TEST-03 TOPIC: MAGNETISM AND MAGNETIC EFFECT OF CURRENT Q.1 Find the magnetic field intensity due to a thin wire carrying current I in the Fig.

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1 TEST-03 TPC: MAGNETSM AND MAGNETC EFFECT F CURRENT Q. Fnd the magnetc feld ntensty due to a thn we cayng cuent n the Fg. - R 0 ( + tan) R () 0 ( ) R 0 ( + ) R 0 ( + tan ) R Q. Electons emtted wth neglgble speed fom an electon gun ae acceleated though a potental dffeence V along the -as. These electons emege fom a naow hole nto a unfom magnetc feld of stength dected along -as. Some electons emegng at slghtly degent angles as shown n the Fg. These paaal electons ae efocused on the -as at a dstance e e mv mv F 0 () -as mv e e mv Q.3 A squae loop ACD, cayng a cuent, s placed nea and coplana wth a long staght conducto cayng cuent - A L/ L Thee s no net foce on the loop () The loop wll be attacted by the conducto only f the cuent n the loop flows clockwse The loop wll be attacted by the conducto only f the cuent n the loop flows antclockwse The loop wll always be attacted by the conducto Q.4 A coppe we of damete.6 mm caes a cuent. The mamum magnetc feld due to ths we s T. The alue of s - 40 A 0 A C D L () 5 A A Q.5 A chage q moes wth a elocty m/s along - as n a unfom magnetc feld ( î + ĵ + 3 kˆ ) tesla - Chage wll epeence a foce n z-y plane () Chage wll epeence a foce along y as Chage wll epeence a foce along + z as Chage wll epeence a foce along z as Q.6 An electon s pojected wth elocty î n unfom magnetc feld 0 kˆ. The nstantaneous foce on ts s - e 0 ĵ () e 0 ĵ e 0 î e 0 kˆ Q.7 Rato of magnetc feld at the cente of a cuent cayng col of adus R and at a dstance of 3R on ts as s () Page of 6

2 Q.8 An electon s mong along poste -as. A unfom electc feld ests towads negate y-as. What should be the decton of magnetc feld of sutable magntude so that net foce on electon s zeo-? poste z-as () negate z-as poste y-as negate y-as Q.9 The magnetc feld at the cente of an equlateal 3 () Q.3 A conductng od of length and mass m s mong down a smooth nclned plane of nclnaton wth constant elocty. A cuent s flowng n the conducto n a decton pependcula to pape nwad. A etcally upwad magnetc feld ests n space. Then, magntude of magnetc feld s tangula loop of sde L and cayng a cuent s - Sde ew 9 0 4L () L 0 3 L 3 0 4L Q.0 A unfom magnetc feld ests n egon whch fom an equlateal tangle of sde a. The magnetc feld s pependcula to the plane of the tangle. A chage q entes nto ths magnetc feld pependculaly wth speed along pependcula bsecto of one sde and comes out along pependcula bsecto of othe sde. The magnetc nducton n the tangle s - m qa () m qa m qa m 4qa Q. A ccula col of adus. Cayng cuent s placed n unfom magnetc feld whch s pependcula to the plane of col, toque actng on the loop s - () 4 zeo Q. n adjacent fgue, all the wes ae long and paallel, f net foce/length on we s zeo, then d d wll be - 3 sn () tan cos sn Q.4 A cuent s unfomly dstbuted oe the coss secton of a long hollow cylndcal we of nne adus R and oute adus R. Magnetc feld aes wth dstance fom the as of cylnde as - () Q.5 Two nfntely long conductng we cay cuents, as shown n fgue. f the hozontal we cayng cuent poduces a magnetc feld at the pont P( d, d, 0), then the esultant magnetc feld at ths pont s A C d d Page of 6

3 d P d j 4A A k () k zeo k Q.6 An electon taellng wth a speed u along the poste -as entes nto a egon of magnetc feld whee = kˆ( 0). t comes out of 0 the egon wth speed then e y u = u at y > 0 () = u at y < 0 > u at y > 0 > u at y < 0 Q.7 An electon moes n a ccula obt wth a unfom speed. t poduces a magnetc feld at the cente of the ccle. The adus of the ccle s popotonal to - () Q.8 A we of length L mete cayng a cuent ampee s bent n the fom of a ccle. ts magntude of magnetc moment wll be - L L L L () Q.9 A long we caes a steady cuent. t s bent nto a ccle of one tun and the magnetc feld at the cente of the col s. t s then bent nto a ccula loop of n tuns. The magnetc feld at the cente of the col wll be - n () n n n Q.0 A mong col galanomete has 50 equal dsons. ts cuent senstty s 0-dsons pe mllampee and oltage senstty s dsons pe mllolt. n ode that each dson eads olt, the esstance n ohms needed to be connected n sees wth the col wll be () Q. Total magnetc nducton ( ) at s : F 0 ( ) kˆ C D E () 0 ( + + tan ) ( kˆ ) 0 ( + tan ) ( kˆ ) 0 ( tan ) kˆ Q. Dagam shows a thck walled hollow ppe wth cuent flowng n the shaded poton between a and b. Magnetc feld n the egon between a and b at a dstance fom cente wll be zeo a 0 a b a b () 0 0 b b a Q.3 f magnetc feld s along +e z-as and a potental dffeence s appled acoss an onzed gas chambe placed n the -y plane then : e e + + fee electons (kˆ) (+ e -decton) + e ons V () Magnetc foce on +e ons wll act along +y as () Magnetc foce on electons wll act along + y as oth () and () ae coect () oth () and () ae wong Page 3 of 6

