GATE EE
Electric Circuits
Transient Response
Previous Years Questions

Marks 1

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 ...
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 ≥...
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...
In the given circuit, the current supplied by the battery, in ampere, is ________. ...
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 $$\frac{\mathrm d^2... The switch SW shown in the circuit is kept at position ‘1’ for a long duration. At t = 0+, the switch is moved to position ‘2’ Assuming$$\left|V_{02}...
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...
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...
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 ...
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...
A unit step voltage is applied at $$t = 0$$ to a series $$RL$$ circuit with zero initial conditions.
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...
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...
The time constant of the network shown in Fig. is ...

Marks 2

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...
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...
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...
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 ...
The time constant for the given circuit will be ...
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...
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...
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...
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 ...
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 ...
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...
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 ...
In the circuit shown in Fig., the switch $$S$$ is closed at time $$t=0$$. The voltage across the inductance at $$t = {0^ + },$$ is ...
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...
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 ...
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

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...
In the given circuit, the capacitor is initially charged to $$12$$ $$V.$$ Find the mathematical expression for the voltage across the capacitor $${{V... The switch in the following circuit, shown in Fig. has been connected to the$$12V$$source for a long time. At$$t=0,$$the switch is thrown to$$24\$...
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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