Transient Response · Electric Circuits · GATE EE

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Marks 1

GATE EE 2022
In the circuit shown below, the switch S is closed at t = 0. The magnitude of the steady state voltage, in volts, across the 6 $$\Omega$$ resistor is ...
GATE EE 2021
In the circuit, switch 'S' is in the closed position for a very long time. If the switch is opened at time t = 0, then iL (t) in amperes, for t ≥...
GATE EE 2017 Set 2
The initial charge in the 1 F capacitor present in the circuit shown is zero. The energy in joules transferred from the DC source until steady state c...
GATE EE 2016 Set 1
In the given circuit, the current supplied by the battery, in ampere, is ________. ...
GATE EE 2015 Set 2
A series RL circuit is excited at t = 0 by closing a switch as shown in the figure. Assuming zero initial conditions, the value of $$\frac{\mathrm d^2...
GATE EE 2014 Set 1
A combination of 1μF capacitor with an initial voltage Vc(0) = −2V in series with a 100Ω resistor is connected to a 20 mA ideal dc current source by o...
GATE EE 2014 Set 2
The switch SW shown in the circuit is kept at position ‘1’ for a long duration. At t = 0+, the switch is moved to position ‘2’ Assuming $$\left|V_{02}...
GATE EE 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 EE 2010
The switch in the circuit has been closed for a long time. It is opened at t = 0. At t = 0+, the current through the 1μF capacitor is ...
GATE EE 2005
In the Fig. given below, the initial capacitor voltage is zero. The switch is closed at $$t = 0.$$ the final steady-state voltage across the capacito...
GATE EE 2001
A unit step voltage is applied at $$t = 0$$ to a series $$RL$$ circuit with zero initial conditions.
GATE EE 1996
In the series $$RC$$ circuit shown in Fig. the voltage across $$C$$ starts increasing when the $$d.c.$$ source is switched on. The rate of increase of...
GATE EE 1992
In the circuit of Fig, the switch $$'S'$$ is closed at $$t=0$$ with $${i_L}\left( 0 \right) = 0$$ and $${V_C}\left( 0 \right) = 0.$$ In the steady st...
GATE EE 1992
The time constant of the network shown in Fig. is ...

Marks 2

GATE EE 2021
A 100 Hz square wave, switching between 0 V and 5 V, is applied to a CR high-pass filter circuit as shown. The output voltage waveform across the resi...
GATE EE 2020
A resistor and a capacitor are connected in series to a 10 V dc supply through a switch. The switch is closed at t = 0, and the capacitor voltage is f...
GATE EE 2016 Set 1
In the circuit shown, switch S2 has been closed for a long time. A time t = 0 switch S1 is closed. At t=0+ , the rate of change of current through the...
GATE EE 2009
In the Fig. shown, all elements used are ideal. For time t<0, S1 remained closed and S2 open. At t=0, S1 is opened and S2 is closed.If the voltage ...
GATE EE 2008
The time constant for the given circuit will be ...
GATE EE 2007
In the figure, transformer $${T_1}$$ has two secondaries, all three windings having the same number of turns and with polarities having the same numbe...
GATE EE 2007
In the circuit shown in Fig. switch $$S{w_1}$$ is initially CLOSED and $$S{w_2}$$ is OPEN. The inductor $$L$$ carries a current of $$10$$ $$A$$ and th...
GATE EE 2006
An ideal capacitor is charged to a voltage $${V_0}$$ and connected at $$t=0$$ across an ideal inductor $$L.$$ (The circuit now consists of a capacitor...
GATE EE 2005
A coil of inductance $$10$$ $$H$$ resistance $$40\,\,\Omega $$ is connected as shown in Fig. After the switch $$S$$ has been in connection with point ...
GATE EE 2005
The circuit shown in the Fig. is in steady state, when the switch is closed at $$t=0.$$ Assuming that the inductance is ideal, the current through the...
GATE EE 2005
A coil of inductance $$10$$ $$H$$ resistance $$40\,\,\Omega $$ is connected as shown in Fig. After the switch $$S$$ has been in connection with point ...
GATE EE 2004
In figure, the capacitor initially has a charge of $$10$$ Coulomb. The current in the circuit one second after the switch $$S$$ is closed will be ...
GATE EE 2003
In the circuit shown in Fig., the switch $$S$$ is closed at time $$t=0$$. The voltage across the inductance at $$t = {0^ + },$$ is ...
GATE EE 2002
Consider the circuit shown in Fig. If the frequency of the source is $$50$$ $$Hz,$$ then a value of $${t_0}$$ which results in a transient free respon...
GATE EE 2002
An $$11$$ $$V$$ pulse of $$10$$ $$µ$$s duration is applied to the circuit shown in Fig. Assuming that the capacitor is completely discharged prior to ...
GATE EE 1999
A rectangular voltage pulse of magnitude $$V$$ and duration $$T$$ is applied to a series combination of resistance $$R$$ and capacitance $$C.$$ The ma...

Marks 5

GATE EE 2002
A constant current source is supplying $$10A$$ to a circuit shown in Fig. the switch $$S,$$ which is initially closed for a sufficiently long time, is...
GATE EE 1999
In the given circuit, the capacitor is initially charged to $$12$$ $$V. $$ Find the mathematical expression for the voltage across the capacitor $${{V...
GATE EE 1998
The switch in the following circuit, shown in Fig. has been connected to the $$12V$$ source for a long time. At $$t=0,$$ the switch is thrown to $$24$...
GATE EE 1997
In the circuit shown in Fig., $${e_g}\left( t \right) = 2.5t$$ volts. What are the values of $$i(t)$$ and $${V_L}\left( t \right)$$ at $$t=4$$ second...
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