BTCE19, BTCSE19, BTEE19, BTETE19,BTME19 III SEMESTER B.TECH EXAMINATION, JANUARY-2013 MATHEMATICS III Time: 3 Hours Max. Marks: 75

Size: px

Start display at page:

Download "BTCE19, BTCSE19, BTEE19, BTETE19,BTME19 III SEMESTER B.TECH EXAMINATION, JANUARY-2013 MATHEMATICS III Time: 3 Hours Max. Marks: 75"

Kellie Webb
5 years ago
Views:

1 BTCE9, BTCSE9, BTEE9, BTETE9,BTME9 SEMESTER B.TECH EXAMNATON, JANUARY-03 MATHEMATCS Time: 3 Hours Max. Marks: 75 GROUP A : Answer any three questions. (Question No. is compulsory) u u Q. f log Prove that x y (05) x y Q. Find the complete solution of the partial differential equation pq p q 0. (0) Q.3 Prove that the rectangular solid of maximum volume which can be inscribed in a sphere is cube. (0) Q. 4 A tightly stretched string with fixed and points x = 0 and x = is initially at rest in it s equilibrium position. f it is set vibrating by given each point a velocity kx( x) find displacement at any point of the string at any time t. (0) Q. 5 (a) Solve (D DD )z = cosx coszy (b) eliminate the arbitrary function f from Z = f(x +y ) and form the PDE (0) GROUP B : Answer any three questions. (Question No. 6 is compulsory) ' Q.6 Solve (D 5DD D' ) z 0 (05) Q.7 Find Laplace transform of the following periodic functions t 0 t f ( t) (0) t t Q. 8 Apply picard s method to find y(0, ) and y(0, ) given the first order ODE equation. dy x x y and y(0) = (0) dx Q. 9 (a) f u = sin (x + y ) 5 Prove that, u u u x xy y tan u. x x y y 5 (b) Solve p tanx + q tany = tanz (0) Q. 0 State and prove connelution theorem. Hence evaluate L s(s (0) a )

2 GROUP C: All Questions are Compulsory. Q. Fill in the blanks (each question carries marks) (i) f f(x,y,z)= 0 then x/ y. y/ z. z/ x = (ii) f z = f ( x, y) then x is known as error. (iii) f 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) = L[ e at t n ] = Q. Multiple choice question. (Each question carries 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) f f(x) = x sin x in (-, ),then value of b n = (a) (b) 0 (c) (d)- (iii) The equation of heat flow in one dimension is (a) u/ t =c u/ x (b) u/ t =c u/ x (c) u/ t =c u/ x (d) u/ t =c u/ x (iv) Laplace transform of (t sin t) is (a) s/(+ s) (b) s/(+ s ) (c) s/(+ s ) (d) s/(+ s ) u/ x + u/ y = f(x,y) is known as (a) Linear equation (b) Poisson equation (c) Hyperbolic (d)quadratic equation Q.3 True or false (each question carries mark). (i) sin - (x + y )/ (x + y ) is a Homogeneous function (ii) f z = f(x,y), then dz = f/ x. dx + f/ y. dy. (iii) L - [ /s] =. (iv) By removing arbitrary constant partial differential equations can be solved. The error occurred due to omission of some values is refereed as truncation error. f x for 0 0 for x x ******

3 BTCSE0 SEMESTER B.TECH EXAMNATON, JANUARY-03 SWTCHNG CRCUTS & LOGC DESGN Time: 3 Hours Max. Marks: 75 GROUP A : Answer any three questions. (Question No. is compulsory) Q. Why Nand gate & Nor gate are called universal gate. (05) Q. Find the minterms of the following Booleon expression by first Plotting each function in a map (0) (a) xy yz xy' z (b) C ' D ABC' ABD' AB' D (c) Wxy x' z' wxz Q.3 Design a Combinational Circuit that converts a 3-bit Gray Code number to a 3-bit straight binary number mplement the circuit with exclusive - OR gates. (0) Q.4 What is the difference between a serial & Parallel transfer? Explain how to convert serial data to parallel & parallel data to serial. What type of register is needed? (0) Q.5 What is a CMOS? Explain CMOS characteristics? (0) GROUP B : Answer any three questions. (Question No. 6 is compulsory) Q.6 Write the Postulates of Boolean Algebra. (05) Q.7 Obtain Exclusive-OR gate and Exclusive-NOR gate using AND gate. OR gate and NOT gate. (0) Q.8 Express the function F x y x z in a product of maxterm form. (0) Q.9 Simplify the following Boolean function using K-map. F ( w, x, y, z) (0,,, 4,5,6,8,9,,3,4) (0) Q.0 Explain BCD To 7 segment Decoder. (0) GROUP C: All Questions are Compulsory. Q. Fill in the blanks (each question carries marks) (i) (ii) (iii) (iv) The flip-flops are widely used in digital systems as. The Binary equivalent of decimal 5 is.. The output is high only when all inputs are high, it is gate. f two input of a NAND gate are connected to each other, the resultant output will be gate. The minimum number of flip-flops needed to construct a BCD decoder counter is. Q. Multiple choice question. (Each question carries marks)

