Network Analysis (EC-305) - Important Questions

Draw parallel resonant circuit and derive the expression for resonant frequency / prove parallel resonance.

Find the voltage across the dependent current source in the given circuit.

Discuss dot Convention used in Magnetically coupled Circuits with suitable example.

Find the capacitance for resonance at 5 kHz when $Z_1 = 10+j10\ \Omega$ is in parallel with $8.5\ \Omega$ in series with a variable capacitor.

State and prove the resonance condition for an RLC series circuit.

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

Calculate the current in the $3\Omega$ resistor for the given circuit.

Three impedances of $(70.7 + j70.7)\text{ Ohm}$, $(120 + j160)\text{ Ohm}$ and $(120 + j90)\text{ Ohm}$ are connected in parallel across a $250\text{ V}$ supply. Determine i) Admittance of the circuit ii) Supply current iii) Circuit power factor

Explain mesh analysis and nodal analysis with example.

What is resonance? Explain the parallel resonance condition with circuit diagram and equations.

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

Numerical on series RLC circuit at resonance to find R, L, C and Q-factor.

Write the tie-set matrix for the given twigs and determine the loop currents and branch currents.

Draw the oriented graph of the given network and formulate the cut-set matrix.

Explain the following with suitable example:

i) Sub graph ii) Connected graph iii) Planar graph iv) Tree and Co-Tree

Write the tie-set matrix for given twigs and determine the loop currents and branch currents.

Explain tree and co-tree, twigs and links, and incidence matrix with an example.

Draw the graph, one tree and its co-tree for a given circuit.

Explain the concept of principle of duality. Also draw the Dual Circuit of Parallel RLC circuit with Current Source.

Define/explain complete incidence matrix (and reduced incidence matrix) with example/diagram and obtain it for a given graph

Define and explain graph and subgraph, oriented graph, tree of a graph, and twigs and links with examples

Determine the value of $R_L$ for maximum power transfer and calculate the maximum power absorbed by $R_L$.

Find the current I in the given circuit and verify the reciprocity theorem numerically.

Apply the superposition theorem to find the required current or voltage in a given circuit.

Find Norton's equivalent circuit across AB / current through AB using Norton's theorem.

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

Write short notes on any two of the following: a) Tellegen's theorem b) Hybrid parameters c) Millman theorem

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

Find the current in a specified resistor/branch using Thevenin's theorem.

State and prove the superposition theorem.

State/explain and prove the maximum power transfer theorem and derive the power expression, with example.

Find the current through a specified branch using Norton's theorem.

Find $V_{ab}$ using the superposition theorem.

Circuit in steady state before $t=0$, switch position changed at $t=0$; find the transient current $i(t)$ / $I(t)$.

Using Laplace transform (S-domain circuit) find the transient current/voltage response $i(t)$ or $v_c(t)$ for a switched circuit with initial energy storage closed at $t=0$.

Switch moved after long steady state with uncharged $C_2$ at $t=0$; find particular solutions for $i(t)$ and $v_2(t)$ for $t>0$.

Switch in position 1 for long time and moved to position 2 at $t=0$; find capacitor voltage $v_c(t)$ for $t>0$.

A $200\Omega$ resistor is in series with an inductor L. The initial value of the inductor current is $5\text{ mA}$ and its value after $5\text{ms}$ is $3\text{ mA}$. Find the time constant and the inductance.

State and explain Initial Value and Final value theorem

Find the inductor current $i(t)$ / $I(t)$ for $t>0$ in an RL circuit after switching following steady state

Find the capacitor voltage $v_c(t)$ / $V_c(t)$ for $t>0$ after switching

At time $t_0$ after the switch was closed with $v_2 = +5V$, determine $i_2(t_0)$ and $\dfrac{di_2}{dt}(t_0)$.

Determine the capacitor voltage $v_c(t)$ with given initial voltage using Laplace transform and draw the S-domain circuit.

Determine the circuit current $i(t)$ for the applied voltage pulse $v(t)$

Discuss the step response of an RC circuit using Laplace transform.

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

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

Define Z and Y parameters of a two-port network and derive the relationship between them.

Obtain the Z-parameters and Y-parameters of the given network, and check for reciprocity and symmetry where asked.

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

Explain Y-parameters in detail and derive conditions for reciprocity and symmetry.

Derive hybrid (h) parameters in terms of Z-parameters for a two-port network.

Find the Y-parameters of the given circuit.

Define hybrid parameters and establish the relation between hybrid parameters and ABCD parameters.

Write a short notes on any two:

i) Image Parameter ii) Steady State Analysis iii) Controlled and un controlled sources iv) Dual Networks

Write a short notes on any Two: