GATE 2022 Rapid Revision Quiz 18

The system defined by the input-output relationship y(t) = x(t²) is

Consider the circuit given below find the value of Zener diode current I_Z.

If , if evaluated over y = x. Then A + B = _________.

Consider Routh array of characteristic equation having first column terms as

6, 7, 7, –4, –3, –5

Then, ______________ roots are in right-half of s-plane.

For the logic circuit shown, if inputs A, B and C are 9, 6, B (Hexadecimal) appearing over the same interval of time. What will be output number (X) if it is represented in hexadecimal?

For a DC shunt motor for a condition when its taking 16A observed data is

i) Rating = 60 kW, 250V

ii) Speed = 1440 rpm when running-light

iii) Armature resistance = 0.2Ω

iv) Field resistance = 125Ω

v) Mechanical loses = 0 (Always)

If motor takes 152 A, instead of 16A, its efficiency is _____________%.

The circuit shown in the figure below has, . The input to the circuit is given by . Find the value of C( in mF), so that V and I are in phase.
(Write the answer upto two decimal places)

A power network consists of 2 bus bars connected with each other through a star-delta transformer and a transmission line. The bus bar 1 is fed through a star connected synchronous generator and the bus bar 2 is connected to a power network ‘P’. The per unit reactance are as follows:-

If a 3 phase symmetrical fault occur at bus bar 2, find the ratio of fault current when the power network ‘P’ is synchronous motor with positive sequence reactance of 0.5 pu to the fault current when network ‘P’ is an induction motor with reactance of 0.24 pu.