Q9. a) Draw a metacentric diagram for a vessel of constant triangle cross-section (6)
b) A block of wood of uniform density has a constant cross-section in the form of a triangle, apex down. The width is 0.5 m and the depth 0.5 m. It floats at a draught of 0.45 m. Calculate the metacentric height (10)
Q7. a) What is the difference between a DC Generator and a DC motor? (6)
b) A 4-pole, 32 conductor, Lap-wound DC shunt generator with terminal voltage of 200 V delivering 12 A to the load has ra = 2 and field circuit resistance of 200 Ω. It is driven at 1000 RPM .
a) Calculate the flux per pole in the machine. (6)
b) If the machine has to be run as a motor with the same terminal voltage and drawing 5 A from mains, maintaining the same magnetic field, find the speed of the machine. (10)
Q6. A coil of resistance 10 ohm and inductance 0.1H is connected in series with a capacitor of capacitance 150pF, across a 200 V, 50 Hz supply.
Calculate:
a) the inductive reactance. (3)
b) the capacitive reactance. (3)
c) the circuit impedance. (2)
d) the circuit current. (2)
e) the circuit power factor. (2)
f) the voltage drop across the coil. (2)
g) the voltage drop across the capacitor. (2)
Q7. An amplifier has an open-circuit voltage gain of 1000, an input resistance of 2000 Ω and an output resistance of 1.0 Ω. Determine the input signal voltage required to produce an output signal current of 0.5A in a 4.0Ω resistor connected across the output terminals. If the amplifier is then used with negative series voltage feedback so that one tenth of the output signal is fed back to the input, determine the input signal voltage to supply the same output signal current. (16)
Q9.a) Explain the principles of A.C. Motors starting and speed control, including the effect on efficiency. (6)
b) A 3-phase induction motor has a 4-pole, Y-connected stator winding. The motor runs on 50-Hz supply with 200V between lines. The motor resistance and standstill reactance per phase are 0.1 Ω and 0.9 Ω respectively. Calculate (a) the total torque at 4% slip (b) the maximum torque (c) the speed at maximum torque if the ratio of the rotor to stator turns is 0.67. Neglect stator impedance. (10)
Q7. (a) Show by means of diagrams how the center of gravity of the liquid in a partly filled tank moves during rolling. (6)
(b) A box barge is 15 m long, 6 m wide and floats in water of 1.016 t/m3 at a draught of 3 m. 150 tonne of cargo is now added. Calculate the load exerted by the water on the sides, ends and bottom. (10)
Q5. a) What is back emf? Derive the relation for the back emf and the supplied voltage in terms of armature resistance (6)
b) The earth-lamps on a main switchboard comprise two 240 V 60 W lamps connected in the usual manner. The potential difference at the busbars is 220 V. Damage by sea water occurs to a distribution cable so that the insulation resistance to the earth is reduced to 16 ohms and 6 ohms for +ve and -ve cables respectively. Find by calculation:
a) Which of the two lamps burns the brighter:
b) The additional load on the generators occasioned by the fault. The resistance of the cables and the ship’s structure may be neglected, and that of the lamps taken as constant at the value corresponding to the 60 W rating. (10)
Q4. a) What are the characteristics of PN junction diode? Point out its specifications. Also point out the significance of dynamic and static resistances. (6)
b) Draw the circuit of half-wave rectifier and its output waveform. A diode whose internal resistance is 20 Ω is to supply power of 1000 Ω load from 110 V (RMS) source. Calculate
(a) Peak load current
(b) DC load current
(c) AC load current. (10)
Q4. A 4-pole, 500V shunt motor has 720 wave connected conductors on its armature. The full load armature current is 60A, and the flux per pole is 0.3Wb, armature resistance 0.2Ω. Calculate the full load speed of the motor to maintain rated terminal voltage at the full load. (16)
Q10. (A). Compare the effectiveness of a current limiting circuit breaker with that of a HRC fuse.
(B) An AC Voltage Of 24 V is connected in series with the silicon diode and load resistance 500 Ohm having forward resistance 1O Ohms. Calculate the peak output voltage.
Q 7. With reference to Synchronous Motors.
A. Draw and explain the principle of operation Synchronous Motors.
B. Find the synchronous impedance reactance of an alternator in which a given field current produces an armature current of 200 A on short circuit and a generated e.m.f. of 50V on open circuit. The armature resistance is 0.1 ohm. To what induced voltage must the alternator be excited if it is to deliver a load of 100A at a p.f of 0.8 lagging, with a terminal voltage of 200 V.
Q3. What would be value of Neutral Earthing Resister in a high voltage ship of three phase alternators to limit the earth fault current to the full load of rating of a 4 MW having 0.8 power factor generating 6600 volts?
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