* 1 [ Contd... BOARD DIPLOMA EXAMINATION, (C 14) OCT/NOV 2015 DEEE THIRD SEMESTER EXAMINATION ENGINEERING MATHEMATICS II
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1 C14 EE 301/C14 CHPP 301/C14 PET 301 BOARD DIPLOMA EXAMINATION, (C 14) OCT/NOV 2015 DEEE THIRD SEMESTER EXAMINATION ENGINEERING MATHEMATICS II Time : 3 hours ] [ Total Marks : 80 Instructions : (1) Answer all questions. 1. Evaluate : 2. Evaluate : 3. Evaluate : 4. Evaluate : PART A 3 10=30 (2) Each question carries three marks. (3) Answers should be brief and straight to the point and shall not exceed five simple sentences. (3x 3 4x 2 5x 7)dx 1 dx 16x m tan 1 x e 1 x 2 x2 e 2x dx 0 dx 1 [ Contd...
2 5. Find the mean value of f (x) 1 in (0, 1). 2 1 x 6. Form the differential equation for y A cos3x B sin 3x, where A and B are arbitrary constants. 7. Solve : dy dx 1 y 2 1 x 2 8. Solve : (x 2 2xy)dx (sin y x 2 )dy 0 9. List the measures of dispersion and find the range of the following data : 60, 50, 85, 90, 70, 40, 110, 130, 120, What is correlation coefficient? Write the formula of Karl Pearson correlation coefficient for two variables X and Y and mention two of its properties. Instructions : (1) Answer any five questions. PART B 10 5=50 (2) Each question carries ten marks. (3) Answers should be comprehensive and the criterion for valuation is the content but not the length of the answer. 11. (a) Evaluate : cos4x cos2x dx (b) Evaluate : dx 3x 2 2x 5 2 [ Contd...
3 12. (a) E valuate : sin3 cos 10 d (b) Evaluate : 13. (a) Evaluate : x tan 1 x dx dx cos x (b) Evaluate : /2 0 sin n x dx cos n x sin n x 14. (a) Evaluate : 1 3 x log dx 3 x 1 (b) Find the area bounded by the curve y x 2 8x 15 and X-axis. 15. (a) Find the volume of the paraboloid generated by revolving the parabola y 2 4ax about X-axis from x 0 to x h. 1 dx (b) Obtain the value of using the Simpson s 1/3rd rule 0 1 x2 by dividing the interval (0, 1) into four equal parts. 16. Solve : x 2 y dx (x 2 y 3 )dy (a) Solve : dy 3x 2 y x 2 dx (b) Solve : dy dx xy xy 3 3 [ Contd...
4 18. (a) T he goals scored by two teams A and B in a football season are as follows : Number of goals scored in match Number of matches Team A Team B Find the team which is more consistent from the above data. (b) Two judges in a beauty competition rank the 12 entries as follows : x y Find the degree of agreement between the two judges. $ $ $ 4
5 C14 EE 302 BOARD DIPLOMA EXAMINATION, (C 14) OCT/NOV 2015 DEEE THIRD SEMESTER EXAMINATION DC MACHINES Time : 3 hours ] [ Total Marks : 80 Instructions : (1) Answer all questions. PART A 3 10=30 (2) Each question carries three marks. (3) Answer should be brief and straight to the point and shall not exceed five simple sentences. 1. Explain the working principle of DC generator. 2. State the Fleming s right hand rule. 3. Classify DC generators based on excitation. 4. State the methods to improve commutation. 5. Define critical resistance and critical speed. 1½+1½ 6. State the working principle of DC motor. 7. Derive the torque equation of a DC motor. 8. What is the necessity of starter for DC motor? 1 [ Contd...
6 9. List t he methods of speed control of DC motors. 10. List the various methods of motor testing. Instructions : (1) Answer any five questions. PART B 10 5=50 (2) Each question carries ten marks. (3) Answers should be comprehensive and the criterion for valuation is the content but not the length of the answer. 11. (a) Derive the EMF equation of a DC generator. 5 (b) A shunt generator delivers 450A at 230V and the resistance of the shunt field and armature of 50 and 0 03 respectively. Calculate the generated EMF. Neglect brush drop (a) Derive the condition for maximum efficiency of a DC generator. 4 (b) A 10kW, 250V DC shunt generator has total rotational losses of 600W. Its armature and shunt field resistance are 0 5 and 125 respectively. Calculate the efficiency at rated load Derive the equation for demagnetizing (AT d ) and crossmagnetizing (AT c ) ampere turns per pole (a) State the conditions for parallel operations of DC generators. 5 (b) Explain OCC, internal and external characteristics of DC shunt generator (a) Explain the significance of back EMF and write its formula. 5 (b) Explain the power stages in a DC motor. 5 2 [ Contd...
