1
GATE ECE 2023
MCQ (Single Correct Answer)
+1
-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

A
$$R=1~\Omega,L=1~\mu H$$ and $$C=1~\mu F$$
B
$$R=0.1~\Omega,L=1~\mu H$$ and $$C=1~\mu F$$
C
$$R=0.01~\Omega,L=1~\mu H$$ and $$C=1~\mu F$$
D
$$R=0.001~\Omega,L=1~\mu H$$ and $$C=1~\mu F$$
2
GATE ECE 2017 Set 1
Numerical
+1
-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 60 English
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3
GATE ECE 2017 Set 2
Numerical
+1
-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 33 English
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4
GATE ECE 2016 Set 2
Numerical
+1
-0
The figure shows an $$RLC$$ circuit with a sinusoidal current source. GATE ECE 2016 Set 2 Network Theory - Sinusoidal Steady State Response Question 35 English

At response, the ratio $$\left| {{{\rm I}_L}} \right|/\left| {{{\rm I}_R}} \right|$$, i.e., the ratio of the magnitudes of the inductor current phasor and the resistor current phasor, is _________.

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