(DEE211) Total No. of Questions : 5] [Total No. of Pages : 02 ELECTRICALS AND ELECTRONICS (Paper - I) : MATHEMATICS - III Answer question No.1 compulsory (15 1 = 15) Answer one question from each unit (4 15 = 60) Q1) a) Define periodic function. b) What is the Fourier series expansion of the function f (x) in the interval c < x < c + 2l. c) If f (x) = x 2, π < x < π, then find the Fourier coefficient a 0. d) Write the form of half range sine series for f (x) in the range 0 < x < l. e) State the change of scale property of Fourier transforms. f) State the convolution theorem of Fourier transform. g) State the Fourier cosine integral. h) Write the Newton-Raphson iteration formula. i) Define extrapolation. j) State Bessel s interpolation formula. k) Write Lagrange s interpolation formula. l) Show that = E 1. m) Define numerical integration. n) Write the Gauss s quadrature formula. o) Write Simpson s 8 3 rule. Q2) a) Find a Fourier series to represent x x 2 from x = π to x = π. b) Find the complex form of the Fourier series of the function f (t) = sint, 0 < t < π. c) Find the Fourier series to represent the function sin x in the interval π < x < π. d) Obtain the half-range sine series for e x in the interval 0 < x < 1. I Q3) a) Find the Fourier transform of 2 1 x, x 1 f ( x) =. 0, x > 1 Hence evaluate x cos x sin x x cos 3 dx 0 x 2. b) Using Newton-Raphson method find a root of the equation x sin x + cos x = 0 which is near x = π, correct to three places of decimals. N-3118 P.T.O.
ax x c) Find the Fourier sine transform of e. d) Solve the following equations by Gauss elimination method : 2x + 2y + z = 12; 3x + 2y + 2z =8; 5x + 10y 8z = 10. (DEE211) II Q4) a) Using Gauss s forward formula, evaluate f (3.75) from the following table : x : 2.5 3.0 3.5 4.0 4.5 5.0 y : 24.14 22.04 20.22 18.64 17.26 16.04 b) Use Bessel s formula to obtain y 5, given y 20 = 24, y 24 = 32, y 28 = 35, y 32 = 40. c) Use Lagrange s interpolation formula to find the value of y when x = 10, from the following data : x : 5 6 9 11 y : 12 13 14 16 d) Find the first and second derivatives of the function tabulated below, at the point x = 1.1. x : 1.0 1.2 1.4 1.6 1.8 2.0 f (x) : 0 0.128 0.544 1.296 2.432 4.00 Q5) a) Evaluate t sin t dt using : t 0 i) Trapezoidal rule and ii) Simpson s 3 1 rule. b) Find by Taylor s series method, the value of y at x = 0.1 from c) Find an approximate value of y when x = 0.1, if Picard s method. llll dy 2 xy 1, y(0) 1 dx = =. dy 2 = x y and y = 1 at x = 0, using dx N-3118 2
Total No. of Questions : 9] [Total No. of Pages : 02 ELECTRICALS AND ELECTRONICS (Paper - II) : NETWK ANALYSIS - I Answer Question No.1 compulsory (15 1 = 15) Q1) a) Define potential difference. b) Define coulomb. c) What is meant by linear element? d) Give the equation of energy stored by an inductor. e) State milliman s Theorem. f) State compensation Theorem. g) What is meant by average value? h) Define form factor. i) Define series resonance. j) What is meant by apparent power? k) Define Q-factor of a coil. l) Define power factor. m) State initial value theorem. n) What is meant by phare sequence? o) What are the advantages of star connection? Answer any ONE question from each unit (4 15 = 60) Q2) a) State and explain the kirchoff s laws. b) Find the total resistance for circuit shown in fig. (DEE212) Q3) a) Explain briefly the method of solving an electrical circuit using mesh analysis. b) A capacitor ps charged to 50MC. The voltage across the capacitor is 150V. It is then connected to another capacitor four times the capacitance of the first capacitor. Find the loss of energy. N-3119 P.T.O.