7 16. (a) D raw the electrical and mechanical characteristics of DC series motor. 6 (b) List the applications of DC motor Explain the working of 3 point starter with neat sketch Draw the circuit diagram to perform a brake test on DC shunt motor and explain. 10 $ $ $ 3
8 C14 EE 303 BOARD DIPLOMA EXAMINATION, (C 14) OCT/NOV 2015 DEEE THIRD SEMESTER EXAMINATION ELECTRICAL CIRCUITS Time : 3 hours ] [ Total Marks : 80 Instructions : (1) Answer all questions. PART A 3 10=30 (2) Each question carries three marks. (3) Answer should be brief and straight to the point and shall not exceed five simple sentences. 1. Define active and passive circuits. 1½+1½=3 2. State Kirchhoff s laws. 1½+1½=3 3. Define the following terms : 1+1+1=3 (a) Cycle (b) Time period (c) Amplitude 4. Define phase and phase difference of an alternating quantity. 1½+1½=3 5. Convert the following rectangular to polar or polar to rectangular : 1½+1½=3 (a) 3 j 6 (b) [ Contd...
9 6. Deriv e the relation between voltage and current in a pure inductive circuit When a voltage of (100+ j 60) V is applied to a circuit, a current of (3+ j 6) A is flowing. Find the average power consumed in the circuit Compare series and parallel resonant circuits in any three aspects What are the basic features of a balanced 3 system? List out any three advantages of poly-phase system over singlephase system. 3 Instructions : (1) Answer any five questions. PART B 20 2=40 (2) Each question carries ten marks. (3) Answers should be comprehensive and the criterion for valuation is the content but not the length of the answer. 11. (a) Derive an equation for transformation of star-connected resistances into delta-connected resistances. 5 (b) A network of resistors is shown in Fig. 1. Find the resistance between the terminals A and B by using star/delta transformation. 5 Fig. 1 2 [ Contd...
10 12. Find the current through 4 resistor of the circuit shown in Fig. 2 by using Kirchhoff s laws. Also find the total current supplied by the voltage source. 8+2 Fig (a) Convert the given current source (Fig. 3) into voltage source. 3 Fig. 3 (b) Find the current through 12 ohm resistor for the circuit shown in Fig. 4 by using superposition theorem. 8 Fig (a) Derive the formula for average value of sinusoidal current wave by using analytical method. 4 (b) A sinusoidal current wave is given by i 100 sin100 t. Determine (i) the average value (ii) RMS value (iii) form factor (iv) peak factor [ Contd...
11 15. (a) D erive the relation between voltage and current in a pure capacitive circuit. 4 (b) A coil takes a current of 5 A from a 20 V d.c. supply. When connected to a 200 V, 50 Hz a.c. supply, the current is 25 A. Calculate (i) resistance (ii) inductance (iii) impedance of the coil, and power factor of the circuit. Also draw the relevant phasor diagram (a) Define resonant frequency and derive the formula for resonant frequency of an RLC series. 4 (b) Find total impedance, line current, voltage across each and power factor for a series circuit, consisting of a coil of inductance 0 1 H, resistance 8 and a capacitance of 120 F connected to a 250 V, 50 Hz supply (a) An inductive coil of resistance 20 ohms and inductance 0 01 H is connected to a 200 V, 50 Hz supply. What capacitance placed in parallel will produce resonance? Also find the total current taken from the supply. 4 (b) A coil of resistance 50 and inductance 318 mh is connected in parallel with a circuit consisting of a 75 resistor in series with a 159 F capacitor. The circuit is connected to a 230 V, 50 Hz supply. Determine the supply current and power factor of the circuit (a) Define polyphase circuit. Draw graphically 3-phase waveforms and write their e.m.f. equations induced in three phases. 5 (b) Three similar coils each having an impedance of (8 j 6) ohm are connected in star to a 3-ph 400 V supply. Find the line current, power and power factor. If two wattmeters are used to measure power, calculate the reading of two wattmeters. 5 $ $ $ / 4
12 C14 EE 305 BOARD DIPLOMA EXAMINATION, (C 14) OCT/NOV 2015 DEEE THIRD SEMESTER EXAMINATION ELECTRONICS I Time : 3 hours ] [ Total Marks : 80 Instructions : (1) Answer all questions. PART A 3 10=30 (2) Each question carries three marks. (3) Answer should be brief and straight to the point and shall not exceed five simple sentences. 1. Define (a) Capacitance (b) Inductance (c) Resistance. 2. List the losses in inductor. 3. Distinguish between intrinsic and extrinsic semiconductors. 4. Draw the circuit of full wave rectifier. 5. Compare centre tapped and bridge type full wave rectifier. 6. Draw the symbols of LED, UJT, SCR. 7. List the application of solar cell. 8. What is the necessity of transistor biasing? 1 [ Contd...
