GATE 2021 : Toppers Quiz 25 (App update required to attempt this test)

What is the value I_o? (V_z = 5V; V_FB = 0.7 V)

The critical value of K for which a unity negative feedback system with open loop transfer function given by will have marginal stability is ____.

Initially, the register is 10110111, and D - Flipflop cleared. Find the content of the register after 3^rd clock pulse (in binary form).

The reactance in a single phase 100 kVA, 2200/220V Transformer is 0.4 pu and full load copper loss is 10 kW operates at 0.9 pf leading. The voltage regulation in (%) of the transformer of full load will be:

A 3–, 400 kV, 50 Hz transmission line of 500 km length is assumed to be lossless. The line is energized with 400 kv at sending end. when load is removed, the receiving end voltage is 500 KV. Find the phase constant of the line in rad/km.

If x(n) and y(n) are related as and if then value of is _______.

Consider a circuit shown in figure below:


The circuit is usde for measuring the inductance L₁ and resistance R₁ of a coil if bridge is balanced when R₃ = R₄ = 2000 ohms, R₂= 1000 ohms R₅ = 200 ohms and C =1 μF?

The value of resistance R in the circuit shown in the figure, is varied in such a manner that the power dissipated in the  resistor is maximum. Under this condition, the value of R will be

Which of the following regarding short circuit ratio (SCR) are true?

A 200 V DC series motor runs at 1000 rpm and takes 15 A. The combined resistance of armature and flied is 0.5 Ω. Assuming torque is varying as square of the speed, the value of resistance to be inserted in series so as to reduce the speed to 700 rpm is _______.

In the GH(s) plane, the Nyquist plot of the loop transfer function G(s). H(s) = passes through the negative real axis at the point____?

To realize the given truth table, find the values of J and K w.r.t x, y (using JK -

Flipflop)

A parallel plate capacitor comprising two dielectrics ε_r1 = 1.2 and ε_r2. Each contains half the volume as shown in figure. If the area A = 4 m² and d = 2 mm. when we applied voltage across 10k across terminal and total stored energy is 1.858 J. Find the ε_r2 =?

Under steady state condition, the energy stored in the circuit is

The figure shows the single line diagram of single machine infinite bus system:

The inertia constant of the synchronous generator, H = 4 MW-sec/MVA and the frequency of the system is 50 Hz. The mechanical power is 1 p.u. The system is operating at the stable equilibrium point with rotor angle δ equal to 30°. A 3-Φ short circuit occurs at the certain location on one of the circuits of the double circuit transmission line. During fault, electrical power in p.u. is P_max sin δ. If the values of δ and  at the instant of fault clearing are 40° and 5.2 rad/sec respectively, then find P_max (in p.u.) is _________.

The series resonant circuit has its impedance,

The resonant freq is ______ rad/sec.

Class C commutation is shown in figure. Considering a safety factor of 2, what should be the value of capacitor C if the turn off time of both thyristors is 10μsecs?

A control system is shown in the following fig. For k_v = 10, the percentage of peak over shoot is ( in %)

A single transistor is operating as an ideal class B amplifier with a 1kΩ load. A dc meter in the collector circuit reads 10mA . The signal power delivered to the load is

A 200 V, 3 phase squirrel cage induction motor has a full load slip of 2.5 %. With blocked rotor, full load current is circulated when 60 volts is applied between lines. The necessary tapping on an auto transformer to limit the starting current to twice the full load current of motor is

For real numbers x and y, with y = 3x² + 3x + 1, the maximum and minimum value of x ϵ [-2, 0] are respectively,_________.

A 12 MHz clock frequency is applied to a cascaded counter containing a modulus-5 counter, a modulus-8 counter, and a modulus-10 counter. The lowest output frequency possible is (KHz)?