GATE EC 2016 Question Paper (31-Jan-2016) (Shift 1)

In the circuit shown below, V${}_S$ is a constant voltage source and I${}_L$ is a constant current load.



The value of ${\mathrm{I}}_{\mathrm{L}}$ that maximizes the power absorbed by the constant current load is

The switch has been in position 1 for a long time and abruptly changes to position 2 at t = 0.



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If time $\mathrm{t}$ is in seconds, the capacitor voltage ${\mathrm{V}}_{\mathrm{C}}$ (in volts) for $\mathrm{t}>0$ is given by

The figure shows an RLC circuit with a sinusoidal current source:



At resonance, the ratio |𝐈${}_{\text{L}}$ |/|𝐈${}_{\text{R}}$ |, i.e., the ratio of the magnitudes of the inductor current phasor and the resistor current phasor, is ________

The z-parameter matrix for the two-port network shown is

≤ft[ {*20c {2ω }&{ω }\\ {ω }&{3 + 2ω } } ]

where the entries are in Ω. Suppose Z${}_b$ (jω) = R${}_b$ + jω.



Then the value of R${}_b$ (in Ω) equals ________.

The energy of the signal $x(t)=\frac{\sin \left(4\pi \mathrm{t}\right)}{4\pi \mathrm{t}}$ is______