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Electromagnetic Fields Question Paper - Dec 16 - Electrical And Electronics (Semester 3) - Jawaharlal Nehru Technological University (JNTUH)
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Electromagnetic Fields - Dec 16
Electrical And Electronics (Semester 3)
Total marks: 75
Total time: 3 Hours
Note:-
This question paper contains two parts A and B.
Part A is compulsory which carries 25 marks.
Part B consists of 5 units. Answer any one full question form each unit.
Each question carries 10 marks and may have a,b,c as sub questions.
1.a.
Write the properties of potential function.
(2 marks)
00
1.b.
What is Maxwell's first law?
(3 marks)
00
1.c.
Define electric dipole.
(2 marks)
00
1.d.
Define convection and conduction current densities.
(3 marks)
00
1.e.
Define magnetic field intensity.
(2 marks)
00
1.f.
Write the application of Ampere's circutial law.
(3 marks)
00
1.g.
Write vector poisson's equation.
(2 marks)
00
1.h.
What are the application of permanent magnets?
(3 marks)
00
1.i.
Define time varying fields.
(2 marks)
00
1.j.
How dynamically induced EMF is produced?
(3 marks)
00
PART-B
2.a.
State and prove gauss's law as applied to an electric field and determine the field due to an infinite line charge.
(5 marks)
00
2.b.
Derive poisson's and Laplace equation starting from point form of Gauss law.
(5 marks)
00
OR
3.a.
Show that the electric field intensity at any point inside a hollow charged spherical conductors is zero.
(5 marks)
00
3.b.
Three points charges each 5 nC are located on the x-axis at points--1,0 and +1 m in free space. (i) find E at x=5 (ii) Determine the value and location of the equivalent single point charge that would produce the same field at very large distances.
(5 marks)
00
4.a.
Establish the electrostatic boundary conditions for the tangential components of the electric fields and electric displacement at the boundary of two non dielectrics.
(5 marks)
00
4.b.
The relative permeability of dielectrics in parallel plate capacitor varies linearly from 4 to 8. If the distance of the separation of plates is 1cm and area of cross section of plate is 12cm² , find the capacitance. Derive the formula used.
(5 marks)
00
OR
5.a.
A spherical capacitor with inner sphere of radius 1.5cm and outer sphere of radius 3.8 cm has an homogeneous dielectric of $\epsilon$=10 $\epsilon$₀. Calculate the capacitance of the capacitor. Derive the formula used.
(5 marks)
00
5.b.
Prove that the derivative of the energy stored in an electrostatic field with respect to volume is ½ D.E. where D and E electrics flux density and electric field intensity respectively.
(5 marks)
00
6.a.
State and explain Biot-savart's Law and derive the expression for the magnetic field at a point due to an infinitely long conductor carrying current.
(5 marks)
00
6.b.
What are the limitations of Ampere's current law? How this law can be modified to time varying field ?
(5 marks)
00
OR
7.a.
Derive Maxwell's second equation div (B) =0.
(5 marks)
00
7.b.
Derive magnetic field intensity due to a square current carrying elements.
(5 marks)
00
8.a.
Derive the Neumann's formulae for the calculation of self and mutual inductance.
(5 marks)
00
8.b.
Explain the concept of vector magnetic potentials.
(5 marks)
00
OR
9.a.
Determine the inductance of a toroid.
(5 marks)
00
9.b.
A rectangular coil of a area 10cm² carrying a current of a 50 lies on plane 2x + 6y -3z =7 such that the magnetic moment of the coil is directed away from the origin. Calculate its magnetic moment.
(5 marks)
00
10.a.
Explain concept of displacement current and obtain an expression for the displacement current density.
(5 marks)
00
10.b.
Explain in detail obout modification of Maxwell's equations for time varying fields.
(5 marks)
00
OR
11.a.
Explain Faraday's law of electromagnetic induction and derive the expression for induced EMF.
(5 marks)
00
11.b.
Derive Maxwell's equations in internal form for time varying fields.
(5 marks)
00
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