Network Analysis (EX-304) - Important Questions

Define and explain basic network topology concepts such as graph, oriented graph, tree, co-tree, twigs, links, branch, tie-set, cut-set and dual networks with examples

Find mesh currents / branch current or voltage in a circuit using mesh analysis.

Find node voltages / branch current in a circuit using nodal analysis.

Write short notes on incidence matrix / cut-set matrix and related theorems and two-port parameters

State and explain Kirchhoff's current law (KCL) and voltage law (KVL) with an example.

An R-C series circuit is suddenly excited by a step voltage $V$; derive the current as a function of time and sketch current vs time.

Explain series resonance and parallel resonance with frequency response characteristics.

Explain the characteristics of basic circuit elements R, L, and C. Discuss linearity, time dependency, and the voltage-current relationships of each element in detail.

Explain transients and derive the transient response of RC and RL circuits for step input excitation.

Define incidence matrix and find/write the complete incidence matrix for the given graph

Write short notes on any two:

Draw the parallel resonant circuit and derive the expression for resonant frequency.

Find current or voltage in a circuit using the superposition theorem (numerical problem).

State and explain Norton's theorem with suitable example

Find the load resistance/impedance for maximum power transfer using Thevenin equivalent and calculate the maximum power transferred/absorbed.

Find Thevenin equivalent circuit and load voltage / current / power using Thevenin's theorem (numerical application)

State and prove/derive the maximum power transfer theorem and the condition for maximum power transfer in DC and AC circuits.

Explain Millman's theorem and Tellegen's theorem and discuss their significance in network analysis.

Verify Tellegen's theorem for a given circuit.

State and explain the maximum power transfer theorem for a DC network.

Find current / Norton equivalent circuit using Norton's theorem (numerical application)

State and explain Thevenin's theorem with an example

State and explain Tellegen's theorem with a suitable example.

Show that the efficiency of the circuit is $50\%$ under the condition of maximum power transfer.

Using Laplace transform, find the transient current $i(t)$ in a switched circuit with initial conditions / steady state at $t=0^-$.

Write the time-domain expression for the given waveform occurring once and find its Laplace transform $V(s)$.

Find $i(0^+)$ using the initial value theorem for $I(s) = \frac{2s+3}{(s+1)(s+3)}$

State and explain the initial value theorem and final value theorem

Define, state and prove the initial value theorem and final value theorem for Laplace transforms

Find the Laplace transform of the signal $x(t)=t e^{-2|t|}$ and determine its ROC.

Determine both initial and final values from given $I(s)$ using initial and final value theorems

For an RC series circuit with sinusoidal excitation $V(t)=V_m \sin \omega t$ applied at $t=0$, derive the transient current using Laplace transform.

Verify the final value theorem for given time-domain functions

Determine the trigonometric Fourier series expansion for a given periodic waveform.

Find the exponential Fourier series for a given periodic waveform.

Explain trigonometric and exponential forms of Fourier series, compare them and discuss applications.

Find out the Fourier Transform of $x(t)=e^{-at} u(t)$. Also draw the magnitude and phase spectrum of the output.

Find / obtain the Fourier series expansion for the given periodic waveform shown in the figure.

Determine the Fourier series / Fourier coefficients for the given triangular / train of isosceles triangular waveform, including amplitude and phase spectra where asked.

Obtain the Z-parameters of the given two-port network.

Explain two-port network parameters and derive the equations for ABCD and hybrid parameters.

Obtain the Y-parameters for the given circuit.

Explain poles and zeros of a network function and their significance for system stability and frequency response.

Given Z-parameters of a two-port network, find the ABCD and h-parameters.

Determine the h-parameters of the given two-port network.

Derive expressions for Y-parameters in terms of ABCD parameters of a two-port network.

Define H-parameters and establish the relation between H-parameters and ABCD parameters.

Given two-port equations, determine mixed parameters $y_{11}, z_{12}, h_{21}$ and C.

Obtain both the impedance (Z) and admittance (Y) parameters for the given two-port network.

Draw the pole-zero diagram for $I(s) = 20s/[(s+5)(s+2)]$ and obtain $i(t)$.

Find the transmission (ABCD) parameters of the given two-port network.

Write a short note on any Two: