the top end by n ntlly unchged cpcto of cpctnce. Fnd the cceleton of the we neglect ny electc esstnc Fgue shows sooth p of thck etllc ls nnected ss bttey of ef hv neglgble ntenl esstnc we b of leth nd esstnce cn slde soothly on the ls. The ente syste les n hozontl plne nd s esed n unfo vetcl gnetc feld. t n nstnt t, the we s gven ll velocty towds ght. () Fnd the cuent n the we t ths nstnt. (b) Wht s the foce ct on the we t ths nstnt. Show tht fte soe te the we b wll slde wth nstnt velocty. Fnd ths velocty. d 9. S =.0T g v c b b

7 .. Fgue shows we sld on two pllel, nduct ls plced t septon. gnetc feld ests n decton pependcul to the plne of the ls. Wht foce s necesy to keep the we ov t nstnt velocty v? Fgue shows lo U-shped we of wdth plced n pependcul gnetc feld. we of leth s sld on the U-shped we wth nstnt velocty v towds ght. The esstnce of ll the wes s pe unt leth. t t = 0, the sld we s close to the left edge of the U-shped w w n equvlent ccut dg t te t, show the nduced ef s bttey. lculte the cuent n the ccut. v v 3. onsde the stuton of the pevous pobl () lculte the foce needed to keep the sld we ov wth nstnt velocty v. (b) f the foce needed just fte t = 0 s F0, fnd the te t whch the foce needed wll be F0/. 4. we b of leth, ss nd esstnce sldes on sooth, thck p of etllc ls joned t the botto s shown n fgu The plne of the ls kes n le wth the hozontl. vetcl gnetc feld ests n the egon. f the we sldes on the ls t nstnt speed v, v s n the fgue, EF s fed nduct sooth fe n vetcl pln nduct unfo od GH of ss cn ove vetclly nd soothly wthout los ntct wth the f GH lwys ens hozontl. t s gven velocty u upwds nd elesed. Tk the cceleton due to gvty s g nd ssu tht no esstnce s pesent othe thn. Fnd out te tken by od to ech the hghest pont. 5. g sn b show tht = Two pllel vetcl etllc ls nd e septed by. They e nnected t the two ends by esstnce nd s shown n the fgu hozontl etllc b of ss 0. kg sldes wthout fcton, vetclly down the ls unde the cton of gvty. Thee s unfo hozontl gnetc feld of 0.6T pependcul to the plne of the ls. t s obseved tht when the tenl velocty s ttned, the powe dsspted n nd e 0.76 W nd. W espectvely. Fnd the tenl velocty of b nd vlue nd. 7. b of ss s pulled hozontlly (n z plne) ss set of pllel ls by ssless st tht psses ove n del pulley nd s ttched to feely suspended ss M. t t = 0 b s t est. Fnd the hozontl speed of the b s functon of te t. s nstnt nd s lo +y s. 8. Two pllel lo sooth nduct ls septed by dstnce e nnected by ovble nduct nnecto of ss ''. Tenls of the F ls e nnected by the essto & the cpcto s shown. unfo gnetc feld pependcul to the plne of the ls s swtched on. The nnecto s dgged by nstnt foce F. Fnd the speed of the nnecto s functon of te f the foce F s ppled t t = 0. lso fnd the tenl velocty of the nnecto. 9. lo stght we ces cuent 0. t dstnce nd b fo t thee e two othe wes, pllel to the foe one, whch e ntennected by esstnce (fgue). nnecto sldes wthout fcton lo the wes wth nstnt velocty. ssu the esstnces of the wes, the nnecto, the sld ntcts, nd the self-nductnce of the fe to be neglgble, fnd; () The gntude nd the decton of the cuent nduced n the nnecto; (b) The foce equed to ntn the nnecto s velocty nstnt. (c) Pont of pplcton of gnetc foce on sld we due to the lo w 6.

8 SETON (E) : F NUE N O O OOP N NONUNFOM MGNET FE E E-. E 3. Fo the stuton shown n the fgue, flu though the sque loop s : 0 n () b 0b n () b 0 b n () b 0 n () b nfntely lo we b b ccul ppe- of dus tnsltes n ts plne wth nstnt velocty v. unfo gnetc feld ests n the spce n decton pependcul to the plne of the. onsde dffeent ps of detclly opposte ponts on the. () etween whch p of ponts s the ef u? (b) etween whch p of ponts s the ef nu? Wht s the vlue of ths nu ef? 0 The gnetc feld n egon s gven by = k y whee s fed leth. nduct od of leth les lo the Y-s between the ogn nd the pont (0,, 0). f the od oves wth velocty v v 0, fnd the ef nduced between the ends of the od. nduct od sldes on p of thck etllc ls ld pllel to n nfntely lo fed we cy nstnt cuent. The cente of the od s t dstnce fo the w The ends of the ls e nnected by essto of esstnce. () Wht foce s needed to keep the od sld t nstnt speed v, s shown n fgue? (b) n ths stuton wht s the cuent n the esstnce? (c) Fnd the te of het developed n the essto. (d) Fnd the powe delveed by the etenl gent eet the foce on the od. V E 4. Fgue shows sque fe of we hv totl esstnce plced plnly wth lo, stght w The we ces cuent gven by = 0 sn t. Fnd () the flu of the gnetc feld though the sque fe, (b) the ef nduced n the fe nd (c) the 0 het developed n the fe n the te ntevl 0 to. ectul etllc loop of leth l nd wdth b s plced plny wth lo we cy cuent (fgue). The loop s oved pependcul to the we wth speed v n the plne ntn the we nd the loop. lculte the ef nduced n the loop when the e end of the loop s t dstnce fo the w Solve by us Fdy s lw fo the flu though the loop nd lso by eplc dffeent segents wth equvlent bttees. b E 6. E 5. b v cuent of 0 s flow n lo stght we stuted ne ectul ccut whose two sde of leth 0. e pllel to the w One of the s t dstnce of 0.05 nd the othe t dstnce of 0. fo the w The we s n plne of the ectl Fnd the gnetc flu though the ectul ccut. f the cuent decys unfoly to zeo n 0.0 sec, fnd the F nduced n the ccut nd ndcte the decton n whch the nduced cuent flow. E 8. Two nfnte lo stght pllel wes nd e septed by 0. dstnce nd cy equl cuent n opposte dectons. sque loop of we of sde 0. les n the plne nd. The loop of we s kept pllel to both nd t dstnce of 0. fo the neest w lculte the F nduced n loop whle the cuent n nd s nces t the e te of 0 3 s. lso ndcte the decton of cuent n loop E 7. SETON (F) : NUE F N O, NG, S OTTNG N UNFOM MGNET FE F. od leth l ottes wth ll but unfo ul velocty bout ts pependcul bsecto. unfo gnetc feld ests pllel to the s of otton. The potentl dffeence between the cente of the od nd n end s () zeo () l 8 () l () l