4 nly () s coect nly () s coect Q.4 f the etenson n both the spngs nceases fom to 0 on flowng cuent n the od fom to A then, the alue of magnetc feld wll be - spng constant "K" A = length of od 0 mass of od = m () (0 ) Q.5 A chage patcle hang mass of kg comes out of acceleato tube wth knetc enegy 0 3 ev. Calculate the smallest magntude of magntc feld that should be appled n etcally downwads decton to just peent the chage patcle fom colldng the plate (Assume chage on patcle = chage of poton) K.Enegy = 0 3 ev Acceleato tuble Plate 0 (mete) Tesla () 4 Tesla 0.0 Tesla 0.04 Tesla Q.6 Two paallel wes cayng cuent and n the same decton, hae magnetc feld at the md pont between them. f cuent s swtched off then magnetc feld at the mdpont wll be - () / 4 /4 Q.7 n the dagam, A s a ccula col of we cayng an antclockwse cuent. C s an nfnte long staght we cayng a cuent pependcula nto the plane of pape though the cente of the col. Foce on C due to A s (R = Radus of col) - 0 C 0 0 () 0 Zeo R Q.8 A solenod of.5 mete length and 4.0 cm damete possesses 0 tuns pe cm. A cuent of 5 ampee s flowng though t. The magnetc nducton at as nsde the solenod s T A () 0 5 T 0 gauss 0 5 gauss Q.9 A poton and an alpha-patcle ente a unfom magnetc feld wth the same elocty. The peod of otaton of the alpha patcle wll be - fou tmes that of the poton () two tmes that of the poton thee tmes that of the poton same as that of the poton Q.30 A squae conductng loop of sde length L caes a cuent. The magnetc feld at the cente of the loop s- ndependent of L () popotonal to L nesely popotonal to L lnealy popotonal to L Q.3 A steam of electons s pojected hozontally to the ght. A staght conducto cayng a cuent s suppoted paallel to the electon steam and aboe t. f the cuent n the conducto s fom left to ght,what wll be the effect on the electon steam - The electon steam wll be pulled upwads () The electon steam wll be pulled downwads The electon steam wll be etaded The electon steam wll be speeded up towads the ght Q.3 A ccula col of we caes a cuent. PQ s a pat of a ey long we cayng a cuent and passng close to the ccula col. f the dectons of cuents ae those shown n fgue, what s the decton of foce actng on PQ? Page 4 of 6

5 Q Paallel to PQ, towads P () Paallel to PQ, towads Q At ght angles to PQ, to ght At ght angles to PQ, to the left Q.33 Two staght long conductos A and CD ae pependcula to each othe and cay cuents and. The magntude of the magnetc nducton at a pont P at a dstance d fom the pont n a decton pependcula to the plane ACD s - 0 ( + ) () d 0 d P ( ) 0 d 0 ( ) 4d Q.34 Two patcles and hang equal chages, afte beng acceleated though the same potental dffeence, ente a egon of unfom magnetc feld and descbe ccula paths of ad R and R espectely. The ato of masses of and s - (R /R ) / () (R /R ) (R /R ) (R /R ) Q.35 The feld nomal to the plane of a we of n tuns and adus whch caes a cuent s measued of the col at a small dstance h fom the cente of the col. Ths s smalle than the feld at the cente by the facton - 3 h h 3 () 3 h 3 h Q.36 n a coaal staght cable, the nne conducto and the oute conducto hae equal cuents n opposte dectons. The magnetc nducton s zeo - nsde the nne conducto () nsde the oute conducto n between the two conductos outsde the oute conducto Q.37 Two patcles and hang equal chages, afte beng acceleated though the same potental dffeence, ente a egon of unfom magnetc feld and descbe ccula paths of ad R and R espectely. The ato of mass of to that of s (R /R ) / () R /R (R /R ) R /R Q.38 Two wes PQ and QR, cay equal cuents as shown n Fg. ne end of both the wes etends to nfnty. PQR =. The magntude of the magnetc feld at on the bsecto angle of these two wes at a dstance fom pont Q s Q P 0 sn 4 0 tan 4 () R 0 cot( / ) 4 0 ( cos/ ) (sn / ) Q.39 Fo c = a and a < b < c, the magnetc feld at pont P wll be zeo when - a = b c a P b () a = 5 3 b a = 3 5 b a = 3 b Q.40 Two ccula cols and hang equal numbe of tuns and cay equal cuents n the same sense and subtend same sold angle at pont. f the smalle col s mdway between and, then f we epesent the magnetc nducton due to bgge col at as and due to smalle col at as then Page 5 of 6

6 d.. d/ /T /T = () = = = 4 Q.4 The col n a tangent galanomete s 6 cm n adus. f a cuent of 0 ma s to poduce a deflecton of 45º, then the numbe of tuns wound on t s (take hozontal component of eath's magnetc feld = T and 0 = Wb A m ) 9 () Q.4 A cuent cayng loop s placed n a unfom magnetc feld n fou dffeent oentatons,,, and V. f we aange them n deceasng ode of potental enegy, then Q.44 Unts of pole stength of a magnet ae - A m () A m A m A m Q.45 Wok done n tunng a magnet of magnetc moment M by an angle of 90 fom the magnetc medan s n tmes the coespondng wok done to tun though an angle of 60, whee n s - / () /4... > > > V > V > > V. () > > > V > V > > Q.43 The coect cue between and paamagnetc magnetc s - T fo () /T /T Page 6 of 6

Synopsis : 8. ELECTROMAGNETISM

Synopsis : 8. ELECTROMAGNETISM Synopss : 8. ELECTROMAGNETISM MAGNETIC EFFECTS OF CURRENT: 1. Electomagnetsm s the banch of physcs whch deals wth elaton between electcty and magnetsm.. A statc chage poduces only electc feld but movng