If , then the value of  is        

Given. If C is a counter clockwise path in the z-plane such that, the value of  is

The Fourier transform of a signal h(t) is . The value of h(0) is

With initial condition x(1) = 0.5, the solution of the differential equation  is

Consider the differential equation

 with

 and

The numerical value of  is

Two independent random variables X and Y are uniformly distributed in the interval [-1, 1]. The probability that max [X, Y] is less than ½ is

The figure shows a two-generator system supplying a load of, connected at bus 2.         

The fuel cost of generators  and  are:

and and he loss in the line is, where the loss coefficient is specified in p.u on a 100MVA base. The most economic power generation schedule in MW is

A fair coin is tossed till a head appears for the first time. The probability that the number of required tosses is odd, is

The transfer function of a compensator is given as

 is a lead compensator if

The transfer function of a compensator is given as

The phase of the above lead compensator is maximum at

If , then the region of convergence (ROC) of its Z-transform in the Z-plane will be

The unilateral Laplace transform of f(t) is . The unilateral Laplace transform of t f(t) is

The bridge method commonly used for finding mutual inductance is

Let y[n] denote the convolution of h[n] and g[n], where  and g[n] is a casual sequence. If  and , then g[1] equals

The input x(t) and output y(t) of a system are related as. The system is

In the sum of products function, the prime implicant’s are

The impedance looking into nodes 1 and 2 in the given circuit is

The output Y of a 2-bit comparator is logic 1 whenever the 2-bit input A is greater than the 2-bit input B. The number of combinations for which the output is logic 1, is

With 10V dc connected at port A in the linear nonreciprocal two-port network shown below, the following were observed:

(i)  connected at port B draws a current of 3A

(ii)  connected at port B draws a current of 2A

For the same network, with 6V dc connected at port A,  connected at port B draws 7/3A. If 8V dc connected to port A, the open circuit voltage at port B is

Consider the given circuit,

In this circuit, the race around

The maximum value of  in the interval [1, 6] is

The bus admittance matrix of a three-bus three-line system is

If each transmission line between the two buses is represented by an equivalent -network, the magnitude of the shunt susceptance of the line connecting bus 1 and 2 is

With 10V dc connected at port A in the linear nonreciprocal two-port network shown below, the following were observed:

(i)  connected at port B draws a current of 3A

(ii)  connected at port B draws a current of 2A

With 10V dc connected at port A, the current drawn by  connected at port B is

The state transition diagram for the logic circuit shown is

In the 3-phase inverter circuit shown, the load is balanced and the gating scheme is conduction mode. All the switching devices are ideal.

The RMS value of load phase voltage is

The feedback system shown below oscillates at 2rad/s when                  

The i-v characteristics of the diode in the circuit given below are

The current in the circuit is

In the 3-phase inverter circuit shown, the load is balanced and the gating scheme is conduction mode. All the switching devices are ideal.

If the dc bus voltage, the power consumed by 3-phase load is

A cylindrical rotor generator delivers 0.5pu power in the steady state to an infinite bus through a transmission line of reactance 0.5pu. The generator no-load voltage is 1.5pu and the infinite bus voltage is 1pu. The inertia constant of the generator is 5 MW-s/MVA and the generator reactance is 1pu. The critical clearing angle, in degrees, for a three-phase dead short circuit fault at the generator terminal is

In the circuit shown, an ideal switch S is operated at 100kHz with a duty ratio of 50%. Given that  is 1.6A peak-to-peak and  is 5 A dc, the peak current in S is

The state variable description of an LTI system is given by  

Where y is the output and u is the input. The system is controllable for

The voltage gain  of the circuit shown below is

The direction of vector A is radially outward from the oigin, with  where  and k is a constant. The value of n for which  is

In the following figure,  and  are ideal capacitors.  has been charged to 12V before the ideal switch S is closed at t = 0. The current i(t) for all t is

A system with transfer function

is excited by .  The steady state output of the system is zero at

If , then  is

Given that

 and , the value of  is

The typical ratio of latching current to holding current in a 20A thyristor is

The sequence components of the fault current are as follows: . The type of fault in the system is

In the circuit shown below, the current through the inductor is         

The average power delivered to an impedance (4–j3) by a current  is

Assuming both the voltage sources are in phase, the value of R for which maximum power is transferred from circuit A to circuit B is

A half-controlled single-phase bridge rectifier is supplying an R-L load. It is operated at a firing angle  and the load current is continuous. The fraction of cycle that the freewheeling diode conducts is

In the circuit shown, the three voltmeter readings are .

The power factor of the load is

In the circuit shown, the three voltmeter readings are .

If , the approximate power consumption in the load is         

The circuit shown is a         

A periodic voltage waveform observed on an oscilloscope across a load is shown. A permanent magnet moving coil (PMMC) meter connected across the same load reads

For the circuit shown in the figure, the voltage and current expression are  and

The average power measured by the wattmeter is

A 220V, 15kW, 1000rpm shunt motor with armature resistance of , has a rated line current of 68A and a rated field of 2.2A. The change in field flux required to obtain a speed of 1600 rpm while drawing a line current of 52.8 A and a field current of 1.8A is a

An analog voltmeter uses external multiplier settings. With a multiplier setting of, it reads 440V and with a multiplier setting of, it reads 352V. For a multiplier setting of, the voltmeter reads

A single phase 10kVA, 50Hz transformer with 1kV primary winding draws 0.5A and 55W, at rated voltage and frequency, on no load. A second transformer has a core with all its linear dimensions  times the corresponding dimensions of the first transformer. The core material and lamination thickness are the same in both transformers. The primary windings of both the transformers have the same number of turns. If a rated voltage of 2kV at 50Hz is applied to the primary of the second transformer, then the no load current and power, respectively, are

The slip of an induction motor normally does not depend on

A two-phase load draws the following phase currents: , . These currents are balanced if  is equal to

The locked rotor current in a 3-phase, star connected 15kW, 4-pole, 230V, 50Hz induction motor at rated conditions is 50A. Neglecting losses and magnetizing current, the approximate blocked rotor line current drawn when the motor is connected to a 236V, 57Hz supply is

For the system shown below,  and  are complex power demands at bus 1 and bus 2 respectively. If , the VAR rating of the capacitor  connected at bus 2 is