A) N B) 0.0 N C) N D) N E) N

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Abner Townsend
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1 Cdinat: H Bahluli Sunday, Nvembe, 015 Page: 1 Q1. Five identical pint chages each with chage =10 nc ae lcated at the cnes f a egula hexagn, as shwn in Figue 1. Find the magnitude f the net electic fce n a pint electic chage Q = 5.0 nc lcated at the cente f the hexagn. (The distance between Q and is a = 1.0 mic-mete). a a Q ) N B) 0.0 N C) N D) N E) N Q. Fu pint chages ae lcated at the cnes f a suae (1.00 nm side), as shwn in Figue. If the pint chages ae given by 1 = 4 = 300 nc and = 3 =, find the value f s that the net electstatic fce n chage is ze? ) 849 nc B) nc C) 35 nc D) nc E) 300 nc

2 Cdinat: H Bahluli Sunday, Nvembe, 015 Page: Q3. Cnside thee distant sphees with initial chages Q1i =.0 C; Qi = 3.0 C and Q3i = 10 C. If we allw these sphees t tuch each the f a sht time and then we sepaate them. The new electstatic chages f these sphees becme Q1f = ; Qf = 1.5 and Q3f =.5. Find the value f. ) 3.0 C B) 1.0 C C).5 C D) 1.5 C E) 0 Q4. chaged paticle f mass m =.5 g and chage 5.0 mc has a velcity f V = 5 m/s in the psitive x diectin when it fist entes a egin whee the electic field is unifm (E = 4.9 N/C in the psitive y diectin) as shwn in Figue 3. What is the speed f the paticle.0 s afte it entes this egin? (Take g = 9.8 m/s ) ) 5 m/s B) 3 m/s C) 49 m/s D) 44 m/s E) 35 m/s Q5. Tw pint chages =.7 mic-culmb each, ae lcated at tw cnes f an euilateal tiangle whse sides have a length f 30 cm. Find the electic field ceated by the tw chages at the the cne f the tiangle ( pint in Figue 4). ( i and j ae unit vects alng the psitive x and y axes, espectively) y 30 cm x ) j N/C B) j N/C C) (5.0 i j ) 10 5 N/C D) 0.00 N/C E) i N/C

3 Cdinat: H Bahluli Sunday, Nvembe, 015 Page: 3 Q6. pint chage = 0.5 nc is lcated in the xy-plane at a pint having cdinates (+60 cm, +40 cm). t what pint in the xy-plane will the electic field ceated by this pint chage be 10 N/C and pinting in the negative x-diectin? ) (+13 cm, +40 cm) B) ( 13 cm, +40 cm) C) (+40 cm, +40 cm) D) ( 40 cm, +40 cm) E) (+60 cm, 40 cm) Q7. psitive chage + and a negative chage ae lcated at eual distances fm the igin O while a psitive test chage +Q is placed n the y axis as shwn in Figue 5. Which diagam belw gives the CORRECT diectin f the net electic fce n the test chage +Q? ) B) C) D) E) Q8. flat suface with aea 0.0 m lies in the xy-plane, in a unifm electic field E = (5.1 î +.1 ĵ +3.5 ˆk) 10 3 N/C. Find the magnitude f the electic flux thugh this suface. ) N.m /C B) N.m /C C) N.m /C D) N.m /C E) N.m /C Q9. hllw spheical cnduct, with inne adius.00 cm and ute adius.10 cm caies a chage f.00 C. If a pint chage f C is placed at the cente f the hllw cnduct, find the suface chage density at the ute suface f the spheical cnduct. ) C/m B) 541 C/m C) 150 C/m D) 50 C/m E) 50 C/m

4 Cdinat: H Bahluli Sunday, Nvembe, 015 Page: 4 Q10. n infinitely lng chaged wie lcated at x =.00 m has a unifm linea chage density = 1.50 C/m and lies paallel t the y-axis. pint chage f 1.50 C is lcated at a pint (x =1.00 m, y = 0.00 m). Find the magnitude and diectin f the esultant electic field at a pint (x = +.00 m, y = 0.00 m) due t the pint chage and the chaged wie. ) N/C, pinting twads psitive x-axis B) N/C, pinting twads negative x-axis C) N/C, pinting twads psitive x-axis D) N/C, pinting twads negative x-axis E) N/C, pinting twads negative y-axis Q11. pint chage = μc is lcated at the gemetic cente f a cube f side L = 10.0 cm. What is the electic flux thugh ne face f the cube? ) Nm /C B) Nm /C C) Nm /C D) Nm /C E) 0 Q1. thin spheical shell f adius 0 cm caies a chage f 5.0 nc distibuted unifmly ve its suface. t the cente f the shell thee is a pint chage. If the electic field at a distance f 10 cm fm the cente f the shell is 1.8x10 3 N/C, find the magnitude f. ).0 nc B) 15 nc C) 3.0 nc D) 10 nc E) 18 nc Q13. Cnside tw pint chages + and lcated at x = - a and x = + a, espectively. Which ne f the fllwing answes is TRUE f the electic field ( E ) and ptential (V) at the igin? (î is a unit vect in the psitive x diectin) ) E = (k/a )î, V=0 B) E = 0, V=k/a C) E = 0, V=0 D) E = (k/a ) î, V=k/a E) E = (-k/a )î, V=-k/a

5 Cdinat: H Bahluli Sunday, Nvembe, 015 Page: 5 Q14. Tw pint chages 1= +1 nc and ae placed as shwn in Figue 6. If the ptential diffeence between pints and B is V VB = 35 V, what is the value f the chage. ) 17 nc B) + 17 nc C) 10 nc D) + 10 nc E) 33 nc Q15. In Figue 7, pints 1,, and 3 ae all lcated at the same vey lage distance fm a diple P. Rank them accding t the values f the electic diple ptential at these pints, fm the mst negative t the mst psitive. ) 1, 3, B) 3,, 1 C), 3, 1 D) 1,, 3 E) 1 and tie, then 3 Q16. gaph f the x cmpnent f the electic field as a functin f x in a egin f space is shwn in Figue 8 (the electic field alng y and z diectins is ze). What is the ptential diffeence between x = 3.00 m and x = 6.00 m? ) 50 V B) V C) 0 V D) 50.0 V E) 150 V

6 Cdinat: H Bahluli Sunday, Nvembe, 015 Page: 6 Q17. Tw metallic sphees 1 and, fa away fm each the have adii R1 and R, espectively (Figue 9), and R 1 = 3R. The sphee with adius R1 caies 10 nc chage while the the ne caies +38 nc chage. The sphees ae then cnnected by a thin lng wie until electstatic euilibium is eached. What is the ati f electic fields (E /E 1 ) whee E 1 is the electic field at the suface f sphee 1 and E is the electic field at the suface f sphee? ) 3 B) 4 C) 5 D) 1 E) Q18. In Figue 10 the battey has a ptential diffeence f 15 V and five identical capacits each having capacitance f 6.0 µf. What is the ptential diffeence acss capacit C 5? ) 9.0 V B).0 V C) 1 V D) 14 V E) 7.0 V Q19. n identical capacits ( each f capacitance 5.0 μf ) ae cnnected in paallel acss a 10 V battey. If the ttal electstatic enegy sted in all these capacits is 1.5x10-3 J, what is the value f intege n? ) 6 B) 5 C) 10 D) 60 E) 100 Q0. n ai filled paallel-plate capacit has a capacitance C = 5.0 pf and each f its plates has an aea f m. If the space between the plates is filled with a dielectic mateial having κ = 4.50 and the aea is inceased t m, what will be the new capacitance? ) 169 pf B) 75.0 pf C) 11. pf D).5 pf E) 134 pf

7 Cdinat: H Bahluli Sunday, Nvembe, 015 Page: 7 1 F k F E ma U pe pe c Suface E Ed E E k E k 3 R E. d in. k E B V V V EdS. B V k, E U x 0 i1 i N ki V V V, Ey, x y 1 k U W C V C C ai 1 E z U 0 V z C C C ai ai ai C U f paallel plate capacit d L f cylindical capacit b ln a ab 4 f spheical capacit b a 4 1 R 1 u E CV I dq J dt R V L I J nev d J E R R [1 ( T - T )] 0 0 [1 ( T - T )] 0 0 P IV v = v + at 1 x - x v t a t v = v + a (x-x) Cnstants: k = N.m /C 0 = C /N.m e = C me = kg mp = kg g = 9.80 m/s = mic = 10-6 M = mega = 10 6 n = nan = 10-9 p = pic = 10-1 m = milli = 10-3 k = kil = 10 3

A) (0.46 î ) N B) (0.17 î ) N

A) (0.46 î ) N B) (0.17 î ) N Phys10 Secnd Maj-14 Ze Vesin Cdinat: xyz Thusday, Apil 3, 015 Page: 1 Q1. Thee chages, 1 = =.0 μc and Q = 4.0 μc, ae fixed in thei places as shwn in Figue 1. Find the net electstatic fce n Q due t 1 and.