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.
State coulomb's law of electric charges.
(2 marks)
00
1.b.
Derive an expression for field due to a hollow conducting sphere.
(3 marks)
00
1.c.
Obtain ohm's law in point form.
(2 marks)
00
1.d.
Define electric dipole and dipole moment?
(3 marks)
00
1.e.
State Biot-savart's law.
(2 marks)
00
1.f.
Derive an expression fir MFI due to a straight current carrying filament. Use Ampere's circutial law.
(3 marks)
00
1.g.
What are the application of permanent magnets?
(2 marks)
00
1.h.
Define self inductance and mutual inductance.
(3 marks)
00
1.i.
State Faraday's law of electromagnetic induction.
(2 marks)
00
1.j.
Deduce an expression for Maxwell's fourth equation.
(3 marks)
00
PART-B
2.a.
Find the electric field at a point (1,-2,1)m if the potential is V=3x²+2yz²+2xyz.
(5 marks)
00
2.b.
Derive the expression for EFI due to a sheet of charge
(5 marks)
00
OR
3.a.
State and explain Gauss law.
(5 marks)
00
3.b.
Derive an expression for electric field intensity in different regions of a coaxial. Use Gauss's law.
(5 marks)
00
4.a.
Derive an expression fir Capacitance of Spherical Capacitor.
(5 marks)
00
4.b.
Obtain boundary conditions between conductor and Dielectrics interface.
(5 marks)
00
OR
5 .a
What is the behaviour of conductor in an electric field?
(5 marks)
00
5.b.
Deduce the expression for potential due to an electric dipole.
(5 marks)
00
6.a.
Prove div(B)=0
(5 marks)
00
6.b.
Derive an expression for MFI due to square current carrying wire at its centre.
(5 marks)
00
OR
7.a.
Obtain MFI due to a infinite sheet of surface current density K a.
(5 marks)
00
7.b.
Discuss point form of Ampere's circuit law.
(5 marks)
00
8.a.
Obtain the expression for the inductance of a toroidal ring.
(5 marks)
00
8.b.
A coil of 500 turns is wounded in a closed iron ring of mean radius of 10cm and cross section area of 3cm² . Find the self inductance of the winding if the relative permeability of iron is 800.
(5 marks)
00
OR
9.a.
Derive the expression for scalar and vector magnetic potentials.
(5 marks)
00
9.b.
Derive the expression for mutual inductance between a long straight wire and rectangular loop Laying in the same place.
(5 marks)
00
10.a.
State and explain Faraday's law of electromagnetic induction in integral and point form.
(5 marks)
00
10.b.
A square coil with a loop area 0.01cm² and 50 turns is rotated obout its axis at right angle to a uniform magnetic field B=IT. Calculate the instantaneous value of emf induced in the coil when its plane is :
(i) at right angle to the field
(ii) in the plane of the field.
(Iii) when the plane of the coil is 45° to the field.
(5 marks)
00
OR
11.a.
In a material for which $\sigma$=4.5V / m and $\epsilon$ =1 the electric field intensity is E=300 sin 10⁹ t Vx V/M. Determine the conduction and displacement current densities and the frequency at which the have equal magnitudes?
(5 marks)
00
11.b.
Derive an expression for displacement current.
(5 marks)
00