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GTU Electronics and Communication Engineering (Semester 5)
Engineering Electromagnetics
December 2014
Engineering Electromagnetics
December 2014
1 (a)
Find out unit vector i n perpendicular in the right-hand sense to the vectors
A= -ix +iy +iz , B=ix -iy+iz? Draw A, B and in . What is the angle between A and B?
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1 (b)
What is the principle of superposition of charges? Explain it in context with
static electric forces and electric field intensity with necessary equations.
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2 (a)
Explain Gauss's law with its application's examples and divergence theorem.
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2 (b)
Find out of work required to move the charge from point A to point B in static
electric field.
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2 (c)
Faraday's electric charge experiment is repeated with the following sequence of
steps: (i) A ball with total charge Q is brought inside an insulated metal ice-pail
without touching.(ii) The outside of the pail is momentarily connected to the
ground and then disconnected so that once again the pail is insulated.(iii)
Without touching the pail, the charged ball is removed.(a) Sketch the charge
distribution on the inside and outside of the pail during each step.(b) What is the
net charge on the pail after the charged ball is removed?
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3 (a)
What do you mean by polarization? Find out for dipole Electric field intensity at
distance r>>d-separation between charges.
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3 (b)
Derive an equation of energy stored in capacitor and also find out capacitance of
an isolated sphere.
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3 (c)
Discuss in detail passions and Laplace equation and uniqueness theorem in
context with it.
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3 (d)
For a surface between dissimilar materials what is the tangential component of
electric field and what is the normal component of electric flux density.
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4 (a)
What is the difference between Bio-Savart's law and ampere's law, define curl
find its equation for magnetic field? What is the correction suggested by
Maxwell in ampere's law for completion of mathematical description of EM
wave Theory.
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4 (b)
Define and derive an equation for vector magnetic potential also derive an
equation of force on moving charge under effect of EM field.
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4 (c)
For a surface between dissimilar materials what is the tangential component of
magnetic field intensity and what is the normal component of magnetic flux
Density.
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4 (d)
Prove that Energy stored in Inductor of the loop, isolated and is within a linear
permeable material is 1?2 Li2 . Also find out an inductance of an N-turn coil.
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5 (a)
Explain Faraday's law of EM induction, Comment on direction of induced e. m.
f. also using stoke's theorem find out point form of Maxwell's equation related
to EM induction.
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5 (b)
Write short note on plane (TEM) wave in context with wave equation and its
Solution.
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5 (c)
Given power density P=200 Watt/m2 at 2GHz find out permissible Electric and
magnetic field.
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5 (d)
State and prove pointing vector theorem of EM field.
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