GATE EE 2025 Question Paper (02-Feb-2025) (Shift-2)

The maximum percentage error in the equivalent resistance of two parallel connected resistors of $100\Omega$ and $900\Omega$ with each having a maximum 5% error is ___________ %. (Round off to nearest integer value)

Consider a distribution feeder, with $R/X$ ratio of 5. At the receiving end, a 350 kVA load is connected. The maximum voltage drop will occur from the sending end to the receiving end, when the power factor of the load is ___________ (round off to three decimal places).

The bus impedance matrix of a 3-bus system (in pu) is
$Z_{bus}=\left[\begin{array}{ccc}j0.059& j0.061& j0.038\\ j0.061& j0.093& j0.066\\ j0.038& j0.066& j0.110\end{array}\right]$
A symmetrical fault (through a fault impedance of $j0.007$ p.u.) occurs at bus 2. Neglecting pre-fault loading conditions, the voltage at bus 1, during the fault is ________ p.u. (round off to three decimal places).

In the circuit with ideal devices, the power MOSFET is operated with a duty cycle of 0.4 in a switching cycle with $I=10$ A and $V=15$ V. The power delivered by the current source, in W, is ________ (round off to the nearest integer)

The induced emf in a 3.3 kV, 4-pole, 3-phase, star-connected synchronous motor is considered to be equal and in phase with the terminal voltage under no load condition. On application of a mechanical load, the induced emf phasor is deflected by an angle of $2^{\circ }$ mechanical with respect to the terminal voltage phasor. If the synchronous reactance is $2\Omega$, and stator resistance is negligible, then the motor armature current magnitude, in ampere, during loaded condition, is closest to _______ (round off to two decimal places)