GATE 2019: Topper Quiz 22 (App update required to attempt this test)

The operational amplifier shown in the figure is ideal. The input voltage (in Volt) is . The amplitude of the output voltage V₀ (in Volt) is _____.

In the following circuit, the transistor is in active mode and V_c = 2V. To get V_C = 4V, we replace R_C with R’_C. The ratio is _____.

Consider the following state-space representation of a linear time-invariant system

The value of y(t) for t= ln(2) is ________.

The frequency at the output of the following cascaded circuit is …………. Hz.

Consider the logical circuit given below:


Input at line in corresponds to output at line of De Mux. The value of is _________.

If the primary line voltage rating is 3.3 kV (Y side) of a 25 kVA. Y-∆ transformer (the per phase turns ratio is 5:1), then the line current rating of the secondary side (in Ampere) is_____.

A 120 V DC shunt motor takes 2 A at no load. It takes 7 A on full load while running at 1200 rpm. The armature resistance is 0.8Ω, and the shunt field resistance is 240 Ω. The no load speed, in rpm, is _______________.

Divergence of curl of a vector is ________.

A certain resistor has a voltage drop of 110.2 V and a current of 5.3 A. The uncertainties in the measurements are ± 0.2 V and ± 0.06 A respectively. Then the uncertainty in power is ± _______%.

A CRO was used to observe a waveform of signal with amplitude 7unit. w=314rad/sec, phase angle of 60˚, shows sinusoidal nature. If the time line base setting is set to 7msec/div and CRO shows 3.5 cycles on screen. The number of division on CRO screen will be...

In the circuit shown, switch has been closed for a long time. A time t = 0 switch is closed At t = , the rate of change of current through the inductor, in amperes per second, is -----------------.

In the circuit shown below, the node voltage V_A is -------------------------V.

The switching waveforms of the transistor switch is shown in figure. duty cycle  α is 50% and switching frequency is 10 kHz determine :

Average power loss [in Watt] due to collector current during turn on process :

For a power diode, the reverse recovery time is 3.9µs and the rate of diode current decay is 50A/ µs. For a softness factor of 0.3, the storage charge [in µC] in power diode is...?

A 3- 50 Hz transmission line is delivering a load of 35 MW at 132 kV. Consider nominal r-network.
Date are :
Impedance  Z= (10+j30) Ohm 
admittance Y = j0.282 x 10^-3 Siemens  
charging current = 22.2 Ampore
Determine total losses in the line

Find the most economic current density [in Amp/cm²] of conductor to transmit a loading of 4000 kVA over a line operated at 66 kV. Capital cost of conductor per km is 30000 a, where a is cross sectional area of conductor in cm². Cost of energy waste is 10 paise/kwh interest and depreciation on capital cost is 12%. Resistance per km of a conductor of 1 cm² cross section is 0.183.

The signal energy of the continuous-time signal
is

Consider a causal and stable LTI system with rational transfer function H(z). Whose corresponding impulse response begins at n = 0. Furthermore, The poles of H(z) are for k = 1,2,3,4. The zeros of H(z) are all at z = 0. Let. The value of g [8] equals ___________.