9 F. od of leth l ottes wth unfo ul velocty bout ts pependcul bsecto. unfo gnetc feld ests pllel to the s of otton. The potentl dffeence between the two ends of the od s () zeo () l () l () l F 3. F 4. od of leth 0 c de up of nduct nd non-nduct tel (shded pt s non-nduct). The od s otted wth nstnt ul velocty 0 d/sec bout pont O, n nstnt gnetc feld of tesl s shown n the fgu The nduced ef between the pont nd of od wll be () 0.09 v () 0. v () 0.05 v () v c O 3c seccul we of dus s otted wth nstnt ul velocty bout n s pss though one end nd pependcul to the plne of the w Thee s unfo gnetc feld of steth. The nduced.f. between the ends s: () / () () s vble () none of these Two dentcl cycle wheels (geoetclly) hve dffeent nube of spokes nnected fo cente to. One s hv 0 spokes nd othe hv only 0 (the nd the spokes e esstnceless). One esstnce of vlue s nnected between cente nd. The cuent n wll be: () double n fst wheel thn n the send wheel () fou tes n fst wheel thn n the send wheel () wll be double n send wheel thn tht of the fst wheel () wll be equl n both these wheels. F 5. n the fgue thee e two dentcl nduct ods ech of leth ott wth ul speed n the dectons shown. One end of ech od touches nduct. Mgnetc feld ests pependcul to the plne of the s. The ods, the nduct s nd the led wes e esstnceless. Fnd the gntude nd decton of cuent n the esstnce. F 7. ccul l of one tuns of dus 5.0 c s otted bout dete wth nstnt ul speed of 80 evolutons pe nut unfo gnetc feld = 0.00 T ests n decton pependcul to the s of otton. Fnd () the u ef nduced. (b) the vege ef nduced n the l ove lo peod nd (c) the vege of the sques of ef nduced ove lo peod. F 8. bcycle s est on ts stnd n the est-west decton nd the e wheel s otted t n ul speed of 00 evolutons pe nut f the leth of ech spoke s 30.0 c nd the hozontl ponent of the eth s gnetc feld s T, fnd the ef nduced between the s nd the oute end of spok Neglect centepetl foce ct on the fee electons of the spok F 9. Fgue shows nduct dsc ott bout ts s n pependcul gnetc feld. essto of esstnce s nnected between the cente nd the. lculte the cuent n the essto. oes t ente the dsc o leve t t the cente? The dus of the dsc s 5.0 c, ul speed = 0 d/s, = 0.40 T nd = 0. etl dsc of dus = 0. s plced pependcul to unfo gnetc feld of nducton = 0.50 T. t s cpble of otton bout n s XY pllel to the nducton, the s s pss though ts cent Us sld ntcts & the dsc s nnected to esstnce =.5. etene the echncl powe equed n ott the dsc f cuent of 0.0 flows though. lso fnd the ul velocty of otton of the dsc. Fcton cn be neglected. thn we & ll sphecl bob nsttute sple pendulu of effectve leth. f ths pendulu s de to sw though se-vetcl le, unde gvty n plne nol to unfo gnetc feld of nducton, fnd the u potentl dffeence between the ends of the w F 6. F 0. F. //////////////////////

10 F. F 3. F 4. F 5. nduct dsc of dus s oll wthout sld on hozontl sufce wth nstnt velocty ' v '. unfo gnetc feld of steth s ppled nol to the plne of the dsc. Fnd the F nduced between () P&Q (b) P &. ( s cente, P&Q e opposte ponts on vetcl dete of the dsc) ccul l of one tuns of dus 5.0 c s otted bout dete wth nstnt ul speed of 80 evolutons pe nute unfo gnetc feld = 0.00 T ests n decton pependcul to the s of otton. Fnd () the u ef nduced. (b) the vege ef 0' 0 + nduced n the l ove lo peod nd (c) the vege of the sques of ef nduced ove lo peod. Suppose the ends of the l n the pevous poble e nnected to esstnce of 00 Neglect the esstnce of the l fnd the het poduced n the ccut n one nut we shped s se-ccle of dus ottes bout n s OO' wth n ul velocty n unfo gnetc feld of nducton (fgue). The otton s s pependcul to the feld decton. The totl esstnce of the ccut s equl to. Neglect the gnetc feld of the nduced cuent, fnd the en ount of thel powe be geneted n the loop du otton peod. () () () E E E cylndcl spce of dus s flled wth unfo gnetc nducton pllel to the s of the cylnd f ches t nstnt te, the gph show the vton of nduced electc feld wth dstnce fo the s of cylnde s G. SETON (G) : FXE OOP N TME VYNG MGNET FE & NUE EET FE E () n cylndcl egon unfo gnetc feld whch s pependcul to the plne of the fgue s nces wth te nd nduct od PQ s plced n the egon. Then () P wll be t hghe potentl thn Q. () Q wll be t hghe potentl thn P. () oth P nd Q wll be equpotentl. () no ef wll be developed ss od s t s not ss / cutt ny lne of foc G3 unfo gnetc feld of nducton s nfned to cylndcl egon of dus. The gnetc G. d (tesl/send). n electon of chge q, plced t the dt pont P on the pephey of the feld epeences n cceleton : feld s nces t nstnt te of () e d towd left dt () e d towd ght dt () e d towd left dt () zeo G4 nd e fed nduct sooth ls plced n vetcl plne nd joned by nstnt cuent souce t ts uppe end. PQ s nduct od whch s fee to slde on the ls. hozontl unfo gnetc feld ests n spce s shown. f the od PQ n elesed fo est then, () The od PQ wll ove downwd wth nstnt cceleton () The od PQ wll ove upwd wth nstnt cceleton () The od wll ove downwd wth deces cceleton nd fnlly cqcue nstnt velocty () ethe o. G 5. ccul loop of dus s plced n vy gnetc feld gven s = 6t Tesl. Fnd the ef nduced