I Q4) a) State and explain Thevenin s theorem. b) Find the current in 3 resistor in given circuit diagram shown in fig. Q5) a) For the given wave form, calculate the average and rms value. b) Explain the operation of RLC series circuit with respective phasor diagrams and the derive required equations. II Q6) a) Explain the response or R, L, C series-parallel circuit to sinuroidal excitation. b) What are the applications of network theorems to ac circuits. Q7) a) Explain series and parallel resonance of a circuit. b) Calculate the value of L for which the circuit given below in resonance at a frequency of w = 4500 rad/sec. Q8) a) Explain steady state and transient response of an circuit. b) Explain DC response of an R-C circuit. Q9) a) Explain sinusoidal response of R-L circuit. b) Find the current equation when the switch is opened at t = 0. xxxx N-3119 2
(DEE213) Total No. of Questions : 9] [Total No. of Pages : 02 Electricals and Electronics (Paper - III) : ELECTRONIC DEVICES Answer Question No.1 compulsory Answer any ONE question from each unit Q1) a) List the applications of CRO. b) Define Diffusion. c) What is meant by potential energy? d) What is an intrinsic semiconductor? e) Give the applications of PN junction diode. f) What is Tunnelling effect? g) Give the applications of LCD. h) What are the limitations of zener diode? i) What is meant by Q point of a BJT? j) Define β and γ of a transistor. k) List the applications of a photo transistor. l) What is a thermal runaway? m) Define rd and gm of a FET. n) What are the applications of UJT? o) Define pinch-off voltage of FET. Q2) a) Explain the motion of charged particles in magnetic field. b) State and explain law of mass action. Q3) a) Explain the electrostatic deflection in a CRT. b) Write short notes on conductivity of a semiconductor. I Q4) a) Explain the temperature dependence of a diode. b) With neat figure explain the working of a Tunnel diode. N-3120 P.T.O.
Q5) a) Explain the working of a photo diode. b) With neat figure explain the characteristics and applications of LED. II Q6) a) Explain the transistor current components. b) Discuss the compensation circuits of a BJT. Q7) a) Draw the input and output characteristics of a CE configuration BJT. b) Explain the thermal runaway in BJT. Q8) a) Compute μ, rd and gm of a JFET. b) Explain the operation of a UJT. Q9) a) Draw a neat figure and explain depletion MOSFET. b) Write short notes on DIAC and TRIAC. (DEE213) xxxx N-3120 2
(DEE215) Total No. of Questions : 9] [Total No. of Pages : 02 ELECTRICALS AND ELECTRONICS (Paper - V) : Digital Electronics Answer Question No.1 compulsory Answer any ONE question from each unit Q1) a) What are universal gates and draw them. [2] b) Define minterms and maxterms. [2] c) (18456) 10 = ( ) 8 = ( ) 16. [2] d) Give the procedure to convert AOI to N. [2] e) List the applications of registers. [2] f) Define a Latch. [1] g) Give the advantages of CMOS. [2] h) Convert D to T flop. Draw only figures. [2] Q2) a) Reduce the expression A + B [AC + (B + C ) D]. b) Express - 73.75 in 2 s complement form. Q3) a) Expand A ( A + B) ( A + B + C ) to maxterms and minterms. b) Prove that if A B = 0 then A = B. I Q4) a) With the help of truth table explain a full subtractor. b) Explain the working of a parity generator. Q5) a) With a neat figure explain the working of a 2 bit comparator. b) Give a note on carrylook ahead adder. II Q6) a) Explain the role of state table and state diagram. b) Design a 3 bit synchronous counter. N-3122 P.T.O.
