GATE EE 2022 Question Paper (05-Feb-2022) (Shift 2)

An inductor having a Q-factor of 60 is connected in series with a capacitor having a Q- factor of 240. The overall Q-factor of the circuit is ________. (round off to nearest integer)

Consider a 3 × 3 matrix 𝐴 whose (i, j)-th element, a${}_{i,j}$ = (i - j)³ .Then the matrix A will be

Two balanced three-phase loads, as shown in the figure, are connected to a 100√3 V, three-phase, 50 Hz main supply. Given Z₁ = (18 + j24) Ω and Z₂ = (6 + j8) Ω . The ammeter reading, in amperes, is _______. (round off to nearest integer)

The current gain (Iₒᵤₜ/Iᵢₙ) in the circuit with an ideal current amplifier given below is

The transfer function of a real system, 𝐻(𝑠), is given as:

$H(s)=\frac{As+B}{s^2+Cs+D}$

where 𝐴, 𝐵, 𝐶 and 𝐷 are positive constants. This system cannot operate as