11 n the l f the plne of the l s pependcul to the gnetc feld. G 6. n the bove queston fnd the vege electc feld n the tentl decton, nduced due to the ch gnetc feld. G 7. n the bove queston fnd the cuent n the loop f ts esstnce s /. G 8. The cuent n n del, lo solenod s ved t unfo te of 0.0 /s. The solenod hs 000 tuns/ nd ts dus s 6.0 c. () onsde ccle of dus.0 c nsde the solenod wth ts s ncd wth the s of the solenod. Wte the che n the gnetc flu though ths ccle n.0 sends. (b) Fnd the electc feld nduced t pont on the ccufeence of the ccl (c) Fnd the electc feld nduced t pont outsde the solenod t dstnce 8.0 c fo ts s. G 9. sque we loop wth sdes n pependcul to unfo gnetc feld, wth hlf the e of the loop n the feld. The loop ntns 0 V bttey wth neglgble ntenl esstnc f the gntude of the feld ves wth te cd to = 4 t, wth n Tesl & t n sec. () Wht s the totl F n the ccut? (b) Wht s the decton of the cuent? V () V 4 W () W 4 Two nductos nd e nnected n pllel nd te vy cuent flows s shown. The to of cuents / t ny te t s () / H. () 4 () 4 Two dffeent ls hve self-nductnce = 8 H, = H. The cuent n one l s ncesed t nstnt t The cuent n the send l s lso ncesed t the e t t cetn nstnt of te, the powe gven to the two ls s the t tht te the cuent, the nduced voltge nd the enegy stoed n the fst l e, V nd W espectvely. oespond vlues fo the send l t the e nstnt e, V nd W espectvely. Then H.* SETON (H) : SEF NUTON, SEF NUTNE SEF NUE F & MGNET ENEGY ENSTY () / () ( ) ( =0 ) ( ) H 3*. nstnt cuent s ntned n solenod. Whch of the follow qunttes wll ncese f n on od s nseted n the solenod lo s?, nces wth the te 5/sec () gnetc feld t the cente () gnetc flu lnked wth the solenod y = H () self-nductnce of the solenod () te of Joule het H 4. Fgue shows sque loop of sde 0.5 nd esstnce 0. The gnetc feld hs gntude =.0T. The wok done n pull the loop out of the feld unfoly n.0 s s () J () J ().5 0 J () J H 5. l of nductnce H nd neglgble esstnce s nnected to souce of supply whose voltge s gven by V = 4t volt. f the voltge s ppled when t = 0, then fnd the enegy stoed n the l n 4 send. () 5 J () 56 J () 04 J () 44 J v

12 H 6. The densons of the quntty /(V) s... H 7. Fnd the self nductnce of solenod whch hs 0 tuns pe c. ts leth s nd dus c. H 8. The fgue shows n nducto of H though whch cuent whch s nces t the te of 5/sec, s flow. Fnd the potentl dffeence VX-VY. H 9. Fgue shows pt of ccut. Fnd the te of che of the cuent, shown. 5V 0V 5V 3V H 3 0V 0H H 0. n vege ef of 0 V s nduced n n nducto when the cuent n t s ched fo.5 n one decton to the e vlue n the opposte decton n 0. s. Fnd the self-nductnce of the nducto. H. gnetc flu of webe s lnked wth ech tun of 00 tun l when thee s n electc cuent H. of 4 n t. lculte the self-nductnce of the l. The cuent n solenod of 40 tuns, hv leth of c nd dus of c, ches t te of 0.8 /s. Fnd the self ef nduced n t. uent n n nducto of self nductnce 6H ches fo to n sec. Fnd the ncese n the stoed enegy n the nducto. H 4. Fnd the te of ncese n the stoed enegy t t= sec n n nducto 5H f the cuent pss though t s gven s = t3 + 5t. H 5. n the ccut shown fnd () the powe dwn fo the cell, (b) the powe nsued by the essto whch s nveted nto het nd (c) the powe gven to the nducto. H 6. cuent of.0 s estblshed n tghtly wound solenod of dus c hv 000 tuns/et Fnd the gnetc enegy stoed n ech ete of the solenod. H 7. onsde ll cube of volue 3 t the cente of ccul loop of dus 0 c cy cuent of 4. Fnd the gnetc enegy stoed nsde the cub H 8. lo we ces cuent of Fnd the enegy stoed n the gnetc feld nsde volue of.00 3 t dstnce of 0.0 c fo the w H 9. lo we ces cuent of unfo densty. et be the totl cuent ced by the w Show tht H 3. the gnetc enegy pe unt leth stoed wthn the we equls on the we dete) (Note tht t does not depend H 0. Wht s the gnetc enegy densty (n tes of stndd nstnt & ) t the cente of ccult electon n the hydogen to n fst obt. (dus of the obt s ) H. Suppose the F of the bttey, the ccut shown ves wth te t so the cuent s gven by (t) = t, whee s n pees & t s n sends. Tke = 4, = 6 H & fnd n epesson fo the bttey F s functon of t SETON () : UT ONTNNG NUTNE, ESSTNE & TTEY, GOWTH N EY OF UENT N UT ONTNNG NUTO., nd epesent the physcl qunttes nductnce, cpctnce nd esstnce bntons hve densons of fequency? () () () 6 H 4 0 V 4

