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Unformatted text preview: (0% October 20, 2003 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 suiiice. The E lechric Force Per um'ri C/V‘wclc 61
UWhat is the torque on a dipole if in an electric ﬁeld E" ?
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UWr'ite an equation that we refer to as Gauss Law. ,L/‘ss,
32.: as  {—35 Pa « . _ /t (2 QWhat 15 the force on a charge Q at R due to a collection of N Jr\point charges. qfa . at; '2, 2 Use the given notation in your answer. a
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F: 4W0 WK  ’l I 7‘ , [3 Write an equation that vie"refer to as dauss' Divergence Theoreml/ Ends: 5V Fowl I What 15 the electric ﬁeld at f" produced by a ddipole 1:) located at 77°? . 3i
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7. Write out the gradient of f(X, Y, Z): 3X2 + 21"2—I‘Z2 .
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DVVrite the position vector 1" in terms of the[spherical coordinates a" 6 and qr? and
the Cartesian unit vectors '2 , j , andk r— rgmecgoeeémswaéuosaﬂ 6L B QHow would you calculate the electric ﬁeld at 1 due to a volume 113: 416") ?
5:3 in Parl) (:1?) dv ' (ﬂuid? ’l' a
: Ania; We ‘ "y =e ' ~ ;‘
10 Compute the divergence of F(X Y, Z) =_ i(2XY2)_ +5(Z). I? : W
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E} XVrite the position vector i" in terms of [email protected] coordinates r, (35, and z and
the Cartesian unit vectors i, j, and k. .3
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1’: (— CCOSGJ/IC '1' SH“; (1)5 3 4' 23k '1: Q\ 12. What is the volume element in Elindrical lcoordinates? “IV: rcirdddz 13. What is the volume element insgherical coordinates? r; 2 Av: mﬁolrded  0N: r errder dado  .4 a
of 6,21... .WU‘C .. "'33.”: _ mun4....— . .  QW'DAt is the ﬁrst of Maxwell’s four equa nations in vector diﬂerential notation?
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i b v ' E’ f Eu ‘ ' $.15 What is the deﬁning equation for electric potential. Ezr 2'1
:_ E'CLO {L V: 5B A? V” ,5éobe 16. What is the electric potential produced by a volume Chew
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41%" \ rT’0\ V” (:5 1:54.! 17. Deﬁne capacitance. lF’ 2'
C "‘ 8%! C: 9’v ' a 18. How do capacitors\“a.d add” llinw series? = 2 at
hat 1s the cerelation‘b etween the displacement 13 , the polarization 13 , and the electric
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2.0 What is the energy stored' in a anpacitor 0 charged to voltage V ‘?
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M: 2 CV2 ’ 1; ? E ' in P: ‘éﬁv 21 What is th :\ + it; }
l22 What is the energy density associated with the electric ﬁeld? 4o 9\
M E: zlEl @Vilhaté is the deﬁnition—A 20f the electric susceptibility XE? PT—‘EXEE ﬂ 24.111 terms of the polarization P ., ..3
Fpol What is the equivalent volume charge density ppo; ? :r—vP l 25. lthe equivalent surface charge density ”pol ? 6— po\ =7 m“ “P
ﬂWhat' is the relation between the current density 1:56] A S
own composition and [a How‘ would you calculate the resistance of a conductor of kn
try? An equation is the expected answer here. game W8 Poll? % i' 28 Write Ohm’s Law for the current density. a T269 29. State Kirchoﬁ’s ﬁrst law. _
2.1 L = O a
30. State Kirchoﬁ’s second law. a g e = g m:— W
he terminals of a source of Emf E 0 whose 31. What is the potential that appears across t internal resistance is 1' when it delivers a current( L, ? a Charqe Co mewah a?"
33. ”What is the effective resistance of a parallel combination of N resistors with values ._ N \
R” ‘ it; a ﬂea in 
34. Given V , the potential drop across a resistor, and I , the current through it, what is
the power dissipated in the resistor? P \ \l EL 35. What is the time constant of the series R — C circuit? ”Y: {AC 9 A (C {min 15) Hard Stuff  20 points per problem. Show work on separate sheets of paper. 1. Calculate the effective resistance of the combination of resistors shown below. R R 2. Find the currents I1 and I2 in the circuit below.
a E} El {2 3. A portion of the" X axis is charged such that the charge per unit length is speciﬁed by:  .. ' J— MiGc.7333 /
“ ... 5.5;;in m <“ 4% 87%???— ‘
‘ =  a. <X "‘ ° ‘J Calculate the electric potential at (D,Y) . 4. A volume charge densityr is speciﬁed in spherical coordinates by 1%
”frp :10 i , 0 < r < a. I x _
=p°a2/r?_ , a. < T < 20..
; :0 h , 20. < 1‘ _ x} ; L Find the elecgcfﬁeld. 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 9:55 AM. Write your name on the top of the ﬁrst page in the form LAST, First and turn in this copyr 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 sta led together.
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 Spring '10
 MichaelGorman
 Physics

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