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

A positive point charge with velocity $\vec{v}=5\hat{x}$ enters a region having electric field $\vec{E}=4\hat{y}$ and magnetic field $\vec{B}=-6\hat{z}$. Which one of the following statements is correct for the force on the charge as it enters the region?

A 15 kVA, 1100 V/220 V, single-phase two-winding transformer is configured as a 1.32 kV/1.1 kV autotransformer.

What will be the rating of the autotransformer?

Consider a power system with $N$ buses, of which $P$ are generator buses and the remaining $Q$ are load buses (where there is no generation).

Assume that there are no reactive power-limit violations at the generator buses.

What is the size of the Jacobian matrix in the Newton-Raphson load flow method?

The initial three-phase voltage phasors (${\bar{V}}_A$, ${\bar{V}}_B$, and ${\bar{V}}_C$) at a bus of a power network are as shown in Case-1. Due to a disturbance, the bus voltage phasors changed in phase by a small angle $\Delta \theta$, and the magnitudes remained the same as depicted in Case-2.



Which one of the following statements is correct about the zero sequence components?

A certain application requires power at a frequency of 16.67 Hz, while the available grid frequency is 50 Hz. A 3-phase synchronous motor connected to the 50 Hz, 3-phase grid, driving a synchronous generator, is used for this application.

Which one of the following combinations is a suitable choice for the number of poles in the motor and generator, respectively?