13 () /. n ccut wth bttey s nnected t t =0. Whch of the follow qunttes s not zeo just fte the nnecton? () cuent n the ccut () gnetc feld enegy n the nducto () powe delveed by the bttey () ef nduced n the nducto 3. n n ccut cuent t t = 0 s 0. fte s t educes to 8. The te nstnt of the ccut s (n send): 0 () ln 9 () 0 ln 9 () () 0 ln 9 n the ccut shown n fgue, swtch S s closed t t = 0. Then: () fte lo te ntevl potentl dffeence ss cpcto nd nducto wll be equl. () fte lo te ntevl chge on cpcto wll be E. () fte lo te ntevl cuent n the nducto wll be E /. 5. () 0.8 ().5 ().0 (). n the gven ccut fnd the to of to. Whee s the ntl (t t = 0) cuent, nd s stedy stte (t t = ) cuent though the bttey : 4. ccut nsst of nstnt.f. 'E', self nducton '' nd esstnce '' s closed t t = 0. The elton between the cuent n the ccut nd te t s s shown by cuve '' n the fgu When one o oe of petes E, & e ched, the cuve 'b' s obtned.the stedy stte cuent s e n both the cses. Then t s possble tht: () E & e kept nstnt nd s ncesed. () E & e kept nstnt nd s decesed () E & e both hlved nd s kept nstnt () E & e kept nstnt nd s decesed 7*. 6. () fte lo te ntevl cuent though bttey wll be e s the cuent though t ntlly. n sees gowth ccut, f u cuent nd u nduced ef n n nducto of nductnce 3H e nd 6V espectvely, then the te nstnt of the ccut s : () s. () /3 s. () /6 s () / s 8. solenod of esstnce 50 nd nductnce 80 Heny s nnected to 00 % of ts fnl equlbu vlue? lculte the u enegy stoed. V 9. b t t e y. H o w l o n g w l l t h e c u e n t t k e t o e c h 5 0 S Fnd the vlue of t/ fo whch the cuent n n ccut bulds up to () 90%, (b) 99% nd (c) 99.9% of the stedy-stte vlue (gven n 0 =.3) () 90%, (b) 99% (c) 99.9% n 0 =.3) 0. n nducto-l ces stedy-stte cuent of.0 when nnected ss n del bttey of ef 4.0 V. f ts nductnce s.0 H, fnd the te nstnt of the ccut.. l of esstnce 40 s nnected ss 4.0 V bttey, 0.0 s fte the bttey s nnected, the cuent n the l s 63. Fnd the nductnce of the l. [e 0.37]

14 . () n ccut hs =.0 H nd = 0. t s nnected ss n ef of.0 V t t = 0. Fnd d/dt t () t = 0, (b) t = 50 s nd (c) t. () Wht e the vlues of the self-nduced ef n the ccut of the pevous poble t the tes ndcted theen? 3. The cuent n dschg ccut wthout the bttey dops fo.0 to.0 n 0.0 s. () Fnd the te nstnt of the ccut. (b) f the nductnce of the ccut s 4.0 H, wht s ts esstnce? 4. onsde the ccut shown n fgu () Fnd the cuent though the bttey lo te fte the swtch S s closed. (b) Suppose the swtch s opened t t = 0. Wht s the te nstnt of the decy ccut? (c) Fnd the cuent though the nducto fte one te nstnt. 5. supenduct loop of dus hs self nductnce. unfo & nstnt gnetc feld s ppled pependcul to the plne of the loop. ntlly cuent n ths loop s zeo. The loop s otted bout ts dete by 80º. Fnd the cuent n the loop fte otton. Show tht f two nductos wth equl nductnce e nnected n pllel then the equvlent nductnce of the bnton s /. The nductos e septed by lge dstnc nduct fe s kept n vetcl pln nduct od EF of ss cn slde soothly on t en hozontl lwys. The esstnce of the loop s neglgble nd nductnce s nstnt hv vlue. The od s left fo est nd llowed to fll unde gvty nd nducto hs no ntl cuent. unfo gnetc feld of gntude s pesent thoughout the loop pont nwds. eten () poston of the od s functon of te ssu ntl poston of the od to be = 0 nd vetclly downwd s the postve X-s. (b) u cuent n the ccut (c) u velocty of the od closed ccut nssts of souce of nstnt ef E nd choke l of nductnce nnected n sees. The ctve esstnce of the whole ccut s equl to. t s n stedy stte t the oent t = 0 the choke l nductnce ws decesed buptly tes. Fnd the cuent n the ccut s functon of te t. n fgue, = 00 V, = 0, = 0, 3 = 30 nd = H. Fnd the vlue of &. () edtely fte swtch S w s closed (b) lo te fte (c) edtely fte S w s opened gn (d) lo te lt SETON (J) : MUTU NUTON & MUTU NUTNE J. Two ls e t fed loctons. When l hs no cuent nd the cuent n l nceses t the te 5.0 /s the.f. n l n 5.0 V, when l hs no cuent nd l hs cuent of 3.6, flu lnkge n l s () 6 Wb () 0 Wb () 4.00 Wb () 6.00 Wb J. Two ls nd hve effcent of utul nductnce M = H. The gnetc flu pss though l ches by 4 Webe n 0 sends due to the che n cuent n. Then () che n cuent n n ths te ntevl s 0.5 () the che n cuent n n ths te ntevl s () the che n cuent n n ths te ntevl s 8 () che n cuent of n l wll poduce che n flu pss though by 4 Webe b J.3 ectul loop of sdes nd b s plced n y pln vey lo we s lso plced n y plne such tht sde of leth of the loop s pllel to the w The dstnce between the we nd the neest edge of the loop s d. The utul nductnce of ths syste s popotonl to: () () b () /d () cuent n we J.4 Two ls of self nductnce 00 H nd 400 H e plced vey close to ech oth Fnd the u

15 utul nductnce between the two when 4 cuent psses though the () 00 H () 300 H () 00 H () none of these J.5 lo stght we s plced lo the s of ccul of dus. The utul nductnce of ths syste s () 0 J 6. 0 () 0 () 0 () + - The utul nductnce between two ls s.5 H. t the cuent n one l s ched t the te of /s, wht wll be the ef nduced n the othe l? J 8. Fnd the utul nductnces between the stght we nd the sque loop of fgu J 9. solenod of leth 0 c, e of ss-secton 4.0 c nd hv 4000 tuns s plced nsde nothe solenod of 000 tuns hv ss-sectonl e 8.0 c nd leth 0 c. Fnd the utul nductnce between the solenods v 3 () 6 () The fequency of oscllton of cuent n the nducto s: () () n the gven ccut f ntlly cpcto hs chge Q on t nd hs chge Q.The poltes e s shown n the fgu Then fte clos swtch S t t = 0 () enegy wll get eqully dstbuted n both the cpcto just fte clos the swtch. () ntl te of gowth of cuent n nducto wll be Q/3 () u enegy n the nducto wll be 3 Q/ () none of these MSENOUS b K. t=0 SETON (K) : OSTONS J 7. K. S The vege ef nduced n the sendy l s 0. V when the cuent n the py l ches fo to n 0. s. Wht s the utul nductnce of the ls. * ONE O MOE THEN ONE MY E OET :. n nducto l stoes enegy U when cuent s pssed though t nd dssptes enegy t the te of P. The te nstnt of the ccut when ths l s nnected ss bttey of zeo ntenl esstnce s U 4U U U () () () U P P P ectul loop wth sld nnecto of leth =.0 s stuted n unfo gnetc feld = T pependcul to the plne of loop. esstnce of nnecto s =. Two esstnces of 6 nd 3 e nnected s shown n fgu The etenl foce e- qued to keep the nnecto ov wth nstnt velocty v = /s s () 6N () 4N () N () N (). 3. etl od of esstnce 0 s fed lo dete of nduct of dus 0. nd les n -y pln Thee s gnetc feld (50T ) k. The

16 ottes wth n ul velocty = 0 d/s bout ts s. n etenl esstnce of 0 s nnected ss the cente of the nd. The cuent though etenl esstnce s () () () zeo 3 4 Two ncentc nd pln ccul ls hve d nd b (>> ) s shown n fgu esstnce of the nne l s. uent n the oute l s ncesed fo 0 to, then the totl chge ccult the nne l s : () 4. 0 () b 0 () 0b () ( ) 0b 5. Two nducto ls of self nductnce 3H nd 6H espectvely e nnected wth esstnce 0 nd bttey 0 V s shown n fgu The to of totl enegy stoed t stedy stte n the nductos to tht of het developed n esstnce n 0 sends t the stedy stte s(neglect utul nductnce between nd ): () () () etl dsc of dus ottes wth nstnt ul velocty bout ts s. The potentl dffeence between the cente nd the of the dsc n stedy stte s ( = ss of electon, e = chge on electon): > e () e < The dus of the ccul nduct loop shown n fgue s. Mgnetc feld s deces t nstnt te. esstnce pe unt leth of the loop s. Then cuent n we s ( s one of the detes) () () fo to () fo to () Zeo non nduct of dus nd ss hv chge q unfoly dstbuted ove ts ccufeence s plced on ough hozontl sufc vetcl te vy unfo gnetc feld = 4t s swtched on t te t=0. The effcent of fcton between the nd the tble, f the stts ott t t = sec, s : () 4q g 8. fo to 7. () b e e () () 6*. () () q g 8q () g q () g 9. nduct we fe s plced n gnetc feld whch s dected nto the pp The gnetc feld s nces t nstnt t The dectons of nduced cuents n wes nd e : () to nd to () to nd to () to nd to () to nd to 0. When the cuent n the poton of the ccut shown n the fgue s nd nces t the te of /s, the esued potentl dffeence Vb = 8V. Howeve when the cuent s nd deces t the te of /s, the esued potentl dffeence Vb = 4V. The vlues of nd e : () 3 oh nd heny espectvely () oh nd 3 heny espectvely () 0 oh nd 6 heny espectvely () 6 oh nd heny espectvely

