A  digit DMM has the error specification as: 0.2% of reading + 10 counts. If a dc voltage of 100V is read on its 200V full scale, the maximum error that can be expected in the reading is

A point z has been plotted in the complex plane, as shown in figure below.

The plot of the complex number  is

With K as a constant, the possible solution for the first order differential equation is

A load center of 120MW derives power from two power stations connected by 220kV transmission lines of 25km and 75km as shown in the figure below. The three generators ,  and are of 100MW capacity each and have identical fuel cost characteristics. The minimum loss generation schedule for supplying the 120MW load is

Solution of the variables  and  for the following equations is to be obtained by employing the Newton-Raphson iterative method.        

Equation (i)         

Equation (ii)        

Assuming the initial values  and , the Jacobian matrix is

Given two continuous time signals  and  which exist for t > 0, the convolution  is

The bridge circuit shown in the figure below is used for the measurement of an unknown element. The bridge circuit is best suited when  is a

Let the Laplace transform of a function f(t) which exists for t > 0 be  and the Laplace transform of its delayed version  be  . Let  be the complex conjugate of  with the Laplace variable set as .If  , then the inverse Laplace transform of G(s) is        

The output Y of the logic circuit given below is

The open loop transfer function G(s) of a unity feedback control system is given as,1

From the root locus, it can be inferred that when k tends to positive infinity,         

A lossy capacitor , rated for operation at 5kV, 50Hz is represented by an equivalent circuit with an ideal capacitor  in parallel with a resistor . The value of   is found to be 0.102µF and the value of .Then the power loss and  of the lossy capacitor operating at the rated voltage, respectively, are         

The Fourier series expansion of the periodic signal shown below will contain the following nonzero terms                

A zero mean random signal is uniformly distributed between limits –a and +a and its mean square value is equal to its variance. Then the RMS value of the signal is

The response h(t) of a linear time invariant system to an impulse , under initially relaxed condition is . The response of this system for a unit step input u(t) is

Roots of the algebraic equation  are

In the circuit given below, the value of R required for the transfer of maximum power to the load having a resistance of  is

A dual trace oscilloscope is set to operate in the alternate mode. The control input of the multiplexer used in the y-circuit is fed with a signal having a frequency equal to

The function  has

A two-loop position control system is shown below.

The gain k of the Tacho-generator influences mainly the

two-bit counter circuit is shown below.

If the state  of the counter at the clock time  is “10” then the state  of the counter at  (after three clock cycles) will be

A three-bus network is shown in the figure below indicating the p.u. impedance of each element.  

The Bus admittance matrix, Y-bus, of the network is

The two vectors [1, 1, 1] and , where , are

A three-phase current source inverter used for the speed control of an induction motor is to be realized using MOSFET switches as shown below, Switches  to are identical switches.

The proper configuration for realizing switches  to  is

An open loop system represented by the transfer function  is

A clipper circuit shown below

Assuming forward voltage drops of the diodes to be 0.7V, the input-output transfer characteristics of the circuit is  

A voltage commutated chopper circuit, operated at 500Hz, is shown below

If the maximum value of load current is 10A, then the maximum current through the main (M) and auxiliary (A) thyristor will be

A portion of the main program to call a subroutine SUB in an 8085 environment is given below.

                :

                :

              LXI        D, DISP
        LP. CALL        SUB
                :

                :

It is desired that control be returned to LP + DISP + 3 when the RET instruction is executed in thee subroutine. The set of instructions that precede the RET instruction in the subroutine are

A capacitor is made with a polymeric dielectric having an of 2.26 and a dielectric breakdown strength of 50kV/cm. The permittivity of free space is 8.85pF/m. If the rectangular plates of the capacitor have a width of 20cm and a length of 40cm, then the maximum electric charge in the capacitor is

The transistor used in the circuit shown below has a of 30 and  is negligible.