Q7) a) Explain the function of a shift register that shifts from L to R. b) What are the applications of counters. Q8) a) Compare RT and TTL families. b) Give a note on PAL. Q9) a) What are the salient features of DTL and ECL families? b) Explain the features of PLA. (DEE215) llll N-3122 2
(DEE216) Total No. of Questions : 9] [Total No. of Pages : 02 ELECTRICALS AND ELECTRONICS (Paper - VI) : Electro Mechanics - I Q1) a) What is energy balance equation? b) Give the expression for energy density of magnetic field. c) What are the examples of singly-excited electro-mechanical energy conversion devices? d) What is coupling field reaction? e) State Faraday s laws. f) What are interpoles? g) Distinguish between lap and wave winding. h) What is critical speed? i) Give the applications of DC compound motors. j) What is the purpose of a starter in a DC motor? k) List the losses that occur in a DC machine. l) Why are permanent magnet generators rarely used in industry. m) What is meant by critical resistance of a dc series generator. n) Why Hopkinson s test is also called the back-to-back or regenerative test. o) What is hot spot temperature. Q2) a) Explain the principle of energy conversion through electric fields. b) Discuss the energy balance equation with regard to energy conversion. Q3) a) Explain the working of singly excited magnetic field systems. b) Write a note on forces and torques in permanent magnet systems. I Q4) a) Explain the constructional and working aspects of a DC generator. b) The armature of a 2-pole, 200V generator has 400 conductors and runs at 300 rpm. Calculate the useful flux per pole. If the no. of turns in each field coil is 1,200, what is the average value of the emf induced in each coil on breaking the field, if the flux dies away completely in 0.1sec. Q5) a) Explain in detail the concept of Armature reaction in DC machines. b) Derive the armature ampere turns equation if armature reaction is felt by the DC machine. N-3123 P.T.O.
II Q6) a) Explain the parallel operation of DC generators. b) With the help of neat sketch, discuss the working of 3-point starter. Q7) a) Draw and explain the characteristics of DC motors. b) Write a note on the applications of DC motors. Q8) a) Explain the Swinburne s test conducted on DC machines. b) Discuss the principle and operation of Rosenberg generator. Q9) Explain in detail the principle and working of metadyne. xxxx (DEE216) N-3123 2
(DEE217) Total No. of Questions : 9] [Total No. of Pages : 01 ELECTRICALS AND ELECTRONICS (Paper - VII) : Environmental Studies Q1) Write short notes on : a) Functions of eco-system. b) Mega diversity habitat. c) Cloud seeding. d) Environmental education. Answer Question No.1 compulsory (1 15 = 15) Answer any ONE question from each unit All questions carry equal marks e) Florosis in A.P. Q2) Explain the scope and significance of environmental studies. (4 15 = 60) Q3) What are the costs and benefits of dams? I Q4) State the techniques employed in solid waste management. Q5) Discuss the local and global issues in environmental pollution. II Q6) Describe the relationship between economy and environment. Q7) Elucidate the extent and magnitude of environmental movements in India. Q8) What are the important features of forest conservation Act? Q9) Enumerate the recommendations of Earth summit 1992. llll N-3124
(DEE221) Total No. of Questions : 9] [Total No. of Pages : 02 ELECTRICALS AND ELECTRONICS (Paper - I) : Mathematics - IV Answer Question No.1 is compulsory (15 1 = 15) Q1) a) Define regular point. b) Write the C-R equations in polar form. c) Define the continuity of f (z). d) Define harmonic function. e) State cauchy s integral formula. f) State Laurent s series. g) State Poisson s integral formula. h) Define essential singularity of an analytic function. i) Define simple pole. j) Define residue of f (z). k) 1 Determine the poles of f ( z) 2 z ( z i) l) Write Bessel s differential equation. m) Write the generating function for P n (x). n) Find P 1 (x). o) State Rodrigue s formula for legendre polynomial. Answer ONE question from each unit (4 15 = 60) Q2) a) Determine the analytic function whose real part is e 2x (xcos 2y - y sin 2y). b) Show that the function f ( z) = xy is not analytic at the origin even though C-R equations are satisfied thereat. 2 2 2 1 Q3) a) If f (z) is a regular function of z, prove that + f () z 4 f () z 2 2 = x y b) Determine the regular function whose imaginary part is ( x y). 2 2 ( x + y ) 2. N-3125 P.T.O.
