For the circuit given in the figure, the voltage
VC
(in volts) across the capacitor is :
A
1.25$$\sqrt 2 $$ sin(5t - 0.25$$\pi $$)
B
1.25$$\sqrt 2 $$ sin(5t - 0.125$$\pi $$)
C
2.5$$\sqrt 2 $$ sin(5t - 0.25$$\pi $$)
D
2.5$$\sqrt 2 $$ sin(5t - 0.125$$\pi $$)
2
GATE ECE 2017 Set 1
Numerical
+2
-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 ________ .
Your input ____
3
GATE ECE 2017 Set 1
Numerical
+2
-0
In the circuit shown the voltage $${V_{IN}}\,\left( t \right)$$ is described by:
$$${V_{IN}}\,\left( t \right) = \left\{ {\matrix{
{0,} & {for\,\,\,t < 0} \cr
{15Volts,} & {for\,\,\,t \ge 0} \cr
} } \right.$$$
where $$'t'$$ is in seconds. The time (in seconds) at which the current $${\rm I}$$ in the circuit will reach the value $$2$$ Ampere is ______ .
Your input ____
4
GATE ECE 2016 Set 1
MCQ (Single Correct Answer)
+2
-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?