If the forward voltage drop of diode is 0.7V, then the current through collector will be

The frequency response of a linear system  is provided in the tabular form below

The gain margin and phase margin of the system are

The matrix  is decomposed into a product of a lower triangular matrix [L] and an upper triangular matrix [U]. The properly decomposed [L] and [U] matrices respectively are

A negative sequence relay is commonly used to protect

Circuit turn-off time of an SCR is defined as the time

The steady state error of a unity feedback linear system for a unit step input is 0.1. The steady state error of the same system, for a pulse input r(t) having a magnitude of 10 and a duration of one second, as shown in the figure is         

Two generator units G1 and G2 are connected by 15kV line with a bus at the mid-point as shown below.

G1 = 250MVA, 15kV, positive sequence reactance X = 25% on its own base G2 = 100MVA, 15kV,  positive sequence reactance X for the line = 0.225

For the above system, the positive sequence diagram with the p.u. values of the 100MVA common base is

Two generator units G1 and G2 are connected by 15kV line with a bus at the mid-point as shown below.

G1 = 250MVA, 15kV, positive sequence reactance X = 25% on its own base G2 = 100MVA, 15kV,  positive sequence reactance X for the line = 0.225

In the above system, the three-phase fault MVA at the bus 3 is

The RMS value of the current i(t) in the circuit shown below is

The voltage applied to a circuit is   volts and the circuit draws a current of  amperes. Taking the voltage as the reference phasor, the phasor representation of the current in amperes is

The input voltage given to a converter is

The current drawn by the converter is

The input power factor of the converter is

An RLC circuit with relevant data is given below.

The power dissipated in the resistor R is

The input voltage given to a converter is

The current drawn by the converter is

The active power drawn by the converter is

An RLC circuit with relevant data is given below.

The current in the figure above is

A solar energy installation utilizes a three-phase bidge converter to feed energy into power system through a transformer of 400V/400V, as shown below.

The energy is collected in a bank of 400V batteries and is connected to converter through a large filter choke of resistance.

The maximum current through the battery will be

A solar energy installation utilizes a three-phase bidge converter to feed energy into power system through a transformer of 400V/400V, as shown below.

The energy is collected in a bank of 400V batteries and is connected to converter through a large filter choke of resistance.

The kVA rating of the input transformer is

A low-pass filter with a cut-off frequency of 30Hz is cascaded with a high-pass filter with a cut-off frequency of 20Hz. The resultant system of filters will function as

A 4-point starter is used to start and control the speed of a

Consider the following statements:

(i) The compensating coil of a low power factor wattmeter compensates the effect of the impedance of the current coil.

(ii) The compensating coil of a low power factor wattmeter compensates the effect of the impedance of the voltage coil circuit.

For the circuit shown below,        

The correct transfer characteristics is

A 220V, DC shunt motor is operating at a speed of 1440 rpm. The armature resistance is  and armature current is 10A. If the excitation of the machine is reduced by 10%, the extra resistance to be put in the armature circuit to maintain the same speed and torque will be

A three-phase, salient pole synchronous motor is connected to an infinite bus. It is operated at no load at normal excitation. The field excitation of the motor is first reduced to zero and then increased in the reverse direction gradually. Then the armature current

The direct axis and quadrature axis reactance of a salient pole alternator are 1.2p.u. and 1.0 p.u. respectively.  The armature resistance is negligible. If this alternator is delivering rated kVA at upf and at rated voltage then its power angle is

A single-phase air core transformer, fed from a rated sinusoidal supply, is operating at no load. The steady state magnetizing current drawn by the transformer from the supply will have the waveform

A three-phase 440V, 6pole, 50Hz, squirrel cage induction motor is running at a slip of 5%. The speed of stator magnetic field with respect to rotor magnetic field and speed of rotor with respect to state magnetic field are

A nuclear power station of 500MW capacity is located at 300km away from a load center. Select the most suitable power evacuation transmission configuration among the following options

For enhancing the power transmission in a long EHV transmission line, the most preferred method is to connect a