Q4) a) State and prove Cauchy s theorem. I (DEE221) b) Find the Laurent s expansion of 2 z 6z 1 ( z 1)( z 3)( z+ 2) in the region 3 < z + 2 < 5. cos z Q5) a) Evaluate, using Cauchy s integral formula dz around a rectangle with vertices 2 z 1 2 ± i, 2 ± i. 1 b) Find the nature and location of singularities of the function ( z + 1)sin. z 2 II c 2 x dx. 2 2 Q6) a) Use residue theorem, to evaluate ( x + 1)( x + 4) z 3 b) Evaluate dz 2, where c is the circle z + l + i = 2. z + 2z + 5 c Q7) a) Show that 2 2 cos2θ d θ 2 D 2 = 2 2,(a < 1) 0 1 2acosθ + a 1 a. b) Solve in series the equation y + xy + y = 0. Q8) a) d Show that [ n J ( )] n n = J n+ 1 ( ). dx b) Express J 5 (x) in terms of J 0 (x) and J 1 (x). Q9) a) To show that 1 2 2 (1 2 xt + t ) = t P ( x). n = 0 n n b) Show that 1 2 2 n( n+ 1) x Pn 1 Pn+ 1dx=. 1 (2n 1)(2n+ 1)(2n+ 3) llll N-3125 2
Total No. of Questions : 9] [Total No. of Pages : 02 ELECTRICALS AND ELECTRONICS (Paper - II) : ELECTRONIC CIRCUITS - I Answer Question No.1 compulsory (15 1 = 15) Q1) a) Define PIV. b) Give the diode equation. c) Which transistor configuration has lowest input impedance? d) Give the relation between α, β ε γ of a transistor. e) Define second harmonic distortion. f) What is aclipping circuit? g) What is the significance of L filter? h) What is a cascade stage? i) Define voltage regulation of a rectifies. j) Define early effect. k) Define Transistor Transconductance. l) h - parameters are valid in which frequency range. m) What is the darlington pair? n) What ae the advantages of multistage amplifiers? o) (DEE222) Answer any ONE question from each unit (4 15 = 60) Q2) a) Draw a neat figure of a half wave rectifies with filter and obtain an expression for the ripple factor. b) Draw the response of LPF to step and ramp inputs and explain the same. Q3) a) What is the significance of L and π section filters in a rectifies. b) Draw a circuit with double ended clipper and explain its working. I Q4) a) How do you determine h - parameters from the output characteristics of a BJT in CE configuration. b) Explain the Millers theorem. Q5) a) List the benefits of h - parameters. b) Explain the single stage CE amplifier at low frequencies. N-3126 P.T.O.
II Q6) a) With the help of necessary equations, discuss the variations of Av, Ai, Ri, Ro, Ap with R s and R i in CE configuration. b) Draw the high frequency equivalent circuit of a BJT and explain the same. Q7) a) Derive the expressions for hybrid - π parameters. b) Obtain the expressions for f β and f T of a transistor. Q8) a) Give the significance of two capacitors in hybrid π model. b) Explain the operation of a FET in CG configuration at low frequencies. Q9) a) With a neat figure give the function of a FET amplifies at high frequency in CS configuration. b) Draw the high frequency response of two cascaded stages and explain the same. xxxx N-3126 2
(DEE223) Total No. of Questions : 9] [Total No. of Pages : 02 Electricals and Electronics (Paper - III) : ELECTROMAGNETIC FIELD THEY Answer Question No.1 compulsory (15) Answer any One question from each unit (4 15 = 60) Q1) a) Define Divergence. b) State Gauss s law. c) Define potential difference. d) Define Dipole moment. e) Define dielectric strength of a material. f) State Stokes theorem. g) What is scalar magnetic potential? h) Distinguish scalar and vector magnetic potential. (2) i) What is a paramagnetic material? j) What is an anti ferromagnetic material? k) Define magnetization. l) Define mutual inductance. m) State poynting theorem. n) What is transformer action. Q2) a) State a prove divergence theorem for electric field. b) Derive the electric field intensity E and potential due to a dipole. Q3) a) Explain duality between D and J. b) Derive Poisson s equation. I Q4) a) Calculate field using Ampere s circuital law for infinitely long solenoid. b) Define and explain vector magnetic potential. Q5) Explain how to calculate field using ampere s circutal law for symmetrical current distribution for coaxial cable. N-3127 P.T.O.
