GATE ECE 2016 Set 1 | Sinusoidal Steady State Response Question 10 | Network Theory

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

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 49 English

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

Your input ____

GATE ECE 2015 Set 1

MCQ (Single Correct Answer)

-0.6

The damping ratio of a series $$RLC$$ circuit can be expressed as

$${{{R^2}C} \over {2L}}$$

$${{2L} \over {{R^2}C}}$$

$${R \over 2}\sqrt {{C \over L}} $$

$${2 \over R}\sqrt {{L \over C}} $$

GATE ECE 2015 Set 1

Numerical

-0

In the given circuit, the maximum power (in Watts) that can be transferred to the load R_L is ___________________. GATE ECE 2015 Set 1 Network Theory - Sinusoidal Steady State Response Question 50 English