Transient Response · Network Theory · GATE ECE

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...

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...

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...

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...

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...

If the unit step response of a network is $$(1-e^{-\alpha t})$$, then its unit impulse response is

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 ...

The condition on R, L and C such that the step response y(t) in figure has no oscillations, is ...

For the R-L circuit shown in Fig, the input voltage. vi(t) = u (t) The current i(t) is ...

In figure, the switch was closed for a long time before opening at t = 0. the voltage Vx at t = 0+ is ...

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

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...

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 __...

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...

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...

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...

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 ___________. ...

In the circuit shown in the figure, the value of V0(t) (in Volts) for $$t\rightarrow\infty$$ is ______. ...

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? ...

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...

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 ...

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...

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...

The following series RLC circuit with zero initial conditions is excited by a unit impulse function $$\delta$$(t). For t > 0, the output voltage ...

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...

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...

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 ...

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...

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 ...

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...

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 $...

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 ...

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 ...

The voltage VC1, VC2 and VC3 across the capacitors in the circuit in Fig., under steady state, are respectively ...

For the compensated attenuator of figure, the impulse response under the condition $$R_1C_1\;=\;R_2C_2$$ is: ...

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...

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...

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...

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^ +...

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_...

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 ...

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 $${V_0}$$...

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 ...

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...

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...

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...

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...