PHYSICS 102. Intro PHYSICSELECTROMAGNETISM


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1 PHYS 0 Suen Nme: Suen Numbe: FAUTY OF SIENE Viul Miem EXAMINATION PHYSIS 0 Ino PHYSISEETROMAGNETISM Emines: D. Yoichi Miyh INSTRUTIONS: Aemp ll 4 quesions. All quesions hve equl weighs 0 poins ech. Answes mus be wien in he eminion book. All nswes mus hve eplnions n/o clculions o bck hem up. oec nswes o quesions wihou jusificion will eceive no cei. This is close book em. Fomule n consns cn be foun on he ls pge. lculos e pemie wih he ecepion of hose isplying lphbeicl e. The eminion ppe mus be eune. This em compises 5 pges.
2 PHYS 0. Thee chge picles wih he chge of q q q e fie he cones A B of sque of sie especively s shown below. () Fin he elecic fiel he cone D. (b) Fin he elecic poenil he cone D. (c) Fin he elecic poenil enegy of he sysem of hee chges he cones A B. () Now bing nohe chge picle q fom infiniely f wy o he cone D. Fin he wok equie fo his pocess. (e) When he chge picle D is elese fom es i moves wy fom he sysem of chges A B. lcule he spee of he picle when i is vey f wy. Use =.0 cm q = 5.0 n n he mss of he picle D m= 0 mg. Noe: Give numeicl nswe fo p (e) only. Answes fo () o () shoul be given using symbols.. onsie pllel ple cpcio wih ecngul ples of 5 mm 0 mm n gp 0.75 mm. The gp beween he ples is fille wih i. The cpcio is connece o bey 0 V. ) Fin he elecic fiel beween he pllel ples. b) Fin he cpcince of he cpcio n sufce chge ensiy. c) Fin he poenil enegy soe in he cpcio. ) A ielecic wih ielecic consn = 75 is insee beween he ples fe he bey is isconnece fom he cpcio. Fin he elecic fiel sufce chge ensiy cpcince n poenil enegy soe in he cpcio.
3 PHYS 0. onsie he cicui consising hee cpcios s shown below. Iniilly ll he swiches S S S e open. Tke V = 0 V =.0 F =. F = 0 F. () To chge he cpcio he swich S is close. Fin he chge n poenil enegy soe in. (b) Afe he swich S is opene he swich S is close. Fin he chge in he cpcios n (c) Fin he iffeence in he ol poenil enegy befoe n fe S is close. () The swich S is close while S emins close. Fin he chge in ech of he cpcios n. (e) Fin he ol poenil enegy soe in n. 4. onsie he cicui shown below. The swich S is iniilly open. () When he cpcio is fully chge fin he cuen in R n he poenil enegy soe in. Tke V = 5 V R =.0 k R = 0 k R =. k R 4 = 4.7 k = 00 F. Assume he cpcio is iniilly unchge. (b) Fin he cuen in R 4 immeiely fe he swich S is close. (c) Fin he cuen in R long ime fe he swich S is close. () Fin he cuen in ech of esisos R R R 4 long ime fe he swich is close. (e) Fin he powe elivee o R 4 n he poenil enegy soe in.
4 PHYS 0 Some fomule inegls n physicl consns: Elecic fiel poenil: F k q q ˆ E(ing is ) V U q k q F qe e q k E( ) ˆ E( ) k ˆ e E e ( line chge) y keq k qq e q E ( plne) U E E A ( ) 0 E A in 0 f keq q V keq E. s V V ke i 0 E V (ing is ) pcince cuen 0A b Q / V (pllel ple) (cyline) 0 ( sphee) 4 0 ln( b / ) b I Q U V P IV I R V IR J nqv I E J R n eq i A A i n n n R eq i R i R Q( ) Q0 ( e ) Q( ) Q 0 e i eq i u E 0E i Req R i Mgneic fiel inucion A cicui b F qv B F I B F I s B NIA B 0I s ˆ B 4 0I B(long wie) 0I 0I 0IR B ( line segmen ) (sin sin ) B(c) B(is of loop) 4 4R ( R ) B( solenoi) 0 ni B B s 0Iin B B A E s Bv I N NBA sin( ) B / R I( ) I 0 ( e ) I( ) I 0 e U I I B ( solenoi) 0n A u B I I 0 sin( ) I ms I 0 / V ms V 0 / X X /( ) V I Z ms ms cos R / Z n ( X X ) R Z 0 / R ( X ) X P cos V ms I ms 4
5 PHYS 0 Opics: c q v f n n sin n sin n n M sin m v p q f p m sin m y m y m ( m / ) n m n (m / ) R vg Nm min. / / D Some Inegls: n n ( b) ( b) ln( b) b( n ) b b ( b) b( b) ( n ) ln( b) n n ( b ) b( n )( b ) b b ln( ) ( ) ( ) n sin / ( ) sin ( ) / ( ) ln / ( ) ( ) sin ( ) ( ) e e e ( ) e sin( ) cos sin cos( ) n ln sec co ln sin ln ln n n n sin cos n n n cos sin n n sin n n sin cos cos n n Physicl consns: 8 c.0 0 m/s n. n. 5 n.6 0 we 9 k Nm / 4 0 glss i 9 e /Nm Tm/A 7 5
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