(Question 1)

Equationex-1=0 is required to be solved using Newton's method with an initial guessx0=-1.Then, after one step of Newton's method, estimatex1of the solution will be given by

(Question 2)

A differential equationdxdt=e2tu(t)dxdt=e-2tut,has to be solved using trapezoidal rule of integration with a step size h=0.01s.Functionu(t) indicates a unit step function. Ifx(0-)=0,then value ofxatt=0.01 s will be given by?

(Question 3)

LetPbe a 2X2 real orthogonal matrix andxxis a real vector[x1,x2]x1,x2with lengthx=(x21+x22)12.x=(x12+x22)12.Then, which one of the following statements is correct ?

(Question 4)

Two perfectly matched silicon transistor are connected as shown in the figure. Assuming the of the transistors to be very high and the forward voltage drop in diodes to be 0.7 V, the value of current I is?

(Question 5)

In the voltage doubler circuit shown in the figure, the switch 'S ' is closed at t = 0. Assuming diodes D1and D2to be ideal, load resistance to be infinite and initial

capacitor voltages to be zero. The steady state voltage across capacitors C1and C2will be?

(Question 6)

The truth table of monoshot shown in the figure is given in the table below : Two monoshots, one positive edge triggered and other negative edge triggered, are connected as shown in the figure, The pulse widths of the two monoshot outputs Q1and Q2are TON1and TON2respectively. The frequency and the duty cycle of the signal at Q1will respectively be?

(Question 7)

A 230 V, 50 Hz, 4-pole, single-phase induction motor is rotating in the clockwise (forward) direction at a speed of 1425 rpm.If the rotor resistance at standstill is 7.8 , then the effective rotor resistance in the backward branch of the equivalent circuit will be?

(Question 8)

A 400 V, 50 Hz 30 hp, three-phase induction motor is drawing 50 A current at 0.8 power factor lagging. The stator and rotor copper losses are 1.5 kW and 900 W respectively. The friction and windage losses are 1050 W and the core losses are 1200 W. The air-gap power of the motor will be?

(Question 9)

Voltage phasors at the two terminals of a transmission line of length 70 km have a magnitude of 1.0 per unit but are 180 degree out of phase. Assuming that the maximum load current in the line is 1/5thof minimum 3-phase fault current. Which one of the following transmission line protection schemes will NOT pick up for this condition ?

(Question 10)

A lossless transmission line having Surge Impedance Loading (SIL) of 2280 MW is provided with a uniformly distributed series capacitive compensation of 30%. Then, SIL of the compensated transmission line will be?

(Question 11)

A lossless power system has to serve a load of 250 MW. There are two generators (G1 and G2) in the system with cost curves C1and C2respectively defined as follows;

C1(PG1)=PG1+0.055XP2G1C1PG1=PG1+0.055XPG12

C2(PG2)=3PG2+0.03XP2G2C2PG2=3PG2+0.03XPG22

Where PG1and PG2are the MW injections from generator G1 and G2respectively. Then, the minimum cost dispatch will be?

(Question 12)

A lossless single machine infinite bus power system is shown below : The synchronous generator transfers 1.0 per unit of power to the infinite bus. The critical clearing time of circuit breaker is 0.28 s. If another identical synchronous generator is connected in parallel to the existing generator and each generator is scheduled to supply 0.5 per unit of power, then the critical clearing time of the circuit breaker will?

(Question 13)

Single line diagram of a 4-bus single source distribution system is shown below. Branches e1,e2,e3and e4have equal impedances. The load current values indicated in the figure are in per unit. Distribution company's policy requires radial system operation with minimum loss. This can be achieved by opening of the branch?

(Question 14)

A single phase fully controlled bridge converter supplies a load drawing constant and ripple free load current, If the triggering angle is 30oc, the input power factor will be?r