Physics2_Test2A - October 19, 2005 Physics 1322 2nd Hour...

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Unformatted text preview: October 19, 2005 Physics 1322 2nd Hour Quiz — Benbrook Name: Easy Stuff — 2 points each. Show work in space provided. 1. Define the electric field. One simple sentence will sufiice. FWCL {yr L‘m‘l' Charge 2. \rVrite an equation that we refer to as Gauss’ Law. .I 1:? JerV 3. “That is the force on a. charge Q at R due to a collection of N point charges qi at f;- ? Use the given notation! in your answer. 73 l g (2: a; (F: ~r—1 If erfo (u {fizq-ifi 4. Write an equation that we refer to as Gauss‘ Divergence Theorem. i It? a? 2‘. j"? . tin? 5. What is the electric field at “F produced by a dipole 16' located at F0 ? a -/‘.-’~?c".(;~;' . \. h.) l I4*9 I 5! J ; _ a ___.......=.~.____..a-.——~ -. . ,f .-.‘.--;"' - flQ 0 E " was» ( Irv" F5“ aria!" '_ an r; of 6. Write the position vector 7" in terms of the.e’p‘herih§_coordin_ates r , 6 , and «39' and fi the Cartesian unit vectors 2 , j , and k . {x if: i" {Sm 9 Cr: 52?. + :0» Gcmflfj' + C05 (91:) 7. Write the position vector 1? 'n terms“ of the cylindricalcoordinatles r , eh , and z and 1 the Cartesian unit vectors '2. , j‘ , and it . r. ’1' T): r (C‘cffl/C i 95%;) +2 k 8. What is the volume element in SBEE‘iCiiQOI‘diflEfieS? d, V:- Y’: Sir: 9. TWhat is the first of Maxwell’s four equations in vector difierential notation? \7 - E ': .2: 10. What is the defining equation for electric potential. F} -. __ir__h (fibre) ' A? O 11. Define capacitance. I'd E e \/ 1‘2. What is the energy stored in a capacitor 0 charged to voltage V ? U:'}_’CVL —D _-4 13. What is the relation between the diSplacement D , the polarization P , and the electric field E ? _.A w, *3 EFQEW 14. What is the definition of the electric susceptibility XE ? .J flak? 15. What is the relation between XE and the dielectric constant K 1? : l+ "XE 16. What is the energy density associated with the electric field? I ‘— ég Jul ~ i/El s_ v—o 17. In terms of the polarization P , what is the equivalent volume charge density pm; ? *6" j€;&v] : _ v . r 18. the equivalent surface charge density 5:00! ? A —“ 19. What is the relation between the current density and the current I ? I :— 5 ' 2‘: 20. write Chin’s Law for the current density. 4 j r; 0— E 21. State Kirchofi‘s first law. 3;:mec3 22. State liii‘chofi’s second law. 25:5Razw 23. “What physical principal is embodied in KirchoE’s first law? C.. /?6A£Q Co r-_'_-”r-_ r win-:7 (1 24. Given V , the potential drop across a resistorI and I , the current through it, what is the power dissipated in the resistor? 9 LT IV 22'). What is the time constant of the series R - C circuit? T:RC Hard Stud — 20 points per problem. Show work on separate sheets of paper. \VRITE ON ONE SIDE OF THE PAPER ONLY! 1. Calculate the effective resistance and the effective capacitance of the circuits shown below (10 points each). 3c R 3K TIE—l- id] ' C - 2c " C 2'1 R 2. Find the currents I1 and I2 in the circuit below. l‘ v0 3. A disk of radius R is positioned such that its axis lies on the Z axis and its center is at the origin. The disk carries a surface charge distribution specified by: crzchr/R Calculate the electric potential at a point on the 4. A volume charge density is specified in spherical coordinates by ,0 :0 g 0 <1" < 0. :poa/T , a. < r < 2a. :0 , 2a< 5" Find the eiectric field as a function of r . Make a. sketch of the magnitude of the electric field as a function of r . This is a timed exam; you must stop work at 6:50 PM. li-Vrite your name on the top of the first page in the form LAST, First and turn in this copy of the quiz with your additional pages of work IN CORRECT ORDER! DO NOT fold the papers or insert them inside the quiz. They will be stapled together. _d_____,+__.-—-—-—_ IUD 3.2-4? ind-i} no Emmi? he {arfi‘qfl 079% a? E . d5 L4 firm-("£15 J'h mrw we +21%}? Izl'lfl) *V..+3‘UE. +__l;l’j£):0 3! Zlfififzfi .2. rzv. For: ‘- "ETLJ’JL ZTflE-E‘E4fl;£: t—:% a 2/“ f i. '5' £4 E'EE'fl'Fg-Lflzfi ” ?rLJ'f-£:}H_ £6“ = 3—9; 5919415.? :44} 1433-1“ E ——2.v d4, F 3“ “'i-‘Zfi _C:*Ef_j‘£‘___fl_ [ a Zol,@+rsgg:_§s¢ a“ i a ““TIg—ISILe ; +evg “LR :V‘ l-_—i.!a_' O .._, “Rh ?) mu j 2’ Eh“ 2? )‘ZYELO gay Siéfimsuew 3L 5: [gaze-«m 26c {1 0;?L[fly(m8+sctc) +j‘3u‘9119 yeast a. (02:, -'—t': («ace-big, II ‘ . n) z '=‘ 1 {h~9+5“93 ‘ 2,5,9- Hg“ /r aCl’CfllL 1 / Encr '; ——\ 56%;; dz: fan] DIV: (ZEJ‘IEJrJWfl I \ z . f 0&1 )r mayday Um, QMIALLIE E. f 99-h D 4 I ‘I 1" rd ; f3 a (r:¢‘)s.amdfl : (2K)».sw 1 110:9]:— fu'“('L‘*L)(¢/x) ~(rn),‘:rx6‘-.‘jg i. - a. “'41.. r ...
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Physics2_Test2A - October 19, 2005 Physics 1322 2nd Hour...

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