17 The bttey shown n the fgue s del. The vlues e = 0 V, = 5, = H. ntlly the cuent n the nducto s zeo. The cuent though the bttey t t = s s () *. () 7 () 3 n the ccut dg shown () te nstnt s / () stedy stte cuent n nducto s / 3. () none of these () te nstnt s / () stedy stte cuent n nducto s / n the fgue shown sque loop PQS of sde '' nd esstnce '' s plced n ne n nfntely lo we cy nstnt cuent. The sdes PQ nd S e pllel to the w The we nd the loop e n the e pln The loop s otted by 80º bout n s pllel to the lo we nd pss though the d ponts of the sde Q nd PS. The totl ount of chge whch psses though ny pont of the loop du otton s : 0 n 0 n. () () 0 () cnnot be found becuse te of otton not gv () nduct loop ottes wth nstnt ul velocty bout ts fed dete n unfo gnetc feld n decton pependcul to tht fed det () The ef wll be u t the oent when flu s zeo. () The ef wll be '0' t the oent when flu s u. () The ef wll be u t the oent when plne of the loop s pllel to the gnetc feld () The phse dffeence between the flu nd the ef s / 5. closed ccut nssts of essto, nducto of nductnce nd souce of ef E e nnected n sees. f the nductnce of the l s buptly decesed to /4 (by eov ts gnetc e), the new cuent edtely fte ths oent s : (befoe deces the nductnce the ccut s n stedy stte) E E () zeo () E/ () 4 () 4 Fg. shows nduct loop be pulled out of gnetc feld wth nstnt speed v. Whch of the fou plots shown n fg. y epesent the powe delveed by the pull gent s functon of the nstnt speed v. 6. 4*. P v V 7. Two ccul loops of equl d e plced lly t soe septon. The fst s cut nd bttey s nsetted n between to dve cuent n t. The cuent ches slghtly becuse of the vton n esstnce wth tepetu u the peod, the two loops () ttct ech othe () epel ech othe () do not eet ny foce on ech othe () ttct o epel ech othe depend on the sense of the cuent 8. od oves wth unfo velocty v n unfo gnetc feld s shown n fg. V S

18 () The od bees electclly chged () The end bees postvely chged () The end bee postvely chged () The od bees hot becuse of Joule het 9. The swtches n fg.() nd (b) e closed t t = 0 nd eopened fte lo te t t = t0. () The chge on just fte t = 0 s. () The cuent n just befoe t = t0 s / () The chge on lo fte t = t0 s. () The cuent n lo fte t = t0 s / nduct les on hozontl pln f chged etllc ptcle s elesed fo pont (on the s) t soe heght fo the plne, then : () n nduced cuent wll flow n clockwse o ntclockwse decton n the loop depend upon the ntue of the chge () the cceleton of the ptcle wll decese s t es down () the te of poducton of het n the wll ncese s the ptcle es down () no het wll be poduced n the.. Swtch S s closed t t = 0 s shown n the ccut. fte lo te t s opened, then whch of the follow s ect opton : () totl het poduced n essto fte open the swtch s () V het poduced n essto fte open the swtch s ( ) V () no het wll be poduced n. unfo gnetc feld, = 0 t (whee 0 s postve nstnt), flls cylndcl volue of dus, then the ef nduced n the nduct od s : () 0 () 0 4 () 0 n the bove queston the potentl dffeence between the ponts nd of the od s : () 0 () zeo 4 supe nduct loop hv n nductnce '' s kept n gnetc feld whch s vy wth espect to t f s the totl flu, = totl nduced ef, then: () = nstnt () = 0 () = 0 () 0 () 0 4*. () 0 3. () V totl het poduced n essto fte open the swtch s. 0. () 0 5*. nduct od of leth sldes t nstnt velocty v on two pllel nduct ls, plced n unfo nstnt gnetc feld pependcul to the plne of the ls s shown n fgu esstnce s nnected between the two ends of the l. Then whch of the follow s/e ect : () The thel powe dsspted n the essto s equl to te of wok done by etenl foce gnst gnetc foce on the od. () f ppled etenl foce s doubled thn pt of etenl powe nceses the velocty of od. () enz s w s not tsfed f the od s cceleted by etenl foce () f esstnce s doubled then powe equed to ntn velocty bees hlf. 6. PQ s n nfnte cuent cy nducto. nd e sooth nduct ods on whch nducto EF oves wth nstnt velocty V s shown. The foce needed to ntn nstnt speed of EF s.

19 0 V b n () V 0 V b n V () () n nducto nd essto e nnected n sees wth dect cuent souce of ef E. The u te t whch enegy s stoed n the gnetc feld s : E 4 () E () E () 4E () 8. V 0 V b n () When nduced ef n nducto l s 50% of ts u vlue then stoed enegy n nducto l n the gven ccut wll be : - () 5J () 5 J () 0 J ().5 J 7. 0 V b V n EXESE- (JEEQuestonsof PevousYes). solenod hs n nductnce of 0 Heny nd esstnce of. t s nnected to 0 volt bttey. How lo wll t tke fo the gnetc enegy to ech /4 th of ts u vlue? [JEE - 96, 3 ks]. thn seccul nduct of dus s fll wth ts plne vetcl n hozontl gnetc nducton. t the poston MNQ the speed of the s v nd the potentl dffeence developed ss the s: [JEE - 96, ks] () zeo () V nd Q s t hghe potentl v nd M s t hghe potentl () V nd Q s t hghe potentl. () 3. The netwok shown n Fg. s pt of plete ccut. Wht s the potentl dffeence V V, when the cuent s 5 nd s deces t te of 0 3 (/s)? [ JEE - 97, ks] 4. Stte whethe the follow stteent s tue o flse gv eson n bef. The denson of (h/e) s the e s tht of gnetc flu. [EE - 97]

