B. Tech E&I Semester 3 Network Theory Exam

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Questions and Answers

What is a non-linear network?

A network whose parameters are not constant with respect to voltage or current.

What is a passive network?

A network that does not contain any independent sources of energy.

What is a distributed network?

A network whose parameters are distributed over a continuous region of space.

What are the different types of energy sources?

<p>Ideal and non-ideal</p> Signup and view all the answers

What is node analysis?

<p>A method of analyzing circuits by applying Kirchhoff's Current Law (KCL) at each node of the circuit.</p> Signup and view all the answers

State the maximum power transfer theorem.

<p>Maximum power is transferred from a source to a load when the load resistance is equal to the source resistance.</p> Signup and view all the answers

How can you obtain delta network impedances from star network impedances?

<p>Using delta-star conversion formulas.</p> Signup and view all the answers

State and prove the superposition theorem.

<p>In a linear circuit with multiple independent sources, the total response of the circuit is the sum of the responses due to each individual source acting alone, with all other sources turned off.</p> Signup and view all the answers

What are the properties of Laplace transform?

<p>Linearity, Time-invariance, Time-scaling, Differentiation in the s-domain, Integration in the s-domain, Initial value theorem, Final value theorem, Shifting theorem, Convolution theorem.</p> Signup and view all the answers

What is the transient and steady-state response for an RC circuit?

<p>Transient response is the temporary behavior of the circuit as it transitions to a new equilibrium state after an input change. Steady-state response is the long-term behavior of the circuit once the transient response has died out.</p> Signup and view all the answers

What is the significance of general and particular solutions?

<p>General solutions represent the total response of a circuit, including both the transient and steady-state components. Particular solutions represent the steady-state response of the circuit.</p> Signup and view all the answers

Explain the condition of symmetry in Y parameters.

<p>Y parameters are symmetric when Y12=Y21.</p> Signup and view all the answers

Explain Z parameters in detail.

<p>Z parameters represent the impedance characteristics of a two-port network. Z11 is the impedance seen at port 1 when port 2 is open-circuited. Z22 is the impedance seen at port 2 when port 1 is open-circuited. Z12 is the transfer impedance from port 2 to port 1, and Z21 is the transfer impedance from port 1 to port 2.</p> Signup and view all the answers

What is parallel resonance?

<p>It occurs in a circuit with a parallel combination of inductor and capacitor. At resonance, the impedance of the circuit is maximum, resulting in a current minimum.</p> Signup and view all the answers

What are the parameters related to filter?

<p>The frequency response, the cut-off frequency, and the pass band.</p> Signup and view all the answers

Explain low pass filter in detail.

<p>Low pass filters allow signals below a specific cut-off frequency to pass through while attenuating signals above that frequency. They can be implemented using passive components like resistors, capacitors, and inductors.</p> Signup and view all the answers

Flashcards

Non-Linear Network

A network containing at least one non-linear element, where the relationship between voltage and current is not linear.

Passive Network

A network composed entirely of passive elements (resistors, capacitors, inductors) that cannot generate energy but can store energy.

Distributed Network

A network where the electrical properties vary with position and time, meaning the parameters cannot be concentrated at specific locations.

Ideal Voltage Source

A source that can supply an unlimited amount of energy without any internal resistance or voltage drop.

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Ideal Current Source

A source that can supply an unlimited amount of current without any internal resistance or change in voltage.

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Non-Ideal Voltage Source

A source that has a limited ability to supply energy due to internal resistance or voltage drop.

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Non-Ideal Current Source

A source that has a limited ability to supply current due to internal resistance or change in voltage.

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Node Analysis

A method of analyzing a circuit by applying Kirchhoff's Current Law (KCL) at each node in the circuit. The node equations are then solved to determine the unknown node voltages.

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Maximum Power Transfer Theorem

This theorem states that when transferring power from a source to a load, maximum power is delivered to the load when the load impedance is matched or the complex conjugate of the source impedance, leading to the most efficient power transfer.

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Wye-Delta Transformation

A method of circuit analysis that involves finding the equivalent impedance of a circuit by converting a star network to a delta network or vice versa. This is helpful in simplifying complex circuits.

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Superposition Theorem

A method of circuit analysis that states that the total current through a linear circuit is equal to the sum of the currents that would flow if each source were considered independently with all other sources set to zero.

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Laplace Transform

A mathematical tool used to analyze and solve linear circuits by transforming time-domain functions into frequency-domain functions, simplifying the calculation and understanding of the circuit's behavior.

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Transient Response

The initial response of a circuit to a change in input, usually represented as an exponential function, which indicates how quickly the system reacts to the change.

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Steady State Response

The steady-state response of a circuit to a change in input, usually represented by a constant or periodic function, describing the long-term behavior of the circuit after transients have settled.

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Unit Ramp Signal

A function representing a gradual, linear increase in value over time. It is used in circuit analysis to represent a constant rate of change in voltage or current.

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Unit Impulse Signal

A function representing a concentrated spike of short duration. It has an infinite amplitude and a zero duration, indicating instantaneous change.

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Unit Step Signal

A function representing a constant value of 1 starting from a certain time point. It's used to represent a sudden change in input or output.

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Unit Step Function

A function representing a constant value of 0 for negative times and a constant value of 1 for positive times. It is used to model the onset of signals or changes in systems.

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General Solution

The solution to a differential equation representing the behavior of a circuit that is independent of the initial conditions. It describes the general trend of the system's response.

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Particular Solution

The solution to a differential equation representing the behavior of a circuit that accounts for the specific initial conditions of the system. It describes the exact response of the system based on its starting point.

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Y Parameters

The parameters that describe the relationship between the input and output voltages and currents of a two-port network. Y parameters represent the admittance matrix, which is the inverse of the impedance matrix (Z parameters).

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Z Parameters

The parameters that describe the relationship between the input and output voltages and currents of a two-port network. Z parameters represent the impedance matrix, which is the inverse of the admittance matrix (Y parameters).

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Parallel Resonance

A type of resonance that occurs in a parallel RLC circuit, characterized by impedance reaching a maximum value at resonant frequency. The current is minimum at resonance, with voltage maximized.

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Frequency Response

The graph of the amplitude of the output signal of a filter as a function of frequency.

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Cut-Off Frequency

The frequency at which a filter's output signal falls to 3 dB below its maximum value. It defines the boundary between the passband and stopband.

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Pass Band

The range of frequencies that a filter allows to pass through with minimal attenuation. It typically describes the frequencies where the signal is least distorted.

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Low Pass Filter

A type of filter that passes low-frequency signals and attenuates high-frequency signals. It is characterized by a gradual roll-off in the stopband.

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Capacitance

The ability of a circuit to store energy in an electric field. It is measured in Farads.

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Inductance

The property of a circuit to resist changes in current flow. It is measured in Henries.

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First Order Circuit

A type of circuit that has a single energy storage element (capacitor or inductor). It can be characterized by a single time constant, determining its response time.

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Second Order Circuit

A type of circuit that has two energy storage elements (capacitor and inductor). It can be characterized by two time constants, determining its more complex response time.

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Study Notes

Winter Examination - 2022-23

  • Course: B. Tech
  • Branch: E&I
  • Semester: 3
  • Subject: BTEIC_302 & NETWORK THEORY
  • Max Marks: 60
  • Date: 11.03.23
  • Duration: 3 Hrs

Instructions to Students

  • All questions are compulsory.
  • Question level/course outcome (CO) is indicated in parentheses.
  • Non-programmable scientific calculators are allowed.
  • Assume reasonable data as needed and clearly state assumptions.

Question 1 - Solve Any Two

  • A) Define:
    • Non-Linear Network
    • Passive Network
    • Distributed Network
  • B) Explain: Energy source classification
  • C) Explain: Node analysis in detail, including an example.

Question 2 - Solve Any Two

  • A) Explain: Maximum power transfer theorem with an example
  • B) Discuss: Obtaining delta network impedances from a star network.
  • C) State and Prove: Superposition theorem

Question 3 - Solve Any Two

  • A) List: Properties of Laplace transform
  • B) Explain: Transient and steady-state response for RC circuit with unit ramp and impulse inputs
  • C) Discuss: Significance of general and particular solutions

Question 4 - Solve Any Two

  • A) Explain: Symmetry conditions in Y parameters
  • B) Explain: Z parameters in detail
  • C) Obtain: Laplace transform of unit step and unit ramp signals

Question 5 - Solve Any Two

  • A) Explain: Parallel resonance in detail
  • B) Explain: Filter parameters including frequency response, cut-off frequency, and pass band
  • C) Explain: Low-pass filter in detail

Additional Examination Information (from subsequent pages)

  • Course: B. Tech

  • Branch: Electrical Engineering and Allied Branches

  • Subject: Network Theory

  • Date: 12/08/2022

  • Semester: IV

  • Duration: 3.45 Hrs. (or 3 Hrs, depending on the exam)

  • Additional Instructions are consistently listed: Compulsory questions, clear mention of expected answers, use of scientific calculators, and data assumption as required

  • Specific questions topics (e.g., KVL, KCL, Thevenin's theorem, short circuits, open circuits, linear/nonlinear elements, unilateral/bilateral elements, energy source types, symmetry/reciprocity conditions of Z-parameters) are included.

  • Various problem-solving examples/circuits are also referenced.

  • Exam format consistently lists sections for solving problems or specific tasks. These include finding equivalent resistances, analyzing circuits, explaining different network theorems, calculating current given circuits, understanding concepts of filters.

  • Frequency response, bandwidth calculation, resonance, and different circuit types (RC, RL, RLC circuits) are covered.

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