Network Theory ...

For the circuit shown in the figure, the steady-state response v₀(t) is given by:

Under steady-state condition, the energy stored in the circuit is:

In the following circuit (Fig.) i(t) under steady state is

In the given circuit, the AC source has ω = 100 rad / s. Considering the inductor and capacitor to be ideal, the correct choice (s) is (are)

Consider the voltage and current expressions across a load as given below

v = -100 cos (314 t + 15°)

i = 50 sin (314 t - 45°)

Then the active power delivered to the load is:

What is the voltage across the capacitor at resonance?

Consider the circuit, consisting of an AC function generator V(t) = V₀ sin 2πft with V₀ = 5 V, an inductor L = 8 mH, resistor R = 5 Ω and a capacitor C = 100 μF. Which of the following statements are true if we vary the frequency?

The low-frequency circuit impedance and the high-frequency circuit impedance for a series resonant circuit respectively are

The following circuit (shown in Figure) resonates at

The response of a series RLC circuit fed from a fixed rms voltage and variable frequency source is represented graphically in the given figure. Match List - I with List –II and select the correct answer using the codes gives below the lists:

Let the resonant frequency of the circuit A is ω_A­ and the circuit B is ω_B as shown in the figure.

Which of the following statement is true?

A parallel circuit has two branches. In one branch R and L are in series and in the other branch R and C are in series. The circuit will exhibit unity power factor when

For the circuit given below, R = 2.4 kΩ, C = 50 pF, and L = 2 μH. The smallest permissible value of the load resistor R_L so that the quality factor of the circuit is not to drop below 7.5, is ______

Determine the resonant frequency (in mHz) for t > 0 of the network shown below

Consider the RLC network shown in the figure below.

The resonant frequency (ω₀) of the above network is given by

The response of the capacitor voltage in a series RC circuit is shown below:

Which of the following represents the correct transient equation for the capacitor voltage?

In the circuit shown below, the initial capacitor voltage is 4V. Switch S₁ is closed at t = 0. The charge (in μC) lost by the capacitor from t = 25 μs to t = 100 μs is ____________.

The time constant of the network shown in the figure below is

In the given circuit, find the current I in the 3-kΩ resistor at time t = 2 sec.

Two inductors L₁ (inductance 1mH, internal resistance 3Ω) and L₂ (inductance 2mH, internal resistance 4Ω) and a resistance R (resistance = 12Ω) are connected in parallel across a 5V battery. The circuit is switched on at time t = 0, the ratio of maximum to minimum current (I_max/I_min) drawn from the battery is:

In the circuit shown below, the current excitation is i_s(t) = 5 u(-t) A. The current i_L(t) for t ≥ 0 is _____.

In the circuit shown below, a step input voltage of magnitude 5 V is applied at node A at time t = 0. If the capacitor has no charge for t < 0, the voltage at node P at t = 6 μs is ________ V. (Answer should be rounded off to two decimal places)

In the circuit shown below, find out the value of i(0⁺) and  If switch is closed at t = 0 -

In the circuit shown below, the switch S is closed at t = 0 and opened again at t = π sec. Prior to closing the switch at t = 0, V_c1 = 10 V while L and C₂ do not have any stored energy. Find the voltages V_c1 and V_c2 at t = π sec. C₁ and C₂ = 1 F, L = 2 H

For the circuit shown below v(t) = 10e^-4t V and i(t) = 0.2e^-4t A, then the time in (ms) taken by capacitor to dissipate 50% of its initial energy is: