{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Physics2_Test2G

# Physics2_Test2G - March 27 2006{Claw | Q.9 Q 1 h Physics...

This preview shows pages 1–6. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

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 ...
View Full Document

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern