ELE 314 Network Theorems Quiz

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Questions and Answers

What is one of the factors on which the classification of electrical networks is based?

  • Properties of circuit elements (correct)
  • Aesthetic design of circuits
  • Cost of circuit elements
  • Type of insulation used

Which of the following circuit elements is NOT mentioned as part of the classification of electrical networks?

  • Diode
  • Inductor
  • Resistor (correct)
  • Transistor

In the superposition theorem, what should be done with other sources when considering one voltage or current source?

  • Add their values to the active source
  • Replace them with their internal impedance (correct)
  • Ignore them completely
  • Remove them from the circuit

Which of the following is an example of a network mentioned in the outline?

<p>Rectifier Circuits (C)</p> Signup and view all the answers

What principles are used to classify the first three types of networks?

<p>Properties of circuit elements (C)</p> Signup and view all the answers

What should ideal voltage sources be replaced with in the application of the superposition theorem?

<p>Short circuits (A)</p> Signup and view all the answers

According to Kirchhoff's current law (KCL), what must be true about the total current at a node?

<p>The total current flowing into a node is equal to the total current flowing out. (B)</p> Signup and view all the answers

In a balanced Wheatstone bridge, what happens to the current through the resistor?

<p>It is zero. (D)</p> Signup and view all the answers

When applying the superposition theorem to a circuit with multiple sources, ideal current sources should be replaced with what?

<p>Open circuits (C)</p> Signup and view all the answers

What is the fundamental principle that Kirchhoff's current law is based upon?

<p>The conservation of electric charge. (B)</p> Signup and view all the answers

In a linear bilateral network, which statement regarding the superposition theorem is accurate?

<p>It is only applicable to linear bilateral networks. (A)</p> Signup and view all the answers

Which scenario accurately describes the behavior of total voltage when both currents are in the same direction?

<p>Total voltage is additive. (D)</p> Signup and view all the answers

For current sources within a circuit, if they are replaced with open circuits, what effect does this have on the circuit analysis?

<p>It allows determination of voltage across remaining elements. (B)</p> Signup and view all the answers

What does Kirchhoff's Voltage Law state about the voltages in a closed loop?

<p>The algebraic sum of every voltage in the loop equals zero. (D)</p> Signup and view all the answers

What is the primary purpose of using Kirchhoff's laws in circuit analysis?

<p>To obtain current values in all branches of the circuit. (D)</p> Signup and view all the answers

How does the conservation of energy relate to Kirchhoff's Voltage Law?

<p>It indicates that energy must be constant in a closed loop. (B)</p> Signup and view all the answers

What happens to the algebraic sum of voltages in a closed loop according to Kirchhoff's Voltage Law?

<p>It equals zero. (C)</p> Signup and view all the answers

Which of the following is a consequence of Kirchhoff's