Transient Response · Network Theory · GATE ECE

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Marks 1

GATE ECE 2016 Set 2
The switch has been in position 1for a long time and abruptly changes to position 2 at t = 0. If time t is in seconds, the capacitor voltage VC (in v...
GATE ECE 2015 Set 1
In the circuit shown, the switch SW is thrown from position A to position B at time t = 0. The energy (in $$\mu J$$) taken from the 3V source to charg...
GATE ECE 2014 Set 3
A series RC circuit is connected to a DC voltage source at time t = 0. The relation between the source voltage VS, the resistance R, the capacitance C...
GATE ECE 2014 Set 2
In the figure shown, the ideal switch has been open for a long time. If it is closed at t=0, then the magnitude of the current (in mA) through the $$4...
GATE ECE 2012
In the following figure, C1 and C2 are ideal capacitors. C1 has been charged to 12 V before the ideal switch S is closed at t = 0. The current i(t) fo...
GATE ECE 2011
If the unit step response of a network is $$(1-e^{-\alpha t})$$, then its unit impulse response is
GATE ECE 2008
In the following circuit, the switch S is closed at t=0. The rate of change of current $$\frac{di}{dt}(0^+)$$ is given by ...
GATE ECE 2005
The condition on R, L and C such that the step response y(t) in figure has no oscillations, is ...
GATE ECE 2004
For the R-L circuit shown in Fig, the input voltage. vi(t) = u (t) The current i(t) is ...
GATE ECE 2002
In figure, the switch was closed for a long time before opening at t = 0. the voltage Vx at t = 0+ is ...
GATE ECE 1994
A ramp voltage, v(t) = 100 t Volts, is applied to an RC differentiating circuit with R = $$5k\Omega$$ and C = $$4\mu F$$.The maximum output voltage is

Marks 2

GATE ECE 2018
For the circuit given in the figure, the magnitude of the loop current (in amperes, correct to three decimal places) 0.5 second after closing the swit...
GATE ECE 2017 Set 2
The switch in the circuit, shown in the figure, was open for a long time and is closed at t = 0. The current i(t) (in ampere) at t = 0.5 seconds is __...
GATE ECE 2016 Set 2
The switch S in the circuit shown has been closed for a long time. It is opened at time t = 0 and remains open after that. Assume that the diode has z...
GATE ECE 2016 Set 3
Assume that the circuit in the figure has reached the steady state before time t = 0 when the 3 Ω resistor suddenly burns out, resulting in an open ci...
GATE ECE 2015 Set 2
In the circuit shown, the initial voltages across the capacitors C1 and C2 are 1 V and 3 V, respectively. The switch is closed at time t = 0. The tota...
GATE ECE 2015 Set 1
In the circuit shown, switch SW is closed at t = 0. Assuming zero initial conditions, the value of vc(t) (in Volts) at t= 1 sec is ___________. ...
GATE ECE 2014 Set 4
In the circuit shown in the figure, the value of V0(t) (in Volts) for $$t\rightarrow\infty$$ is ______. ...
GATE ECE 2014 Set 2
In the figure shown, the capacitor is initially uncharged. Which one of the following expressions describes the current I(t) (in mA) for t > 0? ...
GATE ECE 2011
In the circuit shown below, the initial charge on the capacitor is 2.5 mC, with the voltage polarity as indicated. The switch is closed at time t=0. T...
GATE ECE 2010
In the circuit shown, the switch S is open for a long time and is closed at t=0. The current i(t) for t ≥ 0+ is ...
GATE ECE 2009
The time domain behavior of an RL circuit is represented by $$$\mathrm L\frac{\mathrm{di}\left(\mathrm t\right)}{\mathrm{dt}}+\mathrm{Ri}\;=\;{\mathrm...
GATE ECE 2009
The switch in the circuit shown was on position ‘a’ for a long time and is moved to position ‘b’ at time t = 0. The current i(t) for t > 0 is given...
GATE ECE 2008
The following series RLC circuit with zero initial conditions is excited by a unit impulse function $$\delta$$(t). For t > 0, the output voltage ...
GATE ECE 2008
The following series RLC circuit with zero initial conditions is excited by a unit impulse function $$\delta$$(t). For t > 0, the voltage across t...
GATE ECE 2008
The circuit shown in the figure is used to charge the capacitor C alternately from two current sources as indicated. The switches S1 and S2 are mechan...
GATE ECE 2007
In the circuit shown, VC is 0 volts at t = 0 sec. For t > 0, the capacitor current iC(t), where t is in seconds, is given by ...
GATE ECE 2006
A 2mH inductor with some initial current can be represented as shown below, where s is the Laplace Transform variable. The value of initial curr...
GATE ECE 2006
In the figure shown below, assume that all the capacitors are initially uncharged. If νi(t) = 10 u(t) Volts, ν0(t) is given by ...
GATE ECE 2005
A square pulse of 3 volts amplitude is applied to C-R circuit shown in figure. The capacitor is initially uncharged. The output voltage v0 at time t=2...
GATE ECE 2004
The circuit shown in Fig, has initial current $${\mathrm i}_\mathrm L\left(0^-\right)\;=\;1\;\mathrm A$$ through the inductor and an initial voltage $...
GATE ECE 2003
The circuit is given in figure.Assume that the switch S is in position 1 for a long time and thrown to position 2 at t = 0. At t = 0+, the current ...
GATE ECE 2003
The circuit is given in figure.Assume that the switch S is in position 1 for a long time and thrown to position 2 at t = 0. I1(s) and I2(s) are the ...
GATE ECE 1996
The voltage VC1, VC2 and VC3 across the capacitors in the circuit in Fig., under steady state, are respectively ...
GATE ECE 1992
For the compensated attenuator of figure, the impulse response under the condition $$R_1C_1\;=\;R_2C_2$$ is: ...
GATE ECE 1990
If the Laplace transform of the voltage across a capacitor of value of $$\frac12\;\mathrm F$$ is $$V_C\;\left(s\right)\;=\;\frac{s\;+\;1}{s^3\;+\;s...
GATE ECE 1989
A 10 Ω resistor, a 1 H inductor and 1 $$\mathrm{μF}$$ capacitor are connected in parallel.The combination is driven by a unit step current.Under the s...

Marks 3

GATE ECE 1996
In the circuit shown in Fig (a) - (c), assuming initial voltages across capacitors and current through the inductors to be zero at the time of switchi...

Marks 5

GATE ECE 2002
The switch in Fig. has been in position $$1$$ for a long time and is then moved to position $$2$$ at $$t\, = \,0$$. (a) Determine $${V_C}\left( {{0^ +...
GATE ECE 2001
The circuit shown in Fig. is operating in steady-state with switch $${S_1}$$ closed. The switch $${S_1}$$ is opened at $$t\, = \,0$$. (a) Find $${i_...
GATE ECE 2000
The network $$N$$ in Fig. consists only of two elements: a resistor of $$1\Omega $$ and an inductor of L Henry. $$A$$ $$5$$ $$V$$ source is connected ...
GATE ECE 1999
In the circuit of figure, the switch $$'S'$$ has remained open for a long time. The switch closes instantaneously at $$ t = 0$$. n (a) Find $${V_0}$$...
GATE ECE 1994
The circuit shown in the figure, is initially in its steady state. Switch is opened at t = 0. (1) Determine the initial voltage, VC(0-), across the ...
GATE ECE 1993
In the following circuit the capacitance varies as C = KQ, where K is a constant equal to 0.5 Farads/Coulomb and Q, the charge on the capacitor in Cou...
GATE ECE 1991
The network shown in figure is initially under steady-state condition with the switch in position 1. The switch is moved from position 1 to position 2...

Marks 8

GATE ECE 1988
The circuit shown below is initially in a steady state condition. At $$t = 0$$, the switch '$$S$$' is opened. (i) Determine the initial voltage $${V...

Marks 10

GATE ECE 1990
The switch $$S$$ in figure is thrown to position $$'a'$$ at $$t = 0$$. At $$t = 1$$ second, the switch is thrown to position $$'b'$$. Find the current...
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