20 5. The gnetc flu though ech tun of 00 tun l s (t 3 t) 0 3 webe, whee t s n sends. The nduced F. t t = s s [EE - 97] () 4 V () + 4 V () V () + V 6*. The S unt of nductnce, the Heny, cn be wtten s: [JEE - 98, ks ] () Webe/pee () Volt send/pee () Joule/(pee) () Oh send 7. ll sque loop of we of sde s plced nsde lge sque loop of we of sde ( >> ). The loops e pln nd the centes ncd The utul nductnce of the syste s popotonl to: [JEE - 98, ks] () () () () etl od oves t nstnt velocty n decton pependcul to ts leth. nstnt, unfo gnetc feld ests n spce n decton pependcul to the od s well s ts velocty. Select the ect stteent(s) fo the follow [JEE - 98, ks] () The ente od s t the e electc potentl () Thee s n electc feld n the od () The electc potentl s hghest t cente of the od nd deceses towds ts ends () The electc potentl s lowest t cente of the od nd nceses towds ts ends. 9. n nducto of nductnce.0h, s nnected ss chged cpcto of cpctnce 5.0 F, nd the esult ccut s set oscllt t ts ntul fequency. et Q denote the nstntneous chge on the cpcto nd the cuent n the ccut. t s found tht the u vlue of Q s 00. [JEE - 98,8 ks] d / dt? () When Q=00, wht s the vlue of? () Fnd the u vlue of. () When Q = 00, wht s the vlue of 8. () When s equl to one hlf ts u vlue, wht s the vlue of swtch E Q cuent = 3.36 ( + t) 0 nceses t stedy te n lo stght w ll ccul loop of dus 0 3 s n the plne of the we nd s plced t dstnce of fo the w The esstnce of the loop s Fnd the gntude nd the decton of the nduced cuent n the loop. [EE - 98]. The eth's gnetc feld (y ) t equto s hozontl, unfo nd ponts noth-south. nduct sque loop of sde nd esstnce s kept n the vetcl plne wth two of ts sdes pont est-west decton. Ths loop s oved n est decton wth velocty v. The cuent nduced n the loop s- 0. [EE - 98] () v () v () 4 v () 0. Two dentcl ccul loops of etl we e ly on tble wthout touch ech oth oop- ces cuent whch nceses wth t n esponse, the loop- [JEE - 99, ks] () ens sttony () s ttcted by the loop- () s epelled by the loop- () ottes bout ts M, wth M fed 3. l of nductnce 8.4 H nd esstnce 6 s nnected to V bttey. The cuent n the l s.0 t ppotely the te () 500 s () 0 s 4. () 35 s [JEE - 99, ks] () s ccul loop of dus, cy cuent, les n -y plne wth ts cente t ogn. The totl gnetc flu though -y plne s [JEE - 99, ks]

21 () dectly popotonl to () dectly popotonl to 5. () dectly popotonl to () zeo gnetc feld = ( 0y / ) k s nto the ppe n the +z decton. 0 nd e postve nstnts. squ e loop EFG H of s de, s s nd es s tnc e, n -y plne, stts fll unde the nfluence of gvty. Note the dectons of nd y es n the fgu Fnd () the nduced cuent n the loop nd ndcte ts decton, (b) the totl oentz foce ct on the loop nd ndcte ts decton, nd (c) n epesson fo the speed of the loop, v(t) nd ts tenl vlu [JEE 99,0 ks] l hs nductnce = Heny nd esstnce = 0.5 esstnce of = 0 s nnected n pllel to the l. bttey of E = 5.0V s nnected n pllel to the l(see fgue). Now t soe nstnt the nnecton of the bttey s swtched off. Fnd the ount of totl het geneted n the l fte swtch off the bttey. [EE - 99] 7. etl od of leth 5 0 ottes bout n s pss though one end wth unfo ul velocty of 60 d s. unfo gnetc feld of 0. Tesl ests n the decton of the s of otton. lculte the F nduced between the ends of the od. [ EE - 99] 8. unfo but te-vy gnetc feld (t) ests n ccul egon of dus nd s dected nto the plne of the ppe, s shown fg. The gntude of the nduced electc feld t pont P t dstnce fo the cente of the ccul egon. [JEE - 000,3 ks ] () s zeo () deceses s / () nceses s () deceses s / l of we hv fnte nductnce nd esstnce hs nduct plced lly wthn t. The l s nnected to bttey t te t = 0, so tht te-dependent cuent (t) stts flow though the l. f (t) s the cuent nduced n the, nd (t) s the gnetc feld t the s of the l due to (t), then s functon of te (t > 0), the poduct (t) (t). [JEE - 000, 3 ks] () nceses wth te () deceses wth te () does not vy wth te () psses though u l of nductnce Heny nd esstnce 0 s nnected to esstnceless bttey of F 50 V t te t = 0. lculte the to of the te t whch gnetc enegy s stoed n the l to the te t whch enegy s suppled by the bttey t t = 0. s. [EE - 000] 3 The cuent n ccut bulds up to the of ts stedy stte vlue 4 n 4s. The te nstnt of ths ccut s [EE-000] () sec. n () sec. n () 3 sec. n 4 sec. n b gnet s plced lo the s of ccul t cetn dstnce fo ts cent The gnetc flu though the wll che, when the. [EE - 000] () s otted bout ts own s. () s otted bout one of ts detes. () oves towds the gnet () oves wy f o the gnet () *. 3. etllc sque loop s ov n ts own plne wth velocty v n unfo gnetc feld pependcul to ts plne s shown n the fgue n electc feld s nduced [JEE-00, 3 ks]

