GATE ECE 2025 | Sinusoidal Steady State Response Question 3 | Network Theory

GATE ECE 2025

MCQ (Single Correct Answer)

-0.33

Let $i_C, i_L$, and $i_R$ be the currents flowing through the capacitor, inductor, and resistor, respectively, in the circuit given below. The AC admittances are given in Siemens(S). Which one of the following is true?

GATE ECE 2025 Network Theory - Sinusoidal Steady State Response Question 6 English

$i_C=0.25 \angle 180^{\circ} \mathrm{A}, \quad i_L=0.1 \angle 0^{\circ} \mathrm{A}, \quad i_R=0.2 \angle 90^{\circ} \mathrm{A}$

$i_C=4 \angle 180^{\circ} \mathrm{A}, \quad i_L=10 \angle 0^{\circ} \mathrm{A}, \quad i_R=5 \angle 90^{\circ} \mathrm{A}$

$i_C=0.25 \angle 270^{\circ} \mathrm{A}, \quad i_L=0.1 \angle 90^{\circ} \mathrm{A}, \quad i_R=0.2 \angle 90^{\circ} \mathrm{A}$

$i_C=4 \angle 90^{\circ} \mathrm{A}, \quad i_L=10 \angle 270^{\circ} \mathrm{A}, \quad i_R=5 \angle 0^{\circ} \mathrm{A}$

GATE ECE 2023

MCQ (Single Correct Answer)

-0.33

A series $$RLC$$ circuit has a quality factor Q of 1000 at a center frequency of $$10^6$$ rad/s. The possible values of R, L and C are

$$R=1~\Omega,L=1~\mu H$$ and $$C=1~\mu F$$

$$R=0.1~\Omega,L=1~\mu H$$ and $$C=1~\mu F$$

$$R=0.01~\Omega,L=1~\mu H$$ and $$C=1~\mu F$$

$$R=0.001~\Omega,L=1~\mu H$$ and $$C=1~\mu F$$

GATE ECE 2020

Numerical

-0

The current in the RL - circuit shown below is $i(t)=10 \cos (5 t-\pi / 4) \mathrm{A}$. The value of the inductor (rounded off to two decimal places) is $\_\_\_\_$ H.

Your input ____

GATE ECE 2020

Numerical

-0

In the circuit shown below, all the components are ideal and the input voltage is sinusoidal. The magnitude of the steady - state output $V_0$ (rounded off to two decimal places) is $\_\_\_\_$ V.

GATE ECE 2020 Network Theory - Sinusoidal Steady State Response Question 5 English