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Posted By: kannan.p Member Level: Silver Posted Date: 30 May 2008
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2007 Anna University B.E Electronics and Communication EC 233 - ELECTROMAGNETIC FIELDS NOV/DEC 2007 Question paper
EC 233 - ELECTROMAGNETIC FIELDS NOV/DEC 2007
PART-A
1. Define "Electric scalar potential".
2. What is Electric field intensity?
3. What do you mean by "Magnetic moment"?
4. Define "Ampere's law".
5. Determine the capacitance of the parallel plate capacitor composed of tin foil sheets, 25 cm square for plates separated through a glass dielectric 0.5 cm thick with relative permittivity 6.
6. What is polarization?
7. List out any two differences between paramagnetic and dia-magnetic materials.
8. Differentiate resistance and reluctance.
9. What is condition current?
10. What is ponyting vector?
PART - B
11 (a) (i) State and explain coulmb's law and the equation of force between two point charges.
Calculate the force on a unit positive charge at P on X axis whose co-ordinates are (x=2m,y=0) due to the following two charges, A positive charge of 10^ -9 coulomb is situated in air at the origin (x=0,y=0) and a negative charge of -2*10^ -9 coulomb is situated on the X-axis (x=1m,y=0).
(ii) State and explain Divergence Theorem.
OR
(b) (i) Determine the variation of field from point to point due to
(1) A single spherical shell of charge with radius R1.
(2) Two concentric spherical shells of charge of radius R1 ( inner) and R2 (outer)
(ii) Derive the expression for electric field intensity due to an array of point charges.
12 (a) (i) State and explain Biot-Savart's law for the magnetic field.
(ii) Develop an expression for the magnetic field intensity both inside and outside of a solid cyclindrical conductor of radius 'a' carrying a current 'I' with uniform density, and sketch the variation of field intensity as a function of distance from the conductor axis.
OR
(b) (i) State and explain Gauss law for magnetic fields.
(ii) Consider a conductor of rectangular loop 'abcd' situated in a uniform magnetic field of 'B' wb/m2. Derive the expression for torque and magnetic moment.
13. (a) (i) Derive an expression to determine the capacitance between two concentric spherical shells.
(ii) A parallel plate capacitor has a plate separation t. The capacitance with air only between the plates is C. When a slab of thickness 't' and relative permittivity Er is placed on one of the plates, the capacitance is C'. Show that C'/C=Er t/(t`=Er(t-t`))
OR
(b) (i) Derive the energy and energy density of the static electric field.
(ii) Derive the conditions at a boundary between dielectrics in the electric field which have permittivities E11 and E2.
14.(a) (i) Explain the magnetization curve and hysteresis loop of a toroid with ferromagnetic core.List out any five ferro magnetic materials
(ii) Explain the following terms:
(1) Magneto motive force
(2) Reluctance
(3) Flux of magnetic circuit.
OR
(b) (i) Derive the boundary conditions for two different media in the magnetic fields.
(ii) Derive the expression for the inductances of a co-axial transmission line with conducting cyclinders of radii 'a' (internal) and 'b' (external)
15.(a) Derive the Maxwell's equations in both differential form and internal form.
OR
(b) (i) Derive the poynting theorem from the Maxwell's equation for the general case
(ii) In a material for which =4.5 mho/m and Er=1, the electric field intensity is E=300 sin 10^ 9 tux V/m. Determine the condition and displacement current densities and the frequency at which they have equal magnitude.
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