4 (i) The Truth Table of a logic circuit lists :- (a) All possible inputs (b) All possible outputs (c) Both of them (d) None of them (ii) NAND and NOR gates are called universal gates, because (a) They are universally manufactured. (b) They can perform all other logic functions too. (c) They are basically same in design. (d) They can be used as amplifiers. (iii) n general, a logic gate whose all output entries are logic 0 except one entry that is is (a) either AND or NOR (b) either NAND or NOR (c) either EX-OR or EX-NOR (d) either AND or OR (iv) f two input of a NAND gate are connected to each other, the resultant output will be gate. (a) AND (b) OR (c) NOT (c) XOR The flip-flops are widely used in digital systems as (a) Counters & Registers (b) Calculators (d)electronic Organs (e)alog-to-digital Converters Q.3 True or false (each question carries mark). (i) (ii) (iii) (iv) NAND and NOR gates are called universal gates. Modern computers communicate and operate with binary numbers. ROM and RAM are combinational and sequential logic respectively. Output section contains OR gates to produce the desired function An encoder performs just a reverse decoder function. ******

5 BTCSE/BTEE/BTETE SEMESTER B.TECH EXAMNATON, JANUARY-03 SGNALS & NETWORK Time: 3 Hours Max. Marks: 75 GROUP A : Answer any three questions. (Question No. is compulsory) Q. Write the properties of the system function. (05) Q. For the resistive two port network of following figure find (0) (a) G ' (b) Z ' (c) Y ' Q. 3 n the circuit shown in following figure find the voltage at node, and the current. Assume the direction of current as shown. (0) Q.4 With the help of necessary sketches, explain the constructional details of the UJT with its applications. (0) Q.5 A capacitor of 5 F being charged initially to 0 is connected to a resistance of 0k and is allowed to discharge through it by switching of a switch k. Find the expression of discharging current. (0) GROUP B : Answer any three questions. (Question No. 6 is compulsory) Q.6 What is Linear & Non- liner signal? (05) Q.7 Explain (a) Time invariant & time variant network. (b) Casual & Non-casual Network (0) Q.8 What is meant by system function & explain mpedance, Admittance, oltage ratio transfer function & current ratio transfer function. (0) Q.9 Explain impulse response of series RC network. (0) Q.0 Explain driving point function & Transfer function for any network. (0)

6 GROUP C: All Questions are Compulsory. Q. Fill in the blanks (each question carries marks) (i) n electrical sense, the signal can be. (ii) f the signals are represented with respect to as an independent variable. t is called frequency domain representation. (iii) A is a set of branches of graph of a network that do not contain any loops. (iv) The path directly joining two nodes is called. are the branches of the network & graph which are removed in order to from a tree. Q. Multiple choice question. (Each question carries marks)] (i) Driving point impedance ( Z ) is given by (a) (b) (c) (ii) Reverse transfer impedance ( Z ) is given by (d) (a) (b) (c) (iii) Driving point admittance (y ) is given by (a) (b) (c) (iv) Forward transfer admittance (y ) is given by (a) (b) Which of the following condition is not correct for symmetric networks. (a) Z Z (b) Y = Y (c) h h h h = (d) A D Q.3 True or false (each question carries mark). (i) h is called short circuit input impedance. (ii) There is a definite relationship linking the number of branches and links of a given network which is given by l = b n +. (iii) Constant voltage source in S-domain is represented by (s). (iv) Time dependent voltage source = f(t) in S domain is represented by /S. Constant current source, in S-domain is represented by /S. (c) (d) (d) (d) ******

8 BTCSE,BTEE,BTETE SEMESTER B.TECH EXAMNATON, JANUARY-03 DGTAL ELECTRONCS Time: 3 Hours Max. Marks: 75 GROUP A : Answer any three questions. (Question No. is compulsory) Q. What are flip flop and counter excitation tables? (05) Q. What is the difference between synchronous and asynchronous presetting in counters? How can be presentable counters be used to construct counters with variable modules? (0) Q.3 Briefly describe how the hardware of an asynchronous UP-counter differs from that of a DOWN counter. (0) Q.4 Draw the RAM architecture and briefly describe it. (0) Q.5 Draw the timing diagrams during READ and WRTE operation of SRAM. (0) GROUP B : Answer any three questions. (Question No. 6 is compulsory) Q.6 Write advantages of digital system. (05) Q.7 Write short note on gray code. (0) Q.8 Represent (39) 0 & (46) 0 in (0) (a) s complement representation. (b) s complement representation Q.9 State and Explain different laws of Boolean algebra. (0) Q.0 Design half adder and full adder circuit. (0) GROUP C: All Questions are Compulsory. Q. Fill in the blanks (each question carries marks) (i) (ii) (iii) (ii) Adding (4)6 to (FE)6 produces A is a digital function that produces the arithmetic sum of two binary numbers in parallel. The MOS conducts when its gate to source voltage is positive OR Logic is logic Data selectors are basically the same as Q. Multiple choice question. (Each question carries marks) (i) ASC is (a)american standard code of information institution

