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

The MOSFET switches shown in the circuit are ideal.



Which of the following is the correct option for Boolean logical expression of the output (OUT), and the maximum possible power (P) consumed by the circuit?

Consider the single-phase voltage source inverter circuit feeding an inductive load ($L$). Assume that the power MOSFET switches are ideal. $S_1$ and $S_2$ are switched on during the first $10\mu s$, and $S_3$ and $S_4$ are switched on during the next 10 μ s in a switching cycle. The switches in the same leg are thus switched in a complementary fashion. Neglect the dead time. The waveform of the inductor current ($i_L$) in the steady state is triangular with a peak value of $5\text{ A}$ as shown.



The rms value of the current through the switch $S_1$ is:

Consider the boost converter circuit shown. Assume that the semiconductor devices are ideal. In steady state, the inductor current rises linearly from 0 A to 6 A in the first 10 µs and then falls linearly from 6 A to 0 A in the next 10 µs of every switching cycle as shown. The load resistance R is 10 Ω and the capacitance C is 500 µF.



Neglect the ripple in the output voltage. What is the input voltage $V_{dc}$?

Which one of the following statements is ALWAYS correct about a collection of $p$ column vectors, each having $n$ real-valued entries?

Consider the second-order differential equation
$$\frac{d^{2}y}{d{x}^2}+\frac{dy}{dx}+y=0$$
with initial conditions
$$y(0)=1,{\frac{dy}{dx}|}_{x=0}=1$$
The solution is given by