Janardan Rai Nagar Rajasthan Vidyapeeth B-tech Examination University model question papers

Posted Date: 04 Sep 2008      Posted By:: Megha    Member Level: Silver  Points: 5 (₹ 1)

# 2007 Janardan Rai Nagar Rajasthan Vidyapeeth B.Tech Electrical Engineering B-tech Examination University Question paper

 Course: B.Tech Electrical Engineering University/board: Janardan Rai Nagar Rajasthan Vidyapeeth

BIT - III TOTAL PAGES: 03
BACHELOR IN TECHNOLOGY
SEMESTER –III)(COMMON)
BSAE1/BSBT1/BSCH1/BSC1/BSCO1/BSE1/BSET1/BSMR1/BSM1/BSMI1/BSMT1- MATHEMATICS - III
TIME: 03 HOURS MAX. MARKS: 75

GENERAL INSTRUCTIONS:
1. Question paper is divided into three groups
2. Each group is of 25 marks each
3. Figure to the right in bracket indicates mark
4. Assume suitable data if necessary
GROUP A: Answer any three questions. Question No. 1 is compulsory.
Q.1 Solve x(y2 + z2) p + y (z2 + x2) q = 2 (y2 – x2)? (05)
Q.2 A sinusoidal voltage E sinwt is passed through a half-wave rectifier
which clips the negative portion of the wave. Expand the resulting periodic function UCT as farier

series defined below uct = where T = (10)

Q.3 The temperature ‘u' is maintained at 00 c along the three edges of a square plate of Length 100 cm and fourth edge is maintained at a constant temperature ‘u0' until Steady state conditions prevails. Find an expression for the temperature ‘u' at any Point (x,y) . Calculate the temperature at the centre of the plate. (10)

Q.4 (a) Define Dirac-delta function (b)
Q.5 State and prove final value theorem and convolution theorem ? (10)
GROUP B: Answer any three questions. Question No. 6 is compulsory.
Q.6 Calculate the Laplace transform of the following (05)
a) Unit step function b) Impulse Function
Q.7 Solve dy/dx =y-x2 with Y(0) =1, by picard's method. Hence find the
value of Y(0.1), y (0.2) , y(0.3) (10)
Q.8 Solve the equation with conditions u(x,0) = 3 sin n x,
U(o, t) = 0 = uc(t) 00? (10)
Q.9 Solve the partial differential equation ? 2u =-10 ( x2 +y2 +10) (10)
over the square with sides x=0 =y, x= 3=y with u =0 on the boundary and mesh length =1.
Q.10. If s= u(1-v), y=uv. Compute the Jacobains J= ?' (x, y)/ ?(u,v) and
J= ?' (u, v)/ ?( x,y). Verify the result JJ' =1 (10)

GROUP C: All Questions are Compulsory.
Q.11 Fill in the blanks (each question carries 2 marks)
(i) If f(x,y,z)= 0 then ?x/?y . ?y/?z . ?z/?x = --------------.
(ii) If z = f ( x , y) then ?x is known as ------------ error.
(iii) If u & v are the functions of x & y , then ?( u , v) / ? ( x , y) X ? ( x , y) / ? ( u , v) = --------.
(iv) ? (x , y)/ ? ( r, ?) X ? ( r, ?) / ? ( x, y) = ---------.
(v) L[ eat tn] = ---------.
Q.12 Multiple choice question. (Each question carries 2 marks)
(i) The partial differential equation of all spheres whose centre lies on z- axis is
(a) py =qx (b) p =qx (c) py =q (d)py -qx
(ii) If f(x) = x sin x in (-? , ?) ,then value of bn =
(a) 1 (b) 0 (c) 2 (d)-1
(iii) The equation of heat flow in one dimension is
(a) ?u/?t =c2 ?2u/?x (b) ?u/?t =c2 ?u/?x2
(c) ?u/?t =c2 ?2u/?x2 (d) ?u/?t =c ?2u/?x2
(iv) Laplace transform of (t sin t) is
(a) 2s/(1+ s) (b) s/(1+ s2)
(c) 2s/(1+ s2) (d) 2s/(1+ s2)2
(v) ?2u/?x2 + ?2u/?y2 = f(x,y) is known as
(a) Linear equation (b) Poisson equation

### Related Question Papers:

• MSCI03-ELECTRONIC INSTRUMENTS AND SYSTEMS

• MSCI 01 – INDUSTRIAL INSTRUMENTATION AND CONTROL

• MSVD03-VERNILOG HARDWARE DESCRIPTION LANGUAGE

• MSVD02-ANALOG VLSI DESIGN

• MSVD01 – EMBEDDED SYSTEM DESIGN

• ### Categories

Submit Previous Years University Question Papers and make money from adsense revenue sharing program

Are you preparing for a university examination? Download model question papers and practise before you write the exam.

Looking for University or College admissions in India for 2021 - 2022 Academic Year?

Top Contributors
TodayLast 7 Days
more... 