II (DEE223) Q6) a) Give the Lorentz force equation and find the force on the differential current element. b) A conductor 4m long lies along the y - axis with a current of 10A in x - direction. Find the force on the conductor if the field in the region is B = 0.05 ax. Q7) a) Obtain the equation of continuity for time-varying fields. b) Find the inductance of a toroid of circular cross section. Q8) a) Derive the wave equation for time varying field. b) Explain poynting theorem. Q9) a) Find the power density in an electro magnetic field. b) Write short notes on uniform plane wave motion lossy dielectrics. llll N-3127 2
(DEE224) Total No. of Questions : 9] [Total No. of Pages : 02 ELECTRICALS AND ELECTRONICS (Paper - IV) : Network Analysis - II Q1) a) Define oriented graph. b) What is subgraph? c) Define a co-tree. d) Give examples for dual elements. e) What is the degree of a Node? f) Define isomorphism. g) What is a recurrent network? h) Give the application of hybrid parameters. i) Write the condition of symmetry in z -parameters. j) Define pole and zero. k) What is dot convention in coupled circuits? l) Define critical coefficient of coupling. m) Write the examples for passive filters. n) Define attenuation. o) What is a band pass filter? Q2) a) For the resistive network shown, draw the graph and tree of the network. Also develop the fundamental cut-set matrix. b) Explain the concept of duality. Q3) a) By consider a simple two-port network, evaluate the open circuit impedance parameters. N-3128 P.T.O.
b) Find the y-parameter for the network shown. (DEE224) I Q4) a) Using Laplace transformation technique, find i 2 (t) at t = 0+ following switching at t = 0 of switch k. Assume network previously deenergized. b) Briefly explain the pulse response of series RC circuit. Q5) Explain in detail the response of RL, RC, and RLC circuits for impulse excitations using Laplace transformation. II Q6) a) Explain briefly the theory of single tuned coupled coils. b) Two coupled coils have self-inductances 4 = 10 10 3 H and L 2 = 20 10 3 H. The coefficient of coupling(k) being 0.75 in the air, find voltage in the second coil and the flux of first coil provided the second coil has 500 turns and the circuit current is i 1 = 2sin 314t A. Q7) a) Discuss about the analysis of prototype low pass filter in detail. b) A T-section low pass filter has series inductance 80mH and shunt capacitance of 0.022μf. Determine the cut off frequency and nominal design impedance R o. Also design an equivalent π - section. Q8) a) Derive the relationship between line and phase voltages and currents in 3-φ delta connection using phasor diagrams. b) A star connected load has impedance of (3 + j4) in each phase and is connected across a balanced 3-φ delta connected alternator having line voltage of 120V. Obtain the line currents of both load and generator. Q9) a) Explain the measurement of 3-φ power using 2-Wattmeter method. b) Discuss the theory of generation of 3-phase voltages. llll N-3128 2
(DEE225) Total No. of Questions : 9] [Total No. of Pages : 02 ELECTRICALS AND ELECTRONICS (Paper - V) : PRIME MOVERS AND PUMPS Answer Question No.1 compulsory (15 1 = 15) Answer One question from each unit (4 15 = 60) Q1) a) State Newton s Law of viscosity. b) Define the term Jet propulsion. c) What is Priming? d) What do you understand by characteristic curves of a pump? e) Define the term turbines. f) What do you mean by gross head? g) Define the term speed ratio. h) What is specific speed of a turbine? i) Define thermodynamic work. j) Differentiate between mass and weight. k) Define the law of conservation of mass. l) Define first law of thermodynamics. m) Write the important principle of working of four stroke CI engines. n) What is the difference between steam turbine and steam engine? o) Why is the thermal efficiency of gas turbine high at very high altitude? Q2) A jet has a direct impact on a plate moving in the direction of the jet. Prove that the force acting on the plate and work done are given by F = ρa (V U) 2, W = ρa (V U) 2.U Q3) a) What do you understand by characteristic curves of a pump? What is the significance of the characteristic curves? b) With a neat sketch, explain the principle and working of a centrifugal pump. I Q4) A Kaplan turbine working under a head of 25m develops 11830kW shaft power. The outer diameter of the runner is 3.5m and hub diameter 1.80m. The guide blade angle at the extreme edge of the runner is 35º. The hydraulic and over all efficiencies of the turbines are 90% and 85% respectively. If the velocity of whirl is zero at out let, determine : N-3129 P.T.O.
