Unformatted text preview: f.
{B Let us assume that the electric ﬁeld is given in component form
l// . E = Eri + Eyi
We are told that Ex is’proportlonal to y ,
E1 = ay and all we know is that Ey= O wherever x= 0. Can we uniquely determine Ev? . "5‘“.
1—.— \/.‘ j" The electrostatic potential in a region of space is given as \ (ﬁ+xw+f—awl V= V0 a2 Find all points Where the electric field vanishes, as well as all points where it is
directed along the xdirection or along the yclirection. KKA . 5 3 The electric ﬁeld in a region of space has the form
2v 1 E0
/ E; ;(x — y)
' a
4 —E
Eu = a 0 (x + y)
E: = O (”_, .—
Calculate the electrostatic potential V(x,y,z) and check that ‘35:? weighs satisﬁed for
any rectangular loop parallel to the coordinate axis. 1 Gil: Consider the arrangement of three point charges Q1, kQ1(k > O), and Q2, as
/ shown in Fig. 2.40, Where Q1 and le are ﬁxed and Q2 is constrained to move‘on . the semicircle. (a) Find the value of a in terms of k for which Q2 is in equilibrium:
(b) Find the numerical value of a: for k = 8. ‘  I . in HGUREZAO \/QE:; Medium 1, comprising the region r‘ < a in spherical coordinates, is a perfect di  electric of permittivity 81, Whereas medium 2, comprising the regionr > a in
spherical coordinates, is free space. The electric ﬁeld intensities in the two media
are given by E1 = E01(cos 6 a, — sin 6 as) . a3 [13
= + n _ _ _ '
E2 E02[<1 27;) cos 0 a, (1 41/5) 5111 9 219] respectively. Find 21. , 12%} A boundary sepﬁates free space from a perfect dielectric medium. At a point on ‘
the boundary, the electric ﬁeld intensity on the free space side is E1 =1
EGGa: + 2213, + Sax), Whereas on the dielectric side, it is E2 = 3Eo(ax + a2), WhereEO is a constant. Find the permittivity of the dielectric medium; ...
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 Spring '10
 Ferguson
 Electromagnet

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