In the circuit given below, the switch  was kept open for a sufficiently long time and is closed at time . The time constant (in seconds) of the circuit for  is ________.

In the circuit shown below, switch S was closed for a long time. If the switch is opened at t=0, the maximum magnitude of the voltage  in volts, is ________ (rounded off to the nearest integer).         

The switch  was closed and  was open for a long time. At , switch  is opened and  is closed, simultaneously. The value of , in amperes, is

The switch in the circuit in the figure is in position  for a long time and then moved to position  at time .

The value of  at is

In the circuit shown in the figure, the switch is closed at time , while the capacitor is initially charged to  (i.e.,  ).

The time after which the voltage across the capacitor becomes zero (rounded off to three decimal places) is _______.

The circuit in the figure contains a current source driving a load having an inductor and a resistor in series, with a shunt capacitor across the load. The ammeter is assumed to have zero resistance. The switch is closed at time .

Initially, when the switch is open, the capacitor is discharged and the ammeter reads zero ampere. After the switch is closed, the ammeter reading keeps fluctuating for some time till it settles to a final steady value. The maximum ammeter reading that one will observe after the switch is closed (rounded off to two decimal places) is____________A.

The RC circuit shown below has a variable resistance R(t) given by the following expression:

for        

Where and C=1 F. We also given thatand the source voltage is. If the current at time t=0 is 1A, then the current I(t), in amperes, at time is ______ (rounded off to 2 decimal places)

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 switch is ________

In the circuit shown, the voltage is described by:

Where t is in seconds. The time (in seconds) at which the current I in the circuit will reach the value 2 Amperes is ___________.

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 has been in position 1 for a long time and abruptly changes to position 2 at .

If time t is in seconds, the capacitor voltage  (in volts) for t > 0 is given by

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 circuit. The current i(t) (in ampere) at  is ________.

In the circuit shown, the switch SW is thrown from position A to position B at time t = 0. The energy (in μJ) taken from the 3 V source to charge the 0.1 μF capacitor from 0 V to 3 V is

The damping ratio of a series RLC circuit can be expressed as

In the circuit shown, switch SW is closed at t = 0. Assuming zero initial conditions, the value of  (in Volts) at t = 1 sec is ________.

An LC tank circuit consists of an ideal capacitor C connected in parallel with a coil of inductance L having an internal resistance R. The resonant frequency of the tank circuit is

In the circuit shown, the initial voltages across the capacitors  and  are 1 V and 3 V, respectively. The switch is closed at time t=0. The total energy dissipated (in Joules) in the resistor R until steady state is reached, is __________.

In the circuit shown in the figure, the value of capacitor C (in mF) needed to have critically damped response i(t) is_________.

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 4kΩ resistor at  is ___________.

n the figure shown, the capacitor is initially uncharged. Which one of the following expressions describes the current I(t) (in mA) for ?

A series RC circuit is connected to a DC voltage source at time t = 0. The relation between the source voltage, the resistance R, the capacitance C, and the current i(t) is given below:        

 .

Which one of the following represents the current i(t)?

Consider the building block called ‘Network N’ shown in the figure. Let C = 100 µF and R= 10kΩ.

Two such blocks are connected in cascade, as shown in the figure.

The transfer function   of the cascaded network is

In the circuit shown in the figure, the value of  (in Volts) for is ______.

The transfer function  of the circuit shown below is

In the circuit shown below, the initial charge on the capacitor is 2.5mC, with the voltage polarity as indicated. The switch is closed at t=0. The current i(t) at a time t after the switch is closed is?

In the circuit shown, the switch S is open for a long time and is closed at . The current i(t) for  is

If the transfer function of the following network is, the value of the load resistance  is

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 by         

The time domain behaviour of an RL circuit is represented by         

For an initial current of , the steady state value of the current is given by

In the following circuit, the switch S is closed at t=0. The rate of change of current  is given by

The Thevenin’s equivalent impedance  between the nodes P and Q in the following circuit is

The driving point impedance of the following network

Is given by.The component values are

The circuit shown in the figure is used to charge the capacitor C alternately from two current sources as indicated. The Switches  and  are mechanically coupled and connected as follows:        

For         ,        

(n = 0, 1, 2,…)          to  and  to

For        ,        

(n = 0, 1, 2,…)          to  and  to .

Assume that the capacitor has zero initial charge. Given that u(t) is a unit step function, the voltage  across the capacitor is given by

The following series RLC circuit with zero initial conditions is excited by a unit impulse function

For t > 0, the output voltage  is  

The following series RLC circuit with zero initial conditions is excited by a unit impulse function

For t > 0, the voltage across the resistor is

In the circuit shown,  is 0 volts at t=0 sec. For t > 0, the capacitor current , where t is in seconds, is given by

The first and the last critical frequencies (singularities) of a driving point impedance function of a passive network having two kinds of elements, are a pole and a zero respectively. The above property will be satisfied 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 current is:

In the figure shown below, assume that all the capacitors are initially uncharged. If Volts, is given by

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

The first and the last critical frequency of an RC-driving point impedance function must respectively be

A square pulse of 3 volts amplitude is applied to C-R circuit shown in figure. The capacitor is initially uncharged. The output voltage  at time t=2 sec is

For the R-L circuit shown in Figure, the input voltage. The current i(t) is

The circuit shown in figure has initial current  through the inductor and an initial voltage  across the capacitor. For input v(t) = u(t), the Laplace transform of the current i(t) for  is

The differential equation for the current i(t) in the circuit is

Assume that the switch S is in position 1 for a long time and thrown to position 2 at t = 0.

At , the current  is

Assume that the switch S is in position 1 for a long time and thrown to position 2 at t = 0.

 and  are the Laplace transforms of  and  respectively. The equations for the loop currents  and  for the circuit shown above, after the switch is brought from position 1 to position 2 at t = 0, are

An input voltage

  is applied to a series combination of resistance R = 1Ω and an inductance L = 1H. The resulting steady state current i(t) in ampere is

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

The switch in figure has been in position 1 for a long time and is then moved to position 2 at t = 0.

(a) Determine  and

(b) Determine  at

(c) Determine  for t > 0

The circuit shown in figure is operating in steady-state with switch  closed. The switch is opened at t=0.  

In the circuit of Figure, the voltage v(t) is

For the circuit in Figure

For the circuit in Figure, write the state equations using  and  as state variables.

The network N in Figure consists only of two elements: a resistor of  and an inductor of L Henry. A 5 V source is connected at the input at t = 0 seconds. The Inductor current is zero at t = 0. The output voltage is found to be ,                 

In the circuit of Figure, the switch‘S’has remained open for a long time.The switch closes instantaneously at t = 0.         

In the circuit of the figure is the energy absorbed by the  resistor in the time interval  is 

The voltage,  and  across the capacitors in the capacitors in the circuit in the given figure, under steady state, are respectively.        

In the circuit shown in the figure is (a) – (c), assuming initial voltage and capacitors and currents through the inductors to be zero at the time of switching (t=0), then at any time.

(a)

(b)

(c)

(1) Current increases monotonically with time

(2) Current decreases monotonically with time

(3) Current remains constants at V/R

(4) Current first increases then decreases

(5) No current can ever flow

A DC voltage source is connected across a series R-L-C circuit. Under steady-state conditions, the applied DC voltage drops entirely across the

Consider a DC voltage source connected to a series R-C circuit. When the steady-state reaches, the ratio of the energy stored in the capacitor to the total energy supplied by the voltage source, is equal to

A ramp voltage,  volts, is applied to an RC differentiating circuit with  and. The maximum output voltage is

In the following circuit the capacitance varies as, where K is a constant equal to 0.5 Farads/coulomb and Q, the charge on the capacitor in Coulombs. Determine the current through the circuit
and sketch the voltage waveform across the capacitor  for a step input  as shown in figure.          

(a) Find the Laplace transform of the waveform x(t) shown in figure.         

(b) 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 at. Calculate the current i(t) through  after switching.

For the compensated attenuator of figure, the impulse response under the condition  is:

Of the four networks,, ,  and  of figure, the networks having identical driving point functions are         

The necessary and sufficient condition for a rational function of s. T(s) to be driving point impedance of an RC network is that all poles and zeros should be