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Unformatted text preview: Engineering Physics 11 Exam 1B Spring 2007  ' Name: 8 % l. (a) What is the magnitude and the direction of the net electric ﬂux through the surface
below? Answer in the multiples of q/Eo. (10 points) Show all work for credit. 0+2q e Ci; (Z; 4r"? ”(I fie—2. % ”4 Magnitude ”'7’ q/ao
Direction: (Circle one) outward '39)}:qu ,/ (b) A ﬂat sheet is in the shape of a rectangle with sides of length 0.20 m and 0.40 m. The
sheet is immersed in a uniform electric ﬁeld of magnitude 50.0N/C that is directed at 30
degrees with the plane of the sheet. Find the magnitude of the electric ﬂux through the
sheet. (10points) (9 WHO2 0°76? § 2 “(3974’ —_ (Saw/c ) (02ow)(0w“)
* Ma?" 7: 9.0 N pug/C 2. In a region of space an electric potential is given by
V(x,y, z) = 2x2); +3yz + x221
Calculate the x, y, and z components of the electric ﬁeld and express the electric ﬁeld
in a vector form. {10 poms) :” E ,. iii: ((9ch +2X’81) /\ _  43
g: "(C(.X}J+22<EZ)'L ~k2KZl33b (?E9~62)&E&’)/J\< 3. Three point charges are located as in the ﬁgure Find the total potential energy of the
system. (10 points) Qz=+2q
U: Luz +U .3 Hi2; QM air/f
, n «f f
”5 left; 41 a 5; , L65 9 5a
r: it K3 f— f( n3 “\ I.
j %’ (Ch gﬂzg) (fax—3 (6) 4a
357; q (L .‘II
1 _ 3f. 1:
1L (2(3pr 0') ‘9 Qa=3q
z
fur/i H1311 Thﬂ‘a ? 53‘)
< )a ﬁg fit
:1!) Us: I; ., ,6.) 5%; _ 9‘0 #372
(1., 3 9‘ y _ Ct rad—77F 4. Two point charges are placed as in the ﬁgure. 8 r—‘) ______,_. q1='9 E J 51 q2=2e
(Lazar—9 ...::.:..3 X: 2a X=0 X=3a (a) Find the electric potential at x = 0. Answer in terms of e, a and the Coulomb constant k. (10 points)
3: ' 3?.
 ff..— szvz: 7% r2 % e \
Magnitude 2— DirecﬁonM Yé’Oﬁ W 5. A small uniformly charged insulating sphere with radius a is concentric with a larger
conducting spherical shell with inner radius 1) and outer radius 6. The insulating sphere
has total charge 3q and the charge is uniformly distributed over its volume. The outer
shell has total charge 4q. (a) What is the total charge on the (i) inner surface of the large
shell and (ii) outer surface of the large shell. (4 points) (1)) Using Gauss’ law, calculate the
electric ﬁeld for (i) Kn; (ii) B<r<b; (iii) b<r<c; (iv) r>c. (16 points) You must start with
the Gauss' 3 law andfor explain the reasons for your answers. (Ci lop; {:4 1
kill ) [kgPC”; 52:11: 6. A long positive charge Q with length )1 is distributed uniformly along the xaxis, from
x mm as seen in the ﬁgure. Find the eiectn‘c potential at the origin. Make Sure to Show all your work. (V = k! ﬂ) (20 points) 03
r ...
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 Spring '09
 binshafique
 Geotechnical Engineering

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