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Unformatted text preview: 1.Draw the ﬁeld lines for the arrangements given in ﬁgures below.
a)A point charge +q above an inﬁnite, uncharged conducting plane.
b)A point charge ——q at the center of a spherical conducting shell of charge +q. Answers:
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0% charge, +q 2.Consider two “identical” dipoles of charges with magnitude ‘ + 0‘ + ‘1
q placed at a distance 2d apart as shown in the figure. The dipoles are parallel, and they are a distance x apart. cl cl
a)Write a relation for the dipole moments of the dipoles X and show their directions in the ﬁgure. “ "' “ — M” — ‘
b)Calculate the force on one dipole (in unit vector notation) d.
due to the other dipole as a function of x. A c)Write a relation for the force that you have calculated
in part b) for d<<x . Answers: a) For. ‘OO‘H/I' dipoles ) Pr: ‘Lclc' b) "“5 we .4, .
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Fzgx?~+i:cj3 5 sz—EginQ'tFzgl’ng’ﬁo ‘J F21Fx 3.A conducting solid sphere of radius R has a total charge of +Q and is placed at the origin. A
conducting spherical shell of inner radius ER and outer radius 3R has a total charge +Q and is
also placed with its center at the origin (so that it encloses the sphere). a)Calculate the surface charge densities (c) for the sphere and for the shell. b)Calculate (the magnitude E of) the electric ﬁeld as a function of radial distance r. (2)910“; and E as a function of r. Answers:
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ﬂ'ﬂgorj' C swfmce spit are) 4.A disk of inner radius R1 and outer radius R2 has a nonuniform
surface charge density 0(r) 3”— d I r, where r is the radial distance
from the center of the disk and at is a constant. a)Calculate the total charge of the disk. b)Caicu1ate the electric ﬁeld at a distance 2 away from the center
along the central axis of the disk. c)What is the electric ﬁeid at the center of the disk? Why? Answers: _ a) (ianclA 3 ciAt: ﬁlﬁ‘eclr“ J , a. .1.“ shite
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QQW~ MAX/Q» gut 0L“ @WM f‘ dmm M12 CQAJZQJ".—.) 22’ 5. A very Earge insulating stab ls uniformly charged to a charge
density of p *" 10 SC/m‘ﬂ’. The thickness of the slab IS d— 20m. (See the figure )
a)Determine the eiectric field of the charge on the stab at points A, B and C in the ﬁgure.
b)Calcuiate the potential at points B and C in the ﬁgure, assuming that it is zero at point A.
c)Piot the magnitude of the electric ﬁeld and the potential as a function of x
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 Fall '09
 AtillaAydınlı

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