22 () n, but not n () nethe n no n 4. () n, but not n () n both nd Two ccul ls cn be ed n ny of the thee stutons shown n the fgu The utul nductnce wll be: [JEE-00, 3 ks] () () u n stuton () () u n stuton (c) (b) (c) () u n stuton (b) () the e n ll stutons n nducto of nductnce = 400 H nd esstos of esstnces nd of ech e nnected to bttey of F. E = V s shown n the fgu The ntenl esstnce of the bttey s neglgbl The swtch S s closed t te t = 0. Wht s the potentl dop ss s functon of te? fte the stedy stte s eched, the swtch s opened. Wht s the decton nd the gntude of cuent though s functon of te? [JEE-00,5 ks] 6. we n the fo of ccul loop of dus 0 c les n plne nol to gnetc feld of 00 T. f ths we s pulled to tke sque shpe n the e plne n 0. s, fnd the vege nduced F n the loop. [EE-00] 7. The cuent (n pee) n n nducto s gven by = t, whee t s n send. The self-nduced F n t s 0 V. Fnd () the self-nductnce, nd 5. (b) the enegy stoed n the nducto nd the powe suppled to t t t = send. [EE-00] s shown n the fg. P nd Q e two l nduct loops septed by soe dstnc When the swtch S s closed, clockwse cuent P flows n P (s seen by E) nd n nduced cuent Q flows n Q. The swtch ens closed fo lo t When S s opened, cuent Q flows n Q. Then the dectons of Q nd Q (s seen by E) e [ JEE 00 (Sceen)] () espectvely clockwse nd nt-clockwse () both clockwse () both nt-clockwse () espectvely nt-clockwse nd clockws 9. shot ccuted l s plced n te-vy gnetc feld. Electcl powe s dsspted due to the cuent nduced n the l. f the nube of tuns wee to be qudupled nd the we dus hlved keep the dus of the loop unched, the electcl powe dsspted would be: [ JEE 00 (Sceen)] () hlved () the e () doubled () qudupled n the fgue shown = 0 sn t. ssu ntclock cuent to be postve, plot the gph of chge on plte wth espect to t lso fnd the u cuent n the ccut. [JEE - 003] n nfntely lo cylndcl nduct od s kept lo + Z decton. nstnt gnetc feld s lso pesent n + Z decton. Then cuent nduced wll be [JEE (Sc. 005) 3/84] () 0 () lo +z decton () lo clockwse s seen fo + Z () lo ntclockwse s seen fo + Z 3. uent pss though lo solenod hv n tuns pe unt leth s = 0 sn t. Fnd nduced cuent though ppe shell hv esstvty s shown n fgu [JEE (Mns 005) 4/60] 8. OMPEHENSVE QUESTONS [ T-JEE 006, 5 o fo ech queston ] The cpcto of cpctnce cn be chged (wth the help of esstnce ) by voltge souce V, by clos swtch S whle keep swtch S open. The cpcto cn be nnected n sees wth n nducto by clos swtch S nd open S.

23 EXESE SETON () : 3.* (). Volt () () 5 /s (b)4.00 V (c)3.60 V(d) V. -4. = v /( + eq), whee eq = /( + ). 5. ().4 volt (v) 3.5 (v) 86/3 joul () zeo 493 V () n the ound nducto the cuent flows clockwse, thee s no cuent n the nnecto; (b) n the outsde nducto clockwse; (c) n both ound nductos, clockwse; no cuent n the nnecto, (d) n the left-hnd sde of the fgue eght, clockws 0 t. (d) zeo W s t n ] 4 Y () 5 Vt 0 5. SETON () :.. 0 ( ) 3 v / 4 e = (/3)p Nw T () Vt 0 V () lnely 8. clockwse, V 4 v t 9. (V sn ) / P( + sn ) 0. y 8 / k SETON () :. () (E v ), fo b to (b) E (E v ) towds ght (c).. zeo 3. () M E (t) = s s t, (t)= s sn t ().50 7, to d (b).5 0 7, d to. (c) zeo 0. g v upwds n t= (b) /v. u g g n 7. (Mg /){- e [ t /( M ) ] } t F F ( ) 8. V = e, Vtenl = 9. v 0 0 b n (b) F = 0 0v b () = n (c) (b ) / log (b /) fo the lo w SETON (E) : E E-. () t the ends of the dete pependcul to the velocty, v (b) t the ends of the dete pllel to the velocty, zeo. 0 v 0 v 0 ln () 4. v ( vt ) v ( vt ) V = s, = 0.47, = 0.30 E 3. d. = 3/ t = V.. dt. 6. E () 0. (b) (b) zeo () 0. (b) zeo. SETON () :.. (c) 0v ln (b) 0v ln (d) e s (c)

24 µ00 b 8 n b E 6. vb ( ) E 7. =.77 0 Wb, = V, clockwse decton E loge 5 4 volts, clockwse 3 SETON (F) : F. F. F 4. F 5. F 6. fo to F 7. () V (b) zeo (c). 0 7 V F V F W, 00 d/s F. g sn F. v () v (b) F 3. () V (b) zeo (c). 0 7 V F J *. 8. (/) ln =.04 s, 640 J 9. () ln 0 ~.3, (b) ln 00 ~ 4.6,(c)ln 000 ~ s. () () /s. 3. () 0. s = 0.4 s (b) 40 ln = 7.7 ln 4. () ( ) (b) (c) e () (b) (c) (d) = = 3.33 = 4.55 ; =.73 = 0, =.8 = = 0 () = g g [ s t], (b) =, W G. G4 G 5. G 7. G 8. 3 () webe (c) V/ G 9. () V, (b) clockwse G3 6 Volt G 6. J.4 J.5 J H J 7..5 V J 8. 0 ln b 3 N/ J p 0 3 H (b) V/ * *. 3. 4* V H W J. 5* * H 4. H 5. H 6. [ ] H H H 8. 0V H 9.. /s, deces H H H H t volt H 7. H J K.. H 3.* H 6. () 5 W (b) 3W (c) W K.. H. H 5. SETON (K) : MSENOUS * ONE O MOE THEN ONE MY E OET :,, H. g J.3 H.* 4 0 H 9J (c) V = SETON (H) : H. H 3. [ + ( ) e t /] J. 7. = SETON (J) : J. <P> = ( ) /8. G. 4.0 H (b) 0.74 /s (c) 0 (b) 0.74 V (c) 0 () () V 0.5, leves SETON (G) : J. F F 4. F 3.. b 0 n ;het = b SETON () : 0 b M00 s t d, E n = dt E e