GATE EE 2021 Question Paper (07-Feb-2021) (Shift 1)

The input impedance, Zᵢₙ (s), for the network shown is

In the BJT circuit shown, beta of the PNP transistor is 100. Assume V${}_{BE}$ = -0.7 V. The voltage across R${}_C$ will be 5 V when R₂ is _____ kΩ.

(Round off to 2 decimal places).

Let p(z) = z³ + (1 + j) z² + (2 + j) z + 3, where z is a complex number.

Which one of the following is true?

Which one of the following vector functions represents a magnetic field $\vec{B}$ ?

(x̂, ŷ, and ẑ are unit vectors along x-axis, y-axis and z-axis, respectively)

Suppose I${}_A$, I${}_B$ and I${}_C$ are a set of unbalanced current phasors in a three-phase system. The phase-B zero-sequence current I${}_{B0}$ = 0.1 ∠0° p.u. If phase-A current I${}_A$ = 1.1 ∠0° p.u. and phase-C current I${}_C$ = (1 ∠120° + 0.1) p.u. then I${}_B$ in p.u. is