GATE EC 2021 Question Paper (07-Feb-2021) (Shift 2)

If the vectors (1.0, -1.0, 2.0), (7.0, 3.0, x) and (2.0, 3.0, 1.0) in R³ are linearly dependent, the value of x is ______

Consider the vector field F = ax (4y - c1z) + ay (4x + 2z) +az (2y +z) in rectangular coordinated system (x, y, z) with unit vectors ax, ay, and az, If the filed F is irrotational (conservative), then the constant c₁ (in integer) is _____

Consider the circuit shown in the figure.



The current I flowing through the 7 Ω resistor between P and Q (rounded off to one decimal place) is _______ A.

Consider the circuit shown in the figure.



The value of v₀ (rounded off to one decimal place) is ______ V.

An 8-bit unipolar (all analog output values are positive) digital-to-analog converter (DAC) has a full-scale voltage range from 0 V to 7.68 V. If the digital input code is 10010110 (the leftmost bit is MSB), then the analog output voltage of DAC (rounded off to one decimal place) is _______ V.