GATE EE 2026 Question Paper (14-Feb-2026) (Shift 1)

A three-phase two-winding transformer has a voltage transformation ratio $\frac{V_P}{V_S}=0.866+j0.5$, where $V_P$ is the primary side voltage in p.u., and $V_S$ is the secondary side voltage in p.u. $I_P$ and $I_S$ represent the currents injected into the primary and secondary sides of the transformer, respectively. The admittance corresponding to the leakage impedance of the transformer referred to the secondary is $y_t$ p.u. Neglect the magnetizing branch.



The Y bus representation of this transformer is:

An electrical component has voltage drop $v=V_m\sin (\omega t)$, when the current through it is $i=I_m\sin (\omega t-\theta )$.

What is the average power dissipated over a half cycle corresponding to $\omega$?

The electrical network shown has an independent voltage source (10 V) and a current source ($1u(t)$ mA).



The voltage across the capacitor at time instants (in seconds)

$t=0^{+}$, $t=0.50$, and $t=\infty$, respectively, is:

The terminal voltage and current of a linear electrical network shown in Figure (a) are given in the table.

The correct choice for the parameters ($I_N$, $R_N$) of the Norton equivalent circuit shown in Figure (b) is:

The digital circuit shown has 3 inputs ($x$, $y$, and $z$).



The simplified logical expression for the output (OUT) is: