GATE ECE

Transient Response

Network Theory

(Past Years Questions)

Marks 1

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

Marks 2

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For the circuit given in the figure, the magnitude of the loop current (in amperes, correct to three decimal places) 0.5...
GATE ECE 2018
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 am...
GATE ECE 2017 Set 2
Assume that the circuit in the figure has reached the steady state before time t = 0 when the 3 Ω resistor suddenly burn...
GATE ECE 2016 Set 3
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 tha...
GATE ECE 2016 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 ...
GATE ECE 2015 Set 2
In the circuit shown, switch SW is closed at t = 0. Assuming zero initial conditions, the value of vc(t) (in Volts) at t...
GATE ECE 2015 Set 1
In the circuit shown in the figure, the value of V0(t) (in Volts) for $$t\rightarrow\infty$$ is ______. ...
GATE ECE 2014 Set 4
In the figure shown, the capacitor is initially uncharged. Which one of the following expressions describes the current ...
GATE ECE 2014 Set 2
In the circuit shown below, the initial charge on the capacitor is 2.5 mC, with the voltage polarity as indicated. The s...
GATE ECE 2011
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 2010
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 curr...
GATE ECE 2009
The time domain behavior of an RL circuit is represented by $$$\mathrm L\frac{\mathrm{di}\left(\mathrm t\right)}{\mathrm...
GATE ECE 2009
The following series RLC circuit with zero initial conditions is excited by a unit impulse function $$\delta$$(t). For...
GATE ECE 2008
The following series RLC circuit with zero initial conditions is excited by a unit impulse function $$\delta$$(t). For ...
GATE ECE 2008
The circuit shown in the figure is used to charge the capacitor C alternately from two current sources as indicated. The...
GATE ECE 2008
In the circuit shown, VC is 0 volts at t = 0 sec. For t > 0, the capacitor current iC(t), where t is in seconds, is give...
GATE ECE 2007
A 2mH inductor with some initial current can be represented as shown below, where s is the Laplace Transform varia...
GATE ECE 2006
In the figure shown below, assume that all the capacitors are initially uncharged. If νi(t) = 10 u(t) Volts, ν0(t) is gi...
GATE ECE 2006
A square pulse of 3 volts amplitude is applied to C-R circuit shown in figure. The capacitor is initially uncharged. The...
GATE ECE 2005
The circuit shown in Fig, has initial current $${\mathrm i}_\mathrm L\left(0^-\right)\;=\;1\;\mathrm A$$ through the ind...
GATE ECE 2004
The circuit is given in figure.Assume that the switch S is in position 1 for a long time and thrown to position 2 at t =...
GATE ECE 2003
The circuit is given in figure.Assume that the switch S is in position 1 for a long time and thrown to position 2 at t =...
GATE ECE 2003
The voltage VC1, VC2 and VC3 across the capacitors in the circuit in Fig., under steady state, are respectively ...
GATE ECE 1996
For the compensated attenuator of figure, the impulse response under the condition $$R_1C_1\;=\;R_2C_2$$ is: ...
GATE ECE 1992
If the Laplace transform of the voltage across a capacitor of value of $$\frac12\;\mathrm F$$ is $$V_C\;\left(s\right...
GATE ECE 1990
A 10 Ω resistor, a 1 H inductor and 1 $$\mathrm{μF}$$ capacitor are connected in parallel.The combination is driven by a...
GATE ECE 1989

Marks 3

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

Marks 5

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

Marks 8

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

Marks 10

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

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