Transient Response · Electric Circuits · GATE EE
Start PracticeMarks 1
GATE EE 2024
The circuit shown in the figure with the switch S open, is in steady state. After the switch S is closed, the time constant of the circuit in seconds ...
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 $$\frac{\mathrm d^2...
GATE EE 2014 Set 2
The switch SW shown in the circuit is kept at position ‘1’ for a long duration. At t = 0+, the
switch is moved to position ‘2’ Assuming $$\left|V_{02}...
GATE EE 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 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
The time constant of the network shown in Fig. is
...
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...
Marks 2
GATE EE 2023
The circuit shown in the figure is initially in the steady state with the switch K in open condition and $$\overline K $$ in closed condition. The swi...
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
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 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 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...