GATE EE 2013 PYQ

In the circuit shown below what is the output voltage if a silicon transistor Q and an ideal op-amp are used?

In the circuit shown below, the knee current of the ideal Zener dioide is 10 mA. To maintain 5 V across , the minimum value of in and the minimum power rating of the Zener diode in mW, respectively, a

In the feedback network shown below, if the feedback factore k is increased, then the

A voltage 1000sin Volts is applied across YZ. Assuming ideal diodes, the voltage measured across WX in Volts, is

In the circuit shown below the op-amps are ideal. Then, in Volts is

The Bode plot of a transfer function G(s) is shown in the figure below. The gain (20 log|G(s)| is 32 dB and -8 dB at 1 rad/s and 10 rad/s respectively. The phase is negative for all . Then G(s) is

The signal flow graph for a system is given below. The transfer function for this system is

The transfer function of the circuit shown below is

The state variable formulation of a system is given as The response y(t) to the unit step input is

The open-loop transfer function of a dc motor is given as . When connected in feedback as shown below, the approximate value of that will reduce the time constant of the closed loop system by one hund

The clock frequency applied to the digital circuit shown in the figure below is 1 kHz. If the initial state of the output Q of the flip-flop is '0', then the frequency of the output waveform Q in kHz

In the circuit shown below, has negligible collector-to-emitter saturation voltage and the diode drops negligible voltage across it under forward bias. If is +5 V, X and Y are digital signals with 0 V

A bulb in a staircase has two switches, one switch being at the ground floor and the other one at the first floor. The bulb can be turned ON and also can be turned OFF by any one of the switches irres

In the circuit shown below, if the source voltage V then the Thevenin's equivalent voltage in Volts as seen by the load resistance is

The following arrangement consists of an ideal transformer and an attenuator which attenuates by a factor of 0.8. An ac voltage = 100 V is applied across WX to get an open circuit voltage across YZ. N

A source has an internal impedance of . If a purely resistive load connected to this source has to extract the maximum power out of the source, its value in should be

Two magnetically uncoupled inductive coils have Q factors at the chosen operating frequency. Their respective resistances are . When connected in series, their effective Q factor at the same operating

The input impedance of the permanent magnet moving coil (PMMC) voltmeter is infinite. Assuming that the diode shown in the figure below is ideal, the reading of the voltmeter in Volts is

Three moving iron type voltmeters are connected as shown below. Voltmeter readings are as indicated. The correct relation among the voltmeter readings is

A strain gauge forms one arm of the bridge shown in the figure below and has a nominal resistance without any load as . Other bridge resistances are . The maximum permissible current through the strai

The angle in the swing equation of a synchronous generator is the

Leakage flux in an induction motor is

A 4-pole induction motor, supplied by a slightly unbalanced three-phase 50 Hz source, is rotating at 1440 rpm. The electrical frequency in Hz of the induced negative sequence current in the rotor is

A single-phase transformer has no-load loss of 64W, as obtained from an open circuit test. When a short-circuit test is performed on it with 90% of the rated currents flowing in its both LV and HV win

A dielectric slab with 500 mm x 500 mm cross-section is 0.4 m long. The slab is subjected to a uniform electric field of kV/mm. The relative permittivity of the dielectric material is equal to 2. The

The flux density at a point in space is given by . The value of constant k must be equal to

The Voltage Source Inverter (VSI) shown in the figure below is switched to provide a 50 Hz, square-wave ac output voltage ( ) across an R-L load. Reference polarity of and reference direction of the o

The separately excited dc motor in the figure below has a rated armature current of 20 A and a rated armature voltage of 150 V. An ideal chopper switching at 5 kHz is used to control the armature volt

Thyristor T in the figure below is initially off and is triggered with a single pulse of width 10 s. It is given that and Assuming latching and holding currents of the thyristor are both zero and the

In the figure shown below, the chopper feeds a resistive load from a battery source. MOSFET Q is switched at 250 kHz, with a duty ratio of 0.4. All elements of the circuit are assumed to be ideal. The

For a power system network with n nodes, of its bus impedance matrix is j0.5 per unit. The voltage at node 3 is 1.3 per unit. If a capacitor having reactance of -j3.5 per unit is now added to the netw

In the following network, the voltage magnitudes at all buses are equal to 1 p.u., the voltage phase angles are very small, and the line resistances are negligible. All the line reactances are equal t

A single-phase load is supplied by a single-phase voltage source. If the current flowing from the load to the source is A and if the voltage at the load terminal is V, then the

Assuming zero initial condition, the response y(t) of the system given below to a unit step input u(t) is

The impulse response of a continuous time system is given by . The value of the step response at t=2 is

For a periodic signal , the fundamental frequency in rad/s

Which one of the following statements is NOT TRUE for a continuous time causal and stable LTI system?

Two systems with impulse responses are connected in cascade. Then the overall impulse response of the cascaded system is given by

The impulse response of a system is h(t)=tu(t). For an input u(t-1), the output is

A band-limited signal with a maximum frequency of 5 kHz is to be sampled. According to the sampling theorem, the sampling frequency in kHz which is not valid is