13 9. What is meant by faithful amplification? 10. List the applications of RC coupled amplifier. Instructions : (1) Answer any five questions. PART B 10 5=50 (2) Each question carries ten marks. (3) Answers should be comprehensive and the criterion for valuation is the content but not the length of the answer. 11. (a) What are the factors affecting the value of capacitance? 5 (b) Explain the specifications of resistors Explain the working of PN diode in (a) Forward bias and (b) Reverse bias (a) State the need of a filter. 4 (b) Explain the working of Zener diode as a voltage regulator (a) Give four differences between LED and LCD. 4 (b) Explain the working of photo-diode (a) List four applications of photo-transistor. 4 (b) Explain the working of photo cell. 6 2 [ Contd...
14 16. Expla in potential divider bias method. 17. (a) Classify amplifier based on period of conduction, frequency and function. 6 (b) Compare different types of coupled amplifier Explain working of transformer coupled amplifier and draw its frequency response. 10 $ $ $ 3
15 C14 EE 306 BOARD DIPLOMA EXAMINATION, (C 14) OCT/NOV 2015 DEEE THIRD SEMESTER EXAMINATION GENERAL MECHANICAL ENGINEERING Time : 3 hours ] [ Total Marks : 80 Instructions : (1) Answer all questions. PART A 3 10=30 (2) Each question carries three marks. (3) Answers should be brief and straight to the point and shall not exceed five simple sentences. 1. Define the terms linear strain and lateral strain. 2. A steel rod of 20 mm diameter and 600 mm long is subjected to an axial pull of 40 kn. Determine the elongation of the rod if E N / mm Write the formula for polar moment of inertia for solid shaft and hollow shaft. 4. (a) Define torsion. (b) Which stress is induced in shaft, when it is subjected to the twisting moment? 5. Define the terms clearance volume and swept volume. 1 [ Contd...
16 6. List o ut any six major components of IC engine. 7. Write the classification of boilers. 8. State the need of (a) pressure gauge and (b) stop value. 9. How are the impellers arranged to produce high head and to deliver high discharge in centrifugal pump? 10. Write the advantages and disadvantages of anti-friction bearings. Instructions : (1) Answer any five questions. PART B 10 5=50 (2) Each question carries ten marks. (3) Answer should be comprehensive and the criterion for valuation is the content but not the length of the answer. 11. A steel bar 350 mm long is 20 mm in diameter for 200 mm of length and 15 mm diameter for the remainder. If a tensile load of 20 kn is applied on the bar, calculate the stresses in each section and the total elongation of the bar. 12. For a given material, Young s modulus (E) and rigidity modulus (G) are N / m 2 and N / m 2 respectively. Find the bulk modulus and lateral contraction of a round bar of 36 mm diameter and 2 5 m long, when it is stretched by 2 5 mm. 13. Select a suitable diameter of a solid shaft to transmit 110 kw power at 240 r.p.m., if the allowable stress is not to exceed 70 N / mm 2 and twist not to exceed 1º in a length of 3 m. 14. Explain with the help of line sketches the working principle of 4- stroke petrol engine. 15. Distinguish between diesel engine and petrol engine. 2 [ Contd...
17 16. Desc ribe the working of a La Mont boiler with a neat sketch. 17. Distinguish between impulse and reaction turbines. 18. (a) Write the any five applications of lubricants. (b) Explain about collar bearing with a neat sketch. $ $ $ / 3
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