GATE EE 2010 PYQ

Given that the op-amp is ideal, the output voltage is

The transistor circuit shown uses a silicon transistor with and a dc current gain of 100. The value of is

Assuming that the diodes in the given circuit are ideal, the voltage

The characteristic equation of a closed-loop system is s(s+1)(s+3)k(s+2)=0, . Which of the following statements is true ?

For the system 2/(s+1), the approximate time taken for a step response to reach 98% of the final value is

As shown in the figure, a negative feedback system has an amplifier of gain 100 with 10% tolerance in the forward path, and an attenuator of value 9/100 in the feedback path. The overall system gain i

The frequency response of plotted in the complex plane (for ) is

The system with is

The following Karnaugh map represents a function F. Which of the following circuits is a realization of the above function

The following Karnaugh map represents a function F. A minimized form of the function F is

The TTL circuit shown in the figure is fed with the waveform X (also shown). All gates have equal propagation delay of 10 ns. The output Y of the circuit is

When a "CALL Addr" instruction is executed, the CPU carries out the following sequential operations internally : Note: (R) means content of register R ((R)) means content of memory location pointed to

The L-C circuit shown in the figure has an inductance L=1mH and a capacitance C= F. The initial current through the inductor is zero, while the initial capacitor voltage is 100 V. The switch is closed

The switch in the circuit has been closed for a long time. It is opened at t = 0. At t = , the current through the 1 F capacitor is

The two-port network P shown in the figure has ports 1 and 2, denoted by terminals (a,b) and (c,d) respectively. It has an impedance matrix Z with parameters denoted by . A 1 resistor is connected in

A wattmeter is connected as shown in figure. The wattmeter reads.

An ammeter has a current range of 0-5 A, and its internal resistance is 0.2 . In order to change the range to 0-25 A, we need to add a resistance of

The Maxwell's bridge shown in the figure is at balance. The parameters of the inductive coil are.

A separately excited dc machine is coupled to a 50 Hz, three-phase, 4-pole induction machine as shown in figure. The dc machine is energized first and the machines rotate at 1600 rpm. Subsequently the

A Single-phase transformer has a turns ratio 1:2, and is connected to a purely resistive load as shown in the figure. The magnetizing current drawn is 1 A, and the secondary current is 1 A. If core lo

A balanced star-connected and purely resistive load is connected at the secondary of a star-delta transformer as shown in figure. The line-to line voltage rating of the transformer is 110 V/200 V. Neg

A separately excited DC motor runs at 1500 rpm under no-load with 200 V applied to the armature. The field voltage is maintained at its rated value. The speed of the motor, when it delivers a torque o

A balanced three-phase voltage is applied to a star-connected induction motor, the phase to neutral voltage being V. The stator resistance, rotor resistance referred to the stator, stator leakage reac

The power electronic converter shown in the figure has a single-pole double-throw switch. The pole P of the switch is connected alternately to throws A and B. The converter shown is a

The fully controlled thyristor converter in the figure is fed from a single-phase source. When the firing angle is 0 , the dc output voltage of the converter is 300 V. What will be the output voltage

The L-C circuit shown in the figure has an inductance L=1mH and a capacitance C= F. The L-C circuit shown above is used to commutate a thyristor, which is initially carrying a current of 5A as shown i

Figure shows a composite switch consisting of a power transistor (BJT) in series with a diode. Assuming that the transistor switch and the diode are ideal, the I-V characteristic of the composite swit

Consider a stator winding of an alternator with an internal high-resistance ground fault. The currents under the fault condition are as shown in the figure The winding is protected using a differentia

Consider a three-core, three-phase, 50 Hz, 11 kV cable whose conductors are denoted as R,Y and B in the figure. The inter-phase capacitance(C1) between each pair of conductors is 0.2 F and the capacit

A 50 Hz synchronous generator is initially connected to a long lossless transmission line which is open circuited at the receiving end. With the field voltage held constant, the generator is disconnec

Consider a three-phase, 50 Hz, 11 kV distribution system. Each of the conductors is suspended by an insulator string having two identical porcelain insulators. The self capacitance of the insulator is

Consider two buses connected by an impedence of . The bus 1 voltage is 100 V, and bus 2 voltage is 100 V. The real and reactive power supplied by bus 1 respectively are

A three-phase, 33 kV oil circuit breaker is rated 1200 A, 2000 MVA, 3s. The symmetrical breaking current is

Consider a step voltage of magnitude 1 pu travelling along a lossless transmission line that terminates in a reactor. The voltage magnitude across the reactor at the instant travelling wave reaches th

For the power system shown in the figure below, the specifications of the components are the following : G1: 25 kV, 100 MVA, X = 9% G2: 25 kV, 100 MVA, X = 9% T1: 25 kV/220 kV, 90 MVA, X = 12% T2: 220

Power is transferred from system A to system B by an HVDC link as shown in the figure. If the voltage are as indicated in figure, and , then

The zero-sequence circuit of the three phase transformer shown in the figure

Given the finite length input x[n] and the corresponding finite length output y[n] of an LTI system as shown below, the impulse response h[n] of the system is

Given f(t) and g(t)as shown below: The Laplace transform of g(t) is

Given f(t) and g(t)as shown below: g(t) can be expressed as

The system represented by the input-output relationship

The second harmonic component of the periodic waveform given in the figure has an amplitude of

x(t) is a positive rectangular pulse from t=-1 to t=+1 with unit height as shown in the figure. The value of {where is the Fourier transform of x(t)} is.