Q8. Find the length of manganese wire required to make a 15.7 Ω resistor, if the diameter is 0.315 mm and the resistivity is 407 μΩ mm (16)
Q6. a) Describe a simple single-phase transformer. (6)
b) A 15 KVA, 440 / 110- volt, 50 Hz cycle/sec, single-phase transformer has primary and secondary resistance of 0.12 ohm and 0.0077 ohm respectively. The iron loss of the transformer is 0.16 kW. Calculate the efficiency of the transformer (10)
i) On full load unity power factor
ii) on 80 per cent full load at a power factor of 0.9 lagging
Q9. (a) Explain why the TPC for a given draught will vary with the density of the water in which the ship floats. (6)
(b) A box shaped ship with 12m beam is floating upright at a draft of 6.7 m. Find the increase in draft if the vessel is now listed 18 degrees. (10)
Q9. (a) List the causes for impairment of stability of a vessel. (6)
(b) A box-shaped vessel floats upright on an even keel as shown in fresh water of density 1000 kg per cubic meter, and the center of buoyancy is 0.50 m above the keel. Find the height of the center of buoyancy above the keel when the vessel is floating in salt water of density 1025 kg per cubic meter. (10)
Q5. (a) On what factors does the capacitance of a parallel-plate capacitor depend? (6)
(b) A tuned circuit consisting of a coil having an inductance of 200µH and a resistance of 20Ω in parallel with a variable capacitor is connected in series with a resistor of 8000Ω across a 60 V supply having a frequency of 1 MHz. Calculate: (10)
(a) The value of C to give resonance.
(b) The dynamic impedance and the Q factor of the tuned circuit.
(c) The current in each branch
Q6. a) Which of the following three motors has the poorest speed regulation: shunt motor, series Motor or cumulative compound motor? Explain. (6) b) An 18.65 KW,4-pole,50HZ, 3 phase induction motor has friction and windage losses of 2.5 percent of the output. The full load slip is 4% compute for full load (i) the rotor Cu loss (ii) the rotor input (iii) the shaft torque (iv) the gross electromagnetic torque. (10)
Q5. A) Explain how the efficiency and regulation of a transformer can be assessed by open circuit and short circuit tests? (6) b) A tuned circuit consisting of a coil having an inductance of 200 mH and a resistance of 20 Ω in parallel with a variable capacitor is connected in series with a resistor of 8000 Ω across a 60V supply having a frequency of 1 MHz Calculate: a) The value of C to give resonance. b) The dynamic impedance and the Q factor of the tuned circuit. c) The current in each branch. (10)
Q6. A total load of 8000 kW at 0.8 power factor is supplied by two alternators in parallel. One alternator supplies 6000kW at 0.9 power factor. Find the kVA rating of the other alternator and the power factor. (16)
Q7. a) D.C. motors are used where very high torque and/or precise speed control is required. How does the control of magnetic field flux and armature current relate to the starting characteristics of a D.C. motor in such applications? (6)
b) A 220 V, D.C. shunt motor has an armature resistance of 0.5 ohm and an armature current of 40 A on full load. Determine the reduction in flux necessary for a 50 per cent reduction in speed. The torque for both conditions can be assumed to remain constant. (10)
Q8. A. Sketch an arrangement showing the principal of proportional plus integral (P+I) control loop.
B. Compare the series and parallel resonance circuits. Find the frequency at which the following circuit resonates.
Q7. A. Which of the following three motors has the poorest speed regulation: shunt motor, series Motor or cumulative compound motor? Explain.
B. A 440V shunt motor takes an armature current of 30A at 700 rev/min. The armature resistance is 0.7ohm. If the flux is suddenly reduced by 20 per cent, to what value will the armature current rise momentarily? Assuming unchanged resisting torque to motion, what will be the new steady values of speed and armature current? Sketch graphs showing armature current and speed as functions of time during the transition from initial to final, steady-state conditions.
Q6. A. Describe the effect of the following loads on power factor: -
(i) Induction motors; (ii) Transformers; (iii) Partly loaded motors; (iv) Cage type motors.
B. In a 50-Kav, star-connected, 440-V, 3-phase, 50-Hz alternator, the effective armature resistance is 0.25 ohm per phase. The synchronous reactance is 3.2 ohm per phase and leakage reactance is 0.5 ohm phase. Determine at rated load and unity power factor:
(a) Internal e.m.f Ea (b) no-load e.m.f E0 (c) percentage regulation on full-load (d) value of synchronous reactance which replaces armature reaction.
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