PHYS 232 QUIZ minutes.

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1 / PHYS 232 QUIZ minutes. This quiz has 3 questions. Please show all your work. If your final answer is not correct, you will get partial credit based on your work shown. You are allowed to have one hand-written, one-sided page of equations. Question I. (40points).QI --0- Q:: q F ,::2- k<.. q,z.-t - Y'- (' t-f1 6 l> 2. Two infinite parallel surfaces carry uniform charge densities (0-)of nc/ m2and nc/ m2 respectively. What is the magnitude of the electric field at a point between the two surfaces? -..J -.fer; -::-+ 0.z.. )?11- c;1 ej:1 z. 20 b dowk..jj /'L rr- -,::- 0 r b Pl. c.. J z..- z.. /) - - )'\"'- E1 t-5 z. lfs -2.- Af/. - v - E -" 1- /'-. 3. A particle (m = 2.0 J-lg,q = -5.0 nc) has a speed of 30 m/ s at point A and moves (with only electric forces acting on it) to point Bwhere its speed is 80 m/ s. Determine the electricpotential difference V =VB-VA. 2-

2 4. A positively charged particle is moving in the +y-direction when it enters a region with a uniform electric field pointing in the +xdirection. Which of the diagrams below shows its path while it is in the region where the electric field exists. The region with the field is the region between the plates bounding each figure. The field lines always point to the right. The x-direction is to the right; the y-direction is up. (b) (c) q 5. What is the potential difference across C2 when Cl = 5.0 JlF,C2 = 15 JlF, C3 = 30 JlF,and VO = 24 V? 6V]... C, '- b\!... \1. II.2 o hv - bv3 bvdb\!t-a\j3::. 2lf \f ) 3D\J =- LLf 1/.;... -) ].- DV2- II, Y - '"'" =-) bv ij\!3 I:::::.V :;.. c :2.6\/3 b-\j;, "";.- L"2- b\j7- ;Z -:z- 0 ('f t f1f

3 Question II. (30 points) A Solid conducting sphere of radius a carries a net negative charge -Q. Concentricwith this sphere is a conducting spherical shell with inner radius h and outer radius c, having a net positive charge +Q. G R-U S.r f -t.1/a <',r\' ell 1. Describe how the charges are distributed in the sphere and in the conducting shell. Show how you arrived at your answers. -Q e.-vl3--g6 dj...' $ t- 'I;, u.j- & E>IA..- S1AAf CA..u. t f : f?-or 0 CrQu os5 ' S f t\.. CV\. 1\cLL p Ck < S t &1..-c.e. "'-'0 If,-'"'- So( f a Q..OV\ c1. CA. L to -r. '* + cltstv- h & 0 I/\.-- I Lh g lou. s Lv-.f! JL sw'/. a..-a- Ii\.. t,l S' I Svv'L -f \.t <:.rt' cj..l f; ke. \r. h "'- Q j C "'- - f, 2. What is the electric field (direction and magnitude) in th regllins: (Show11OW q IIlA--t l:..0 you arrive at your answers) r-> \::-::-0 a. r < a ="::> b. a < r < b -=-) c. b<r<c d. r> c. Cc- Q CvvVJ<> fh.dtz, Q c./'ci, >fllj M J E- '-1/\( Q o "* r-cta ) CV\ Yt\ clu J-oy =) kz-o. "fa I("L. ;!.-Q - 0 7:e> hd- Ql'''' :::.-0 /... =-) t:; 2- G

4 3. Sketchthe variation of the Electric Field as a function of r on the axes E(r a b c r 04. " '1>J QJ 5. What is the potential difference between a point on the surface of the conducting sphere (at r=a) and a point on the inside surface of the shell (at -: -\ -= - F..(;1. S t k Q :::: ol -' <:.. 1::.': - r C:Uo ec.- - '(' - r=b) A v fj..j...1 [ " /- [k _I " Q] ()v r w y- a...- [ ( A., I "" o..b - - e: Q ij.. ] =- +k Q [ l if L (,UCo; r' r -:-l1li \ b Q, h VtJ 0\ 6 -::. Q\ r r A V - OS- What is the Electric potential just outside the conducting shell? r...) VIS'):'- - 1=r 00 S e Q.,. " -.'\ ''''''V'""V V' 6. We now fill the space between the sphere and the shell (space"betweena and b) with a dielectric material (K = 3.0). What now is your answer for part 5. above. b "... 't) t'p <0 -D YU!.W o.k Eo ::.- '- - '. - - y 1\ f k. r-zk i \! a.b Is" o...fo -:::- =- I-'\ b hj [-LJ

5 Question III. (30 points) The circuit shown consists of a 110 v battery with negligible internal resistance, three bulbs BI, B2, and B3 and four switches S1, S2, S3 and S4. Bulbs B I and B2 are rated 110 V and 40 W, while bulb B3 is rated 110 V and 100 W. Switches SI, S2 and S3 are closed while S4 is n I 84 I, 'R1-3 L I --I L1 z='::> \ - 81 '--'" 82 "'--" jt Bl '1 < 2- B2 6V1 I t "2.3 1 ljov 1. Calculate the resistance of each bulb. If= byl ()t> r\ - gb.lf../l oz.) 0 R :: 2;6,'f+O'?' If, +- I f'\e..' U "b0 z., Z-- "38-9 -Q... 1/3 '<l '" v'zg A ) C VOV\...h'Vl -- -) 3. Calculate the currents through bulbs B2 and B "\/ 61 a> 0 1'1-- R 'l-- o,.. 1<1 =- R"2-:= (1l0)' ' S- SL L+O R := 0\0) -: L /, C\ 110 /1 f 2. Calculate the power dissipated in each bulb. 'R 1.- Ct I-'\.cJ.. R3 f WIfYQ../ Ie.- b\!" :zs -) L bv2 - L 3 t) 2- rs r :: V \o3 f} 1:"3> ) ':Z- bv3 ::0 -T z... 2S 2.. C).,4 12-1

6 Describe what happens to the brightness of each bulb if switch S4 is also closed. taj S W)' S 4- cl 0 ud +z.vy,f V2-1 :; 0 '" -,- - So \3 2- Q.ci B3 fi-' crft.? 1v z >"'* R"t 5. R now; >;-0 WlO+S-y\,' A PHYS232 student connects a single light bulb (A) across a regular 9V battery she bought at the store. Then she adds two more bulbs (B and C), with the same resistance as A, in parallel with A. Since the new bulbs are added in parallel she expects the brightness of A to remain unchanged. However, the intensity of A goes down when Band C are added. Explain this observation A 0/' 1 ()c./2... ljl... no y.l- (5)G-L. 0- bj c:o..j I <c-.h.f r" a,- - -'\ r f '" f], (..., t.-\...--! "I 0 \f R..L <}{sk \ --littl c.....>\ r J b $ I - RfU f <q I-&-- b\j - 1( l r- '::--' t R+- Y"' Bb A.fA; =- R. ;- y- L ABc... o 0 I fh5 > 'E,4 L C:OpVt-cJ. -". ) - - R/3+y

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