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CI6E,S35

USN

Third Sernester B.E. Degree Exarnination,

Derc"20trS;/Jan.20t6

Vlax. Marks:100

Time: 3 hrs.

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PART _ ,4 Intensity due to semi infinite

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b.

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Find the Electric Fietrd strarigtrt unifonniy charged wire at a (08 N{arks) point lying at a distance in the perpendicular direction from one end. Stat and prove Gauss Divergence theorem. {S4 &narksi

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e. y' =5+ 4 /m'.,veify

r - 4nr and 0 :/^

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Explain conservative nature of static Electric b.

ET =u

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->' tr< -i r.i o o

Marks)

two clielectric of different

betweeia

ia

(08 Marks)

.p 4'

.

a.

State and prove stoker's theorem.

b.

The magnetic field lntensity is given is a region of space us

c.

Find : i) V x ii) iii) use J to find the total current passing throuplr the surface z: 4, <
7

o.

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State and prove uniqueness theorem. {$6 }farksi For a co - axial cable with inner radius oa' mt and outer radius 'b' trnt., find &e Eleetric fieid intensityE in the region a< r< b using l-aplace's equation. Assume V: Vo ai r: i and (07 Marks) V : 0 at r: b.

w w Laf => la

2zvolt, find E at (1,2,3)and the energy stored in a cube of side 2mt

c. A splrere of radius 'a' has the charge distribution p (r) //--, v,,hicn produces an eleetrie trf , field intensity given by E,. : Ara for r ( a, E. : Ar-2 for r'> a, vihere A is a constant Find (87 Marks) corresponding charge distribution.

;f c'!

.-lc0 c

(s4 Mart
ed

{q

L t)"

).=€ ;5t

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Derive the boundary conditions at the interface perreabilities.

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[;E o[E

y + xy

centered at the origin.

bE

o;

IfV - x -

(08ltarks)

field.

w

)q

u2

/d

.

the Gauss Divergence theorern forthe volume enclosed by

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If

ib

1

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g.

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Note: l. Answer FIVE full questions, selectircg at least TWO questions from ewch part. 2. Assume any missing data suitably. 3. Standard notcttions are used. 4" Draw neat diagrant wherever nec€sserlt.

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Field Theory

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a, *%

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Marks)

a/mt

PAR.T _ B

5 a.

ApointchargeQ:-60nc ismovingwithavelocity6 x 106m/s inthe direction specifiedby unit vector- 0.48 e, -0.6 e, + 0.64 6,. Find the magnitude of 1.he force on a moving charge in the magnetic field B - 2e, * 6e, - 6d, + 56,mT {S6 Marks) of2 For More Question Papers Visit -7www.pediawikiblog.com

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Find the magnetic field intensity is medium which traversed from mediurn 1 to medium 2 iraving u",, = 2.5and pr,, = 4. Given that H, : -30e, + 506y +'l\A,v/m, boundary is at

h

density.

Explain the concept of displacement current density. Show that in a capacitor the concluction current is equal to the displacement current. (88 Marks)

Do the fields 6 =(E, SinxSint6r)and fr

State ancl prove poynting theorem.

b.

=I*gosxCost6, po

ib

derivod from Faraday's law? Explain the concept ofretarded potential.

g.

6a.

{08 Marks) (S6 Marks)

co

z:0 plane. Derive the equation for magnetic energy

satisfy Maxwell's equation

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b.

m

068536

Explainthe term skin depthwetmarshysoil ischaracterizedby

(CI6

anci

(06 Marks) (08 Marks)

E

w

Explain reflection of unifonn plane r,vaves with norrnal incirience at a plane dielectric boundaqr. Obtain equation for reflection coefficient and transmission co - efficient.

(86 S{arks}

ia

fr *aves travelling in free space are normally incident on the interface with a perfe ct dielectric with e ,:3. Compute the magnitudes of incident, reflecte
H waves at the interface. What is standiilg wave, Define SWR. What

ed

C.

ik

depth. Explain Electromagnetic wave propagation is good conductor.

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Marks)

o=i0-20/m, e, :1.5

Fr: |. At 50H2. Caiculate i) Propagation constant ii) Skin

Ea.

(05 Marks) (06 Marks)

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is

coefficient?

.p

(06 Marks)

**r
w

w w

Manks)

its reiationship w,ith the refiection

2

af2

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