4. Electric field lines with respect to equipotential surfaces are

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1 Pre-es Quasi-saic elecromagneism. The field produced by primary charge Q and by an uncharged conducing plane disanced from Q by disance d is equal o he field produced wihou conducing plane by wo following charges: A. Q and Q disanced by d from one anoher. B. Q and Q disanced by d from one anoher. A. Q and Q disanced by d from one anoher. B. Q and -Q disanced by d from one anoher. C. Q and -Q disanced by d from one anoher.. Four poin charges of equal magniude Q are placed a he corners of a square. The cenre of he square is a he origin of he x-y coordinae sysem. A which poins he elecric poenial creaed by hese charges equals o zero? A. A he cener of he square. B. Everywhere on he x-axis. C. Everywhere on he y-axis only. D. Everywhere on boh x-axis and y-axis. E. Nowhere 3. elec all correc dependencies of saic elecric field E a disance r from a source, where he source is eiher a poin charge Q or a dipole p ( is universal elecric consan) Q A. E B. E Q r 3 r p C. E D. r p E 3 r 3 r p 3 r r E. p r E r 3 4. Elecric field lines wih respec o equipoenial surfaces are A. Always parallel o equipoenial surfaces B. Always orhogonal o equipoenial surfaces C. Can form eiher sharp or obuse angles wih equipoenial surfaces depending on he locaion of charges, dielecric and meal inerfaces, ec. D. Form sharp angles wih equipoenial surfaces in presence of charges E. Form obuse angles wih equipoenial surfaces in presence of charges 5. elec all correc formulas relaing E o he volage U in he capacior if he disance beween plaes is d and he permiiviy of dielecric beween plaes is an is a uni vecor orhogonal o he capacior s plaes. A. E= an Ud. B. E= an U/d. C. E= an U/ d. D. E= an U/d. E. E=U/d.

2 6. elec all incorrec formulas for elecric field inensiy E A. E d End B. End d, where is densiy of charges B. En lef En righ, where index n means he normal componen of E a he lef and a he righ sides of a (verical) boundary beween wo dielecric media C. E lef E righ, where index means he angenial componen of E a he lef and a he righ sides of a (verical) boundary beween wo dielecric media D. E U, where U is elecric poenial (funcion of coordinaes) 7. Le he magniude of he force acing in he given elecric field on he +Q charge be F. Wha is he magniude of he force on he charge -Q? (a) -F (b) -F (c) F (d) F (e) oher 8. Two charges +Q and -4Q are disanced by d. Le he magniude of he force acing on he +Q charge be F. Increase he disance d riply. Wha is he force acing on charge -4Q: (a) 4F/3 (b) 4F/9 (c) F/9 (d) 4F/9 (e) +4F-3 9. A posiive charge was immovable a he cener of a region filled wih a uniform elecric field. When he charge is released from res wha will is subsequen moion? (a) I will move a a consan speed (speed is absolue value of velociy). (b) I will move a a consan velociy. (c) I will move a a consan acceleraion. (d) I will move wih a linearly changing acceleraion. (e) I will remain a res in is iniial posiion. 0. Wha happens o is poenial energy, afer he charge of Quesion 9 is released: (a) (b) (c) (d) (e) I will remain consan because he elecric field is uniform. I will remain consan because he charge remains a res. I will increase because he charge will move I will eiher decrease or increase depending on he direcion of elecric field. I will decrease because he charge will move in he direcion of he elecric field.

3 . An elecron is placed a a posiion on he x-axis where he elecric poenial is equal o Which idea below bes describes he fuure moion of he elecron? (a) The elecron will move lef (-x) since i is negaively charged. (b) The elecron will move righ (+x) since i is negaively charged. (c) The elecron will move lef (-x) since he poenial is posiive. (d) The elecron will move righ (+x) since he poenial is posiive. (e) The moion canno be prediced wih he informaion given.. A posiive charge was immovable a he cener of a region filled wih a uniform magneic field. When he charge is released from res wha will is subsequen moion? (a) I moves wih a consan velociy since he force has a consan magniude. (b) I moves wih a consan acceleraion since he force has a consan magniude. (c) I moves in a circle a a consan speed since he force is always perpendicular o he velociy. (d) I moves and acceleraes in a circle. (e) I remains a res since he force and he iniial velociy are zero. 3. Two wires I and II locaed near each oher in parallel carry currens i and 3i boh in he same direcion. Compare he forces ha he wo wires exer on each oher: (a) Wire I exers a sronger force on wire II han II exers on I. (b) Wire II exers a sronger force on wire I han I exers on II. (c) The wires exer equal magniude aracive forces on each oher. (d) The wires exer equal magniude repulsive forces on each oher. (e) The wires exer no forces on each oher. 4. When he elecric field inensiy E is boh solenoidal ( E div E=0) and irroaional ( E curl E=0) A. Never B. If produced by saic charges ouside he domain of charges C. In all cases ouside he charges even if hey are ime-varying D. In he elecromagneic wave E. I is always like his. 5. If a meal (e.g. copper) shell is placed in an exernal saic elecric field wha is E a he shell cener A. Always nonzero B. Nonzero only if here are charges a he inner surface of he shell C. Nonzero if here are charges a he ouer surface of he shell D. Always zero E. Zero or nonzero depending on he exernal field disribuion in space

4 6. If a meal (e.g. copper) shell is illuminaed by an inciden elecromagneic wave he elecric field a he shell cener is A. Always negligible compared o he inciden field B. Negligible if he shell hickness is smaller han he skin-deph of he copper C. Negligible if he shell hickness is larger han he skin-deph of he copper D. Exacly zero E. Zero or nonzero depending on he shell geomery and inciden field polarizaion 7. The Lorenz force equaion for he charge q moving wih velociy v in a magneic field wih flux densiy B is as follows: A. F qv B B. F qb C. F q v B D. F qvb E. F qbv 8. The force acing in he magneic field B o a curren elemen Idl equals o A. B Idl IB dl C. Id l B D. I dl B E How saic magneic field B depends on he disance r from a uniform linear curren: A. Aenuaes as /r. B. Aenuaes as /r. C. Does no vary D. Increases as r. E. Increases as r. 0. elec incorrec formulas for he magneic flux densiy A. B d Bnd B. B d n 0, where is densiy of charges C. Bn lef Bn righ, where index n means he normal componen of B a he lef and a he righ sides of a verical boundary beween wo magneic media D. B lef B righ, where index means he angenial componen of B a he lef and a he righ sides of a verical boundary beween wo magneic media E. Bn d J, where J is he densiy of curren flowing across surface

5 . If a magneic (iron) shell is placed in an exernal saic magneic field wha is B a he shell cener A. Always nonzero B. Nonzero only if here are charges a he inner surface of he shell C. Nonzero if here are charges a he shell ouer surface D. Always zero E. Zero or nonzero depending is he exernal field value smaller or larger han he sauraion hreshold of he magneic maerial. The elecromoive force in an oupu coil of a power ransformer arises due o A. Elecric field of bound charges induced in he core B. Magneic field of a seady curren in he inpu coil C. Magneic field of an alernaing curren in he inpu coil D. Boh elecric and magneic fields E. No correc answer above 3. Can power ransformers operae wih seady currens? A. Never B. Can if he number of urns in he coils is large enough C. Can if here is a common magneic core of wo coils D. Yes, why no? E. Can if is placed in a suiable medium, e.g. in sea waer 4. elec he correc form for he Faraday s law A. E d n, where is area of a conducing conour, in which EMF is induced B. E dl, where l is conducing conour, dl is elemen s vecor l C. B dl D. l B d n E. B d l l 5. Componen of elecric field inensiy E normal o he boundary of wo differen dielecric media is A. always coninuous across he boundary B. always has he boundary sep C. has he boundary sep a any charged boundary D. has he boundary sep only a a boundary wih free charges E. has he boundary sep only a a boundary wih bound charges

6 6. Componen of elecric flux densiy D=0E normal o he boundary beween a dielecric medium and free space is A. always coninuous across he boundary B. always has he boundary sep C. has he boundary sep a any charged boundary D. has he boundary sep only a a boundary wih free charges E. has he boundary sep only a a boundary wih bound charges 7. Normal o he boundary beween a conducor and a dielecric of (relaive) permiiviy componen of E is equal a his boundary o A. B. D., where is he surface densiy of charges a he boundary C. 0 0 E A componen of saic magneic field ension H= B/0 angenial o he boundary of a magneic medium wih free space A. is always coninuous across he boundary B. always has he boundary sep C. may have he boundary sep only if he magneic maerial is conducing (iron) because surface curren is possible D. is coninuous across he boundary even in presence of surface currens E. has he boundary sep if he magneic maerial is non-conducing (ferrie) 9. Componen of magneic flux densiy B normal o he boundary of a magneic medium and anoher medium A. always has he boundary sep B. is always coninuous across he boundary C. has he boundary sep if magneic maerial is conducing (iron) D. has he boundary sep only a a boundary on which currens flow E. has he boundary sep if magneic maerial is non-conducing (ferrie) 30. The elecric energy densiy in he dielecric medium wih (relaive) permiiviy is equal o A. 0 E B. 0E C. E D. 0 0 E E. 0 E

7 3. The magneic energy densiy in he magneic medium wih (relaive) permeabiliy is equal o A. C. E. 0B B. D. 0 B 0 H 0H 0H 3. elec all correc formulas describing he Joule law in boh inegral and differenial forms: dp A. E where P is he elecric power dissipaed in he conducing volume, is d conduciviy dp E B. d dp C. E J, J=v is curren densiy (v is speed of charges of densiy ) d D. P E Jd E. P E Jd

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