(DEE225) a) Runner rane angles at in let and out let at the extreme edge of the runner, and b) Speed of the turbine. Q5) a) What do you mean by gross head, net head and efficiency of turbine? Explain the different types of the efficiency of a turbine. b) What is a draft tube? Why is it used in a reaction turbine? Describe with neat sketch two different types of draft tubes. II Q6) a) Explain from the micro scopic point of view the concept of pressure and internal energy. b) Explain the working of constant volume gas thermometer. Q7) a) Explain the sequence of operations of a Carnot engine with a help of neat sketch. b) A Carnot heat pump is used for heating a building. The outside air is at 6ºC and the building is maintained at 24ºC by supplying 40,000 kcal/hr. Find the power required forces the heat pump and also its COP. Q8) a) Discuss the principle of working of four stroke CI and SI engines. b) Describe the requirements of a good combustion chamber for SI and CI engines. Q9) a) What is the difference between steam turbine and steam engine? Differentiate between impulse and reaction turbines. b) What is the type of turbine which is most popular in steam turbine power plant? What are the factors which decide the choice of impulse (or) reaction turbine for a particular need? llll N-3129 2
(DEE226) Total No. of Questions : 9] [Total No. of Pages : 02 ELECTRICALS AND ELECTRONICS (Paper - VI) : Electro Mechanics - II Q1) a) What is meant by equivalent circuit of a transformer? b) Why transformer works at high efficiency? c) Does the flux in a transformer core increases with load? d) How can iron loss be measured? e) What are the functions of transformer oil? f) What is a booster transformer? g) How a transformer is rated? h) Define All day efficiency. i) Define slip. j) What is a circle diagram? k) Distinguish between squirrel cage and slip ring induction motor. l) Draw the equivalent circuit of an induction motor. m) Give the applications of Induction generators. n) What are the advantages of a Auto-transformer? o) Why 1 - φ induction motor is not self-starting? Q2) a) Derive the emf equation of a single - phase transformer. b) Explain the working of a transformer when connected to an inductive load by using phasor diagrams. Q3) a) Explain about the two testing methods of transformer briefly. b) In a 400V, 50Hz transformer, the total iron is 2500W. When the supply voltage and the frequency reduced to 200V and 25Hz respectively, the corresponding loss is 850 watts. Calculate the eddy current loss at normal voltage and frequency. I Q4) a) Explain the 3 - φ transformer winding connection in detail. b) Discuss different methods of cooling employed for transformers. N-3130 P.T.O.
(DEE226) Q5) a) Explain briefly the parallel operation of transformer. b) Two transformers have the following characteristics. No. 1 - % IR = 1.0% and % IX = 5.0% No. 2 - % IR = 1.5% and % IX = 4.0%. How they will share a load of 100 KVA at 0.8pf lagging. II Q6) a) Explain the principle of operation of 3 - φ induction motor. b) Discuss the nature of torque - slip characteristic of a 3 - φ induction motor. Q7) A 20 HP, 400V, 50Hz, 3 - phase star - connected induction motor has the following test data : No load test : 400V 9A cosφ = 0.2 Blocked rotor test : 200V 50A cosφ = 0.4 Draw a circle diagram and determine : a) Line current. b) Power factor. c) Slip. d) Efficiency at full load. The stator and rotor copper losses are divided equally in blocked rotor test. Q8) Explain in detail the different starting methods used for 3 - φ induction motors. Q9) a) Explain the double field revolving theory of 1 - φ induction motor. b) Write a note on the applications of 1 - φ induction motor. llll N-3130 2