9 (ii) (iii) (iv) (b)american standardized convert international information (c)american standardized convert information institution (d)american standard code of information intercharge SOP is (a)standard of product (b)standard of pass (c)sum of product (d)sum of pass D flipflop stands for (a)delay FF (b)data FF (c)decay FF (d)del FF AND logic is (a)subtraction logic (b)addition logic (c)multiplication logic (d)division logic Standard SOP form consist of (a)min term (b)max term (c)multiple terms (d)minimized terms Q.3 True or false (each question carries mark). (i) NOR gate is universal gate (ii) RAM is random access memory (iii) Byte is group of 6 bits (iv) Following symbol for MAND gate PSO is parallel in serial out. ******

10 BTCSE3, BTEE3, BTETE3, BTME3 SEMESTER B.TECH EXAMNATON, JANUARY- 03 ELECTRCAL MACHNES Time: 3 Hours Max. Marks: 75 GROUP A : Answer any three questions. (Question No. is compulsory) Q. Determine the current distribution in each branch for the circuit? (05) Q. How can the parameters of the equivalent circuit of transformer be determined? Draw the necessary circuits and derive the equations. (0) Q.3 Calculate the capacitance of the metal plates of are 4 m and separated by a dielectric of 3mm thick and of relative permittivity 6. f the electric field strength in the dielectric is 600 v/m. Calculate the total charge on each plate? (0) Q.4 What will be the values of capacitance, charge & energy, if the capacitance of a parallel plate capacitor with area of 600cm and a dielectric thickness of.5mm when dielectric is air, if the Capacitor is charged 00volts? (0) Q.5 A dc series motor is coupled to a mechanical load whose torque requirement varies as the square of speed. Assume that the magnetic circuit is unsaturated. When the motor is supplied at 300, the speed and armature current are 350 rpm and 30 A. t is desired that speed should be 500 rpm. Find the applied voltage and armature current. Armature and series field resistances are 0. each. (0) GROUP B : Answer any three questions. (Question No. 6 is compulsory) Q.6 What are the types of DC motor & its application? (05) Q.7 Explain working of synchronous motor. (0) Q.8 Using Nodal voltage method find the current is a 4 resistance for the n/w shown bellow. (0) 3Ω Ω Ω 4Ω 4 Q.9 Distinguish between conductor & insulator. (0) 4

11 Q.0 What are the starting methods of synchronous motor, Explain any one method. (0) GROUP C: All Questions are Compulsory. Q. Fill in the blanks (each question carries marks) (i) (ii) (iii) (iv) emf equation of alternator is n dc series motor torque is directly proportional to of armature current. n lap winding no. of poles to no. of parallel path. From short circuit test we determine. The efficiency of transformer is maximum when copper losses to iron losses. Q. Multiple choice question. (Each question carries marks)] (i) (ii) (iii) (iv) n a dc compound generator flat compound characteristic is obtained by connecting variable resistance. (a) across the series field (b) in series with series field (c) in parallel with shunt field (d) in series with shunt field What are the effect of armature reaction (a) cross magnetizing (b) magnetizing (c) de-magnetizing (d) all of above smaller air gap in polyphase.m. helps to (a) reduce the chances of crawling (b) increase starting torque (c) reduce chance of logging (d) reduce magnetizing current The dummy coils in DC machine are useful to (a) increase efficiency (b) imprese commutation (c) reduce cost of machine (d) none of above Direction of dc series motor can be changed (a) by interchanging supply terminal (b) by interchanging field terminal (c) either changing supply terminal or interchanging field terminals (d) by interchanging supply terminal as well as field terminal Q.3 True or false (each question carries mark). (i) The synchronous reactance is reactance due to armature reaction of machine (ii) n full pitch coil the coil span and pole pitch are equal (iii) The maximum torque will depend on rotor resistance (iv) The use of higher fluse density in the transformer design increase weight per KA. The power factor of a synchronous motor is independent of its excitation.

12 ******

13 BTCSE4P- SEMESTER B TECH N COMPUTER ENGNEERNG EXAMNATONJANUARY-03 ELECTRCAL MACHNES Time: hours (5X5=5). ANSWER ALL QUESTONS.. State & explain reciprocity theorem & millman theorem.. How can a delta circuit be converted into a star circuit? 3. Explain compound motor & series motor. 4. Why synchronous motor is not self starting? 5. State and explain Kirchhoff's law.

14 BTCSE5P- SEMESTER B TECH N COMPUTER ENGNEERNG EXAMNATON JANUARY-03 SGNALS&NETWORKS Time: hours (5X5=5). ANSWER ALL QUESTONS.. What are different types of network?. What is incidence matrix? 3. What are network variables? 4. What is transfer function? 5. What is complex frequency?

Sample Test Paper - I

Scheme G Sample Test Paper - I Course Name : Computer Engineering Group Marks : 25 Hours: 1 Hrs. Q.1) Attempt any THREE: 09 Marks a) Define i) Propagation delay ii) Fan-in iii) Fan-out b) Convert the following: