In the following graph, the number of trees (P) and the number of cut-set (Q) are

The equivalent inductance measured between the terminals 1 and 2 for the circuit shown in the figure is

How much current will flow in a 100 Hz series RLC circuit, if V_S = 20 V, R_T = 66 ohms and X_T = 47 ohms?

In the circuit shown below, the network N is described by the following Y matrix:

Y = $\left[ \begin{array} \ 0.1S & -0.01S \\ 0.01S & 0.1S \end{array} \right]$. The voltage gain $\dfrac{V_2}{V_1}$is

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

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 sec is

Two series resonant filters are as shown in the figure. Let the 3-dB bandwidth of Filter 1 be B₁ and that of Filter 2 be B₂. The value of $\dfrac{B_1}{B_2}$ is

For the circuit shown in the figure, the time constant RC = 1 ms. The input voltage is v₁ (t) = ^{$\sqrt 2$}sin 10³t. The output voltage v₀ (t) is equal to

For the lattice shown in the figure, Z_a = j2^$\Omega$ and Z_b = 2^$\Omega$. Calculate the values of the open circuit impedance parameter [z] = ^{$\left[ \begin{array} \ Z_{11} & Z_{12} \\ Z_{21} & Z_{22} \end{array} \right]$}.

The impedance parameters Z11 and Z12 of the two-port network in figure are

In the circuit given below, what value of R_L maximizes the power delivered to R_L?

In the figure shown below, assume that all the capacitors are initially uncharged. If v_i (t) = 10u (t ) Volts, v₀ (t) is given by

The transfer function H(s) = $\dfrac{V_0 (s)}{V_i (s)}$ of an RLC circuit is given by H(s) = $\dfrac{10^6}{s^2 + 20s + 10^6}$ The Quality factor (Q-factor) of this circuit is

A two port network is represented by ABCD parameters given by $\left[ \begin{array} \ V_1 \\ I_1 \end{array} \right] $$\left[ \begin{array} \ A & B\\ C & D \end{array} \right] $$\left[ \begin{array} \ V_2 \\ -I_2 \end{array} \right] $ If port-2 is terminated by R_L, the input impedance seen at port-1 is given by

The maximum power that can be transferred to the load resistor R_L of 100$\Omega$ from the voltage source of 5 V is __________

If R₁ = R₂ = R₄ and R₃ = 1. 1R in the bridge circuit shown in figure, then the reading in the ideal voltmeter connected between a and b is

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

The impedance looking into nodes 1 and 2 in the given circuit is

For the circuit shown in figure, Thevenin's voltage and Thevenin's equivalent resistance at terminals a - b is

Twelve 1$\Omega$ resistances are used as edges to form a cube. The resistance between two diagonally opposite corners of the cube is

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 mechanically coupled and connected as follows: For 2nT $\le$ t $\le$ (2n + 1) T, (n = 0, 1, 2, ...) S₁ to P₁ and S₂ to P₂ For (2n + 1) T $\le$ t $\le$ (2n + 2) T, (n = 0, 1, 2, ...) S₁ to Q₁ and S₂ to Q₂

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

An input voltage v(t) = 10^{$\sqrt 2$} cos(t+10⁰) + 10^{$\sqrt 3$} cos (2t+10^o)V is applied to a series combination of resistance R = 1 _^$\Omega$ and an inductance L = 1 H. The resulting steady state current i(t) in ampere is