Physics2_Test2G - March 27 2006{Claw | Q.9 Q 1 h Physics 1322 211d Hour Quiz Benbrook Name Kiwi“ Easy Stufi 2 points each Show work in space

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Unformatted text preview: March 27; 2006 {Claw | Q .9 Q. 1:. h Physics 1322 211d Hour Quiz - Benbrook Name: Kiwi“ Easy Stufi' - 2 points each. Show work in space provided. —1 1. W hat is the torque on a dipole 15’ in an electric field E ? #3 In), 1;: P.x E 2. ‘Write an equation that we refe; to-i as Gauss= Law. r“ | -. v _ E A dis :g; F U 3. Write an equation”I that we refer to as Ganss’ Divergence Theorem. jgdg 7 :v-ifldv 4. VFhat is the electric field at F produced by a dipole ff located at 5'0 ? Al {a r “flurr-w‘;£r-r“>__ :2“ \ m? C" ‘ilfflo( lf»r".r lC—r‘\3> 5. write out the gradient of )“(X1 Y, Z) : 3XYSZ2 . Z A '1' .L A s \ '5 I‘ 6. W'rite the position vector F in terms of the spherical coordinates r , 6" , and qt) and the Cartesian unit vectors 5 , j , and k . (—3- ( '];.':'.=:'.":n:- 1 4 ‘ 5"’-5-*5'-\A j‘ 4 [£059 1‘: 7. Compute the divergence of 1301’, Y, Z) : €(X2) + 5(Z3) . W 2 fo 8. What is the curl of 13 from the previous problem? i _‘ t _1 L \- z r ICE—E}; If £23 H 1‘ ii ‘ L fl —, 3:16. W? '- :— r :L a )- "_ '_r e -: \. I'ax'! -...v A: I A: - - V1. .2” w u '3 f _ 9. Write the positiOn vector 'F' in terms“ of the cylindrical coordinates r , (ii = the Cartesian unit vectors i , j , and I: . .. f n . r'k. (': 3‘_/, (bag L rig... 10. What is the volume element in cylindrical coordinates? (chr To 11. ‘What is the volume element in spherical coordinates? (‘1 ‘31“ a- Cl(- 12. What is the first of Maxwell‘s four equations in vector differential notation? _ J5" WE " 5;? “‘F ) 13. What is the defining equation for electric potential. I =1 #3 , __._._-— fines j [t{(‘\ 14. “That is the defining equation for capacitance? #3. C'v _. —a 15. What is the relation between the displacement D , the polarization P , and the electric field E ? J 9: £156“? 16. “That is the relation between X3 and the dielectric constant K ? 34 '— l 1' X g 17. ‘Nhat is the energy density associated with the electric field? Up. : £9 égk - L 18. \F'Vhat is the definition of the electric susceptibility XE ? a J a, x if r ‘ 19. In terms of the polarization P , what is the equivalent volume charge density pm; ? r P" -- ax. « ,. 20. the equivalent surface charge density 0pc; ? x. A J) -'_\ r in - r 21. What is the relation between the current density and the current I ‘? j: €T3,6l3 x... . Write Ohm’s Law for the current density. 10 {\3 "3 ""I _.—F 1:66 23. State thhofi‘s first law. 2: I '—' O 24. State Kirchoff‘s second law. 55 =é1’K’ 25. What physical principal is embodied in Kirchoff’s first law? r Le-r-'-,;.~(‘Uotl—low 0‘ Clan-(€4.9- -..J 26. Given V , the potential drop across a. resistor, and I , the current through it, what is the power dissipated in the resistor? P 2 I V 27. What is the time constant of the series R — C circuit? vm Hard Stufl — 20 points per problem. Show work on separate sheets of paper. 1. Calculate the effective resistance of the combination of resistors shown below. 3. A portion of the X axis is charged such that the charge per unit length is Specified by: A :Ao(X/a)2 , |X1 <0: =0 , a <IX| Calculate the electric potential at (0, Y) . 4. A volume charge density is Specified in spherical coordinates by p20 , 0<r<a =,oc,-r2/.:L2 , a < 'r < 2o :0 , 2a<r Find the electric field as a function of r . Malia a sketch of the magnitude of the electric field as a function of r . This is a timed exam; you must stop work at 6:55 PM. Write 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. :iSRvafififlio +1—3a;{) Wt) * ELK 4—1153 :ZV“ 3 ElK a— “LE-LR "- ’3V‘5 BTY‘R + L R — :12 zlvb HI1R*:L€‘ZZVD Jr _::§€,c,ff-¥om,9 ¥li\m\w&* r *li\m\f;— {$5351 Y1£EEEL _\u\ 339;”" * y'L ———— ——_E— 0\-\r 71+“ 1 H ir\w\ Y Y1 _m __mrfi#¢fi \M\Sz,(_,[9’ ¥-5ro~v\3\ 1 by“. + H L "* Fifi-Til +\u\:::::—:j\\ 7" 7 _H#_H.flww_wf ~_-~wr* / \WWEEQ fl ...
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This note was uploaded on 11/15/2010 for the course PHYSICS 1322 taught by Professor Michaelgorman during the Spring '10 term at University of Houston.

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Physics2_Test2G - March 27 2006{Claw | Q.9 Q 1 h Physics 1322 211d Hour Quiz Benbrook Name Kiwi“ Easy Stufi 2 points each Show work in space

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