GATE IN 2017 Question Paper (12-Feb-2017) (Shift 2)

A series R-L-C circuit is excited with an A.C voltage source. The quality factor (Q) of the circuit is given as Q = 30. The amplitude of current in ampere at upper half-power frequency will be ________.

In the circuit diagram, shown in the figure S₁ was closed and S₂ was open for a very long time. At t = 0, S₁(switch connected to 1 V source) is opened and S₂ (switch connected to 3 V source) is closed. The voltage across the capacitor, in volts, at t = 5 μs is _____

Consider two discrete-time signals:

x₁(n) = {1, 1} and x₂(n) = {1, 2}, for n = 0, 1.

The Z-transform of the convoluted sequence x(n) = x₁(n) * x₂(n) is

Three DFT coefficients, out of five DFT coefficients of a five-point real sequence are given as: X(0) = 4, X(1) = 1 – j1 and X(3) = 2 + j2. The zero-th value of the sequence x(n), x(0), is

The Laplace transform of a causal signal y(t) is $y\left(s\right)=\frac{s+2}{s+6}$. The value of the signal y(t) at t = 0.1s is ______ units.