GATE ECE 2025 | Sinusoidal Steady State Response Question 1 | 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 1 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 2017 Set 2

Numerical

-0

In the circuit shown, $$V$$ is a sinusoidal voltage source. The current $$I$$ is in phase with voltage $$V$$. The ratio $${{{\rm{Amplitude of voltage across the capacitor }}} \over {{\rm{Amplitude of voltage across the resistor }}}}$$ is ______. GATE ECE 2017 Set 2 Network Theory - Sinusoidal Steady State Response Question 35 English

GATE ECE 2017 Set 2 Network Theory - Sinusoidal Steady State Response Question 35 English

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GATE ECE 2017 Set 1

Numerical

-0

In the circuit shown, the positive angular frequency $$\omega$$ (in radians per second) at which magnitude of the phase difference between the voltages $$V_1$$ and $$V_2$$ equals $$\frac{\mathrm\pi}4$$ radians, is __________. GATE ECE 2017 Set 1 Network Theory - Sinusoidal Steady State Response Question 62 English