GATE ECE 2017 Set 1 | Sinusoidal Steady State Response Question 14 | Network Theory

GATE ECE 2017 Set 1

Numerical

-0

The figure shows an RLC circuit excited by the sinusoidal voltage $$100cos(3t)$$ Volts, where $$t$$ is in seconds. The ratio $${{amplitude\,\,of\,\,{V_2}} \over {amplitude\,\,of\,\,{V_1}}}\,\,$$ is ________ . GATE ECE 2017 Set 1 Network Theory - Sinusoidal Steady State Response Question 24 English

GATE ECE 2017 Set 1 Network Theory - Sinusoidal Steady State Response Question 24 English

Your input ____

GATE ECE 2016 Set 1

Numerical

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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 56 English

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

Your input ____

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 2015 Set 3

Numerical

-0

In the circuit shown, the current $${\rm I}$$ flowing through the $$50\,\Omega $$ resistor will be zero if the value of capacitor C (in $$\mu F$$) is ________ . GATE ECE 2015 Set 3 Network Theory - Sinusoidal Steady State Response Question 27 English