List of top Analog Electronics Questions

For the circuit shown in the figure, the source frequency is 5000 rad/sec. The mutual inductance between the magnetically coupled inductors is \( 5 \, \text{mH} \) with their self-inductances being \( 125 \, \text{mH} \) and \( 1 \, \text{mH} \). The Thevenin's impedance \( Z_{th} \), between the terminals \( P \) and \( Q \) in \( \Omega \) is \_\_\_\_\_\_ (rounded off to 2 decimal places).
\includegraphics[width=0.5\linewidth]{49.png}

Two passive two-port networks \( P \) and \( Q \) are connected as shown in the figure. The impedance matrix of network \( P \) is \( Z_P = \begin{bmatrix} 40 \, \Omega & 60 \, \Omega
80 \, \Omega & 100 \, \Omega \end{bmatrix} \). The admittance matrix of network \( Q \) is \( Y_Q = \begin{bmatrix} 5 \, S & -2.5 \, S
-2.5 \, S & 1 \, S \end{bmatrix} \). Let the ABCD matrix of the two-port network \( R \) in the figure be \( \begin{bmatrix} \alpha & \beta
\gamma & \delta \end{bmatrix} \). The value of \( \beta \) in \( \Omega \) is \_\_\_\_\_\_ (rounded off to 2 decimal places).
\includegraphics[width=0.5\linewidth]{48.png}

In the circuit shown, \( Z_1 = 50 \angle -90^\circ \, \Omega \) and \( Z_2 = 200 \angle -30^\circ \, \Omega \). It is supplied by a three-phase 400 V source with the phase sequence being R-Y-B. Assume the wattmeters \( W_1 \) and \( W_2 \) to be ideal. The magnitude of the difference between the readings of \( W_1 \) and \( W_2 \) in watts is \_\_\_\_\_\_ (rounded off to 2 decimal places).
\includegraphics[width=0.5\linewidth]{50.png}

Consider the complex function \( f(z) = \cos z + e^{z^2 \). The coefficient of \( z^5 \) in the Taylor series expansion of \( f(z) \) about the origin is \_\_\_\_\_ (rounded off to 1 decimal place).}

To obtain the Boolean function \( F(X, Y) = XY + \overline{X \), the inputs \( P, Q, R, S \) in the figure should be:}
\includegraphics[width=0.5\linewidth]{26.png}

In the circuit, the present value of \( Z \) is 1. Neglecting the delay in the combinational circuit, the values of \( S \) and \( Z \), respectively, after the application of the clock will be:
\includegraphics[width=0.5\linewidth]{25.png}

Consider the cascaded system as shown in the figure. Neglecting the faster component of the transient response, which one of the following options is a first-order pole-only approximation such that the steady-state values of the unit step response of the original and the approximated systems are the same?
\includegraphics[width=0.5\linewidth]{22.2.png}

Simplified form of the Boolean function: \[ F(P, Q, R, S) = \overline{P}\overline{Q}R + \overline{P}QS + PQ\overline{R}S \] is:

Consider the standard second-order system of the form: \[ \frac{\omega_n^2}{s^2 + 2\xi\omega_n s + \omega_n^2}, \] with the poles \(p\) and \(p^*\) having negative real parts. The pole locations are also shown in the figure. Now consider two such second-order systems as defined below: System 1: \( \omega_n = 3 \, \text{rad/sec} \) and \( \theta = 60^\circ \). System 2: \( \omega_n = 1 \, \text{rad/sec} \) and \( \theta = 70^\circ \). Which one of the following statements is correct?
\includegraphics[width=0.5\linewidth]{22.png}

The figure shows the single-line diagram of a 4-bus power network. Branches \( b_1, b_2, b_3 \), and \( b_4 \) have impedances \( 4z, z, 2z \), and \( 4z \) per-unit (pu), respectively, where \( z = r + jx \) with \( r>0 \) and \( x>0 \). The current drawn from each load bus (marked as arrows) is equal to \( 1 \, \text{pu} \), where \( I \neq 0 \). If the network is to operate with minimum loss, the branch that should be opened is:
\includegraphics[width=0.5\linewidth]{19.png}

For the block diagram shown in the figure, the transfer function \( \frac{C(s){R(s)} \) is:}
\includegraphics[width=0.5\linewidth]{20.png}

Which one of the following options represents possible voltage polarities in a single-phase two winding transformer? Here, \( V_p \) is the applied primary voltage, \( E_p \) is the induced primary voltage, \( V_s \) is the open circuit secondary voltage, and \( E_s \) is the induced secondary voltage.

In the specific band of frequencies their is no need to change the components in the circuit. It is known as:

The value of V_o(t) for given V_i(t) in the inverting amplifier is:

Given below are two statements:
Statement-I: In the fixed-bias configuration of an n-p-n, BJT operating in the active regime, the magnitude of collector current does not depend on $R_c.$ (See the figure)
Statement-II: In the fixed-bus configuration shown in figure, base current is controlled by $R_B$. 
In the light of the above statements, choose the correct answer from the options given below.

Given below are two statements, one is labelled as Assertion (A) and the other is labelled as Reason (R):
Assertion (A): Emitter-follower configuration of BJT is used for impedance- matching applications.
Reason (R) : In a common-collector configuration of BJT, the output voltage at the emitter is in phase with input signal. 
In the light of the above statements, choose the correct answer from the options given below.

A superheterodyne receiver to operate in the frequency range 550 kHz to 1500 kHz and the IF is 455 kHz. What is the possible tuning range of local oscillator frequency?

The characteristics of an ideal op-amp are (where BW = Bandwidth, SR = Slew Rate)

If V₁=Sin (2x10³t) sinusoidal signal is applied at the input of an op-amp differentiator circuit then the output voltage is given as:- (Given R=1.5 kΩ and C=0.1 µF).

Match List-I and List-II

LIST I (Type of Oscillators)		LIST II  (Frequency Range)
A.	Audio Frequency(AF) oscillators	I.	20KHZ-30MHZ
B.	Radio Frequency(RF) oscillators	II.	1.5MHZ-30MHZ
C.	Video Frequency(VF) oscillators	III.	20HZ-20KHZ
D.	High Frequency(HF) oscillators	IV.	dc-5MHZ

Choose the correct answer from the options given below:

Match List-I and List-II

LIST I (Nature of Response)		LIST II  (Condition for Response)
A.	Steady-state response	I.	Sum of steady-state and transient response
B.	Transient response	II.	Response of a system for impulse input
C.	Total response	III.	Part of response which approaches zero as \(t\rightarrow \infin\)
D.	Impulse response	IV.	Part of response which does not approach zero as \(t\rightarrow \infin\)

Choose the correct answer from the options given below: