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2003 Final Exam Key

# 2003 Final Exam Key - 7220 ﬁnal 03c 1 A nonconducting...

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Unformatted text preview: 7220 ﬁnal 03c 1. A nonconducting sphere of radius R = 5.00 cm has a charge of q = 12.0 nC uniformly distributed throughout its Volume. A point charge Q is embedded at the center of the sphere. If the electric ﬁeld at a distance of r = 4.00 cm ﬁom the center of the sphere has a magnitude of E a 2.20 ><104 N/C and is directed radially outward, determine Q. “’* §sai= 323- 34"? air-3i}; + Q] =é,(a(:£)’+al => Q: E-4u€,rz ~¢(§)3 = 2.2xto4N/c‘ 8.01% (WNW/1‘ 3 . ’ ' 404,“); ~ 1.2x10'3c.('m>:-223xm' 2. Point charges of q1 = 15.0 nC, q; = 30.0 11C, q3 = 45.0 nC, and q4 = 60.0 nC are placed at the corners of a rectangle that measures 4.00 m by 6.00 In. lfthe electric potential is taken to be zero at inﬁnity, What is the potential at the geometric center of this rectangle? 00: Ch I“ '° "“' 2!: l; .P 22>VP" W (qu‘qr‘wﬁ up?) n ' I 0L _ 3 o " ‘Ls W = mg'emxw “M11 (sto‘ac. 3xco‘3c + 45ﬂo’t + 6*‘0 a“) J gm) :5 " (0%).- = 314V . A parallel-plate capacitor consists of two coaxial circular metal disks each of radius r = 20.0 cm, separated by a distance d = 1.00 mm. The volume between the plates is completely ﬁlled with a dielectric material of constant K = 3.60. The plates of this capacitor are charged to 5:500 nC, and then a 100 kg resistor is connected across the capacitor. How long after the resistor is connected across the capacitor does it take for the discharge current through the resistor to drop to 5.00 uA? CA 001m. , _ ' . . 1 c= KQ Mm Co; a! N Alma a? C: Beaten/0% "(an ’4 = Menage . Qo ~t/c (Wis 1=§:'ﬁie E C :> t=~Rcﬂu 1%; mm- x: to”! ~ 4"°"’¢ ___________________ g — lxioitz~4-ooxto"’; ‘ Ii»- ] 5xlb"c = 3.c.1zto'45 4. In the ﬁgure, V1 = 20.0 V; V2 = 40.0 V, R1 = 200 S2, and R2 = 100 Q. IfI= 80.0 mA, determine the resistance R. I I ._....... _ , 2mg ‘ Reduce rgs'lshrwjomM: 12,-: 1121+le " 122-3 "‘ '27 3/069- Ré Rafi; = 22,. =2!an ram l; I; we mu: 1.*12= 13 Wm: "LKI'FV‘ *Iik " O ((2% lane) " lax-Ra. i” Vz'l32 = 0 loop) C(iﬂli’w‘b I: :13; ﬁve ‘9” R \I,-v +1 12; W {we (or Why?) I223, “LEI, 4",; 4/1 :0 => 1? iii“: K: Vida-Rb, _ Vz‘l‘Ra' _ I Vz‘lzﬁzl s 13 1”}; - R‘ V‘-Vz+1zCEII+RE..) 40V . .oaA‘ZmR. mv-4ov1- .oz‘m (twwb) : GOOJL '~'- [(1)93 5. The axis of a long straight Wire of radius r1 = 2.00 cm lies along the z axis. This Wire carries a current [1 = 40.0 A in the +2 direction that is unifonnly distributed over the cross section of ; the wire. A second long straight wire of radius r2 = 1.00 cm lies parallel to the ﬁrst Wire, l with its axis passing through the point (x,y) = (4.00 cm, 0.00 cm). The second wire carries a l uniformly distributed current of 30.0 A in the —z direction. Determine the magnitude of the magnetic ﬁeld due to these two current-carrying Wires at the point (x, y, z) = (1.00 cm, 1.00 cm, 0.00 cm). .3: e. A AQX . 3'55. *3» “ram” Ba: 21“; Rf Gil—‘05? ” 0-63lém . 1‘ l; a . . M E = M0 : lufld \$Bz, “7051617 ' 21“: 21:13. = 1311;...” W = zgsxw'qﬁ“ ZFTIZ' . Tn 132. > ‘W — v A: “’4” ‘ev'bigsz 950mm”? ‘- with (a: " 45 X: '°‘"‘ ‘2' -' 8 Ma w“ M... 4w» .4”: ‘1“°'““ /' “ x. a v * tw- 6. An air core solenoid has 400 turns of wire, is 2 cm inner diameter, and is 100 cm long. ‘ If a current of 20 A is established in this solenoid, determine the energy stored in the solenoid. uo=4ﬁX10'7Tm. '2 (r331: ><.!©~é T-Wx 952M: 7 Q) a BA “:— I“? L =5 -: W 1. iLf—z :3: H w 2 g, n we amt t e 6" Mt (so A? mnsmmmua...hmuwwwnm_ Mx 7; In a series RLC circuit, the resistance is 50 Q, the capacitance is .60 HF, and the inductance is’50 mH. The ac generator provides an rms voltage of 120 V operating at 400 Hz. Determine the power provided by the source. XLEWL zwﬂ-‘L = on (Qengy‘Soa/Q’SH) ’ R ,Q L W 1 r = loam V: / ye: “L... S 4*“ I ‘ mC, AJWC ‘F - M _ ' ‘ Var «NHLMOHQtéJoMQ-GU ‘msos : 4‘4ng = a "‘” :Z R. arm; XS 2: S(S©\$L+OAST7~Q.Q3)1’WW:@1077 E —-= liar/4L “T : VWM __ i’QQV .-. own A So 43 =tat" (ti—é“ New (IMMJ-W): tav?’(;3<g> = my 8. An upﬁght, real object 10 cm in height is located 20 cm from a converging lens of focal length 40 cm, determine the magniﬁcation M. 9." A doubly charged positive ion of mass 4 x 10'26 is accelerated through a potential difference of 1000 V. If the ion enters a magnetic ﬁeld of 2 T that is perpendicular to the electric ﬁeld, determine the radius of curvature of the ion in the magnetic ﬁeld. 10. A slit of Width a is illuminated by White light, which contains all the wavelengths in the visible spectrum. For What value of a'will the third minimum for yellow—green light of wavelength 7L = 555 nm appear at 15 degrees? (jig/{Mien ‘MX "'7? ml mix. ti 6\ \l: U.) 4S 5 § ...
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2003 Final Exam Key - 7220 ﬁnal 03c 1 A nonconducting...

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