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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
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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 ?
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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 .
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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
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\/ 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"
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18. the equivalent surface charge density 5:00! ?
A —“ 19. What is the relation between the current density and the current I ?
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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
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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. liVrite 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 3.24? indi} no Emmi?
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 Spring '10
 MichaelGorman
 Physics, Electric charge, Fundamental physics concepts, Energy density, charge density

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