GATE ECE 2016 Set 1 | GATE ECE Year Wise Previous Years Questions

GATE ECE 2016 Set 1

Numerical

-0

An AC voltage source V = 10 sin(t) volts is applied to the following network. Assume that R₁ = 3 kΩ, R₂ = 6 kΩ and R₃ = 9 kΩ and that the diode is ideal.

GATE ECE 2016 Set 1 Network Theory - Sinusoidal Steady State Response Question 48 English

RMS current I_rms (in mA) through the diode is _________.

Your input ____

GATE ECE 2016 Set 1

MCQ (Single Correct Answer)

-0.3

Consider a two-port network with the transmission matrix: T = $$\begin{bmatrix}A&B\\C&D\end{bmatrix}$$. If the network is reciprocal, then

T^-1 = T

T² = T

Determinant (T) = 0

Determinant (T) = 1

GATE ECE 2016 Set 1

MCQ (Single Correct Answer)

-0.6

A network consisting of a finite number of linear resistor (R), inductor (L), and capacitor (C) elements, connected all in series or all in parallel, is excited with a source of the form
$$\sum\limits_{k = 1}^3 {{a_k}\,\,\cos \,\left( {k{\omega _0}t} \right),\,\,\,} $$ where $${a_k} \ne 0,\,\,{\omega _0} \ne 0$$.

The source has nonzero impedance. Which one of the following is a possible form of the output measured across a resistor in the network?

$$\sum\limits_{k = 1}^3 {{b_k}{\mkern 1mu} {\mkern 1mu} \cos \left( {k{\omega _0}t + {\phi _k}} \right),{\mkern 1mu} {\mkern 1mu} {\mkern 1mu} } $$ where $${b_k} \ne {a_k},\,\,\forall k$$

$$\sum\limits_{k = 1}^3 {{b_k}\,\,\cos \left( {k{\omega _0}t + {\phi _k}} \right)\,\,\,} $$ , where $${b_k} \ne 0,\,\,\forall k$$

$$\sum\limits_{k = 1}^3 {{a_k}\,\,\cos \left( {k{\omega _0}t + {\phi _k}} \right)\,\,\,} $$

GATE ECE 2016 Set 1

MCQ (Single Correct Answer)

-0.3

Which one of the following is an eight function of the class of all continuous-time, linear, time- invariant systems u(t) denotes the unit-step function?

$${e^{j{\omega _0}t}}u(t)$$

$$\cos ({\omega _0}t)$$

$${e^{j{\omega _0}t}}$$

$$\sin ({\omega _0}t)$$

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