GATE 2022 Rapid Revision Weekly Quiz 4

For closed loop system having characteristic equation S² + 4S + 16 = 0

Resonant frequency in r/sec is

In Scott connection, if the turns ratio of primary to secondary of main transformer is K, then the teaser transformer has the transformation ratio of

For 50 MW generator if generator loading is Pi and its cost function is

225 + 53 Pi + 0.02 Pi²

The incremental fuel cost in Rs/MWhr considering 100% loading is

Consider the following pole-zero plot in z-plane of causal and stable system and choose the correct option:

To implement 3 input Ex-OR gate using 4×1 MUX the following arrangement has been done.

The input I₀, I₁, I₂, and I₃ in the same order that must be applied are

Consider Op-Amp is ideal and V₀ = aV₁ + bV₂. The value of a & b are

Determine the DC current ‘I’ for the circuit shown below. Assume: V_BE = 0.7 V, β = 75 .

A 4 pole lap wound DC generator has 180 coils. The armature is 50 cm long and 30 cm diameter. Each pole subtends an angle of 75° mechanical. The air gap density is 0.5 T. Find out the flux carried by each pole.

The counter shown in figure below is a

Consider the circuit shown below: Given that: [V_BE = 0.6 V]

Find the approximate value of V_o ?

A 10 V battery having 1Ω internal resistance is connected to non-linear load having relation

7i = V² + 2V.

Value of ‘i’ is _______ amp.

At what power factor one of the wattmeter indicate negative value in the measurement of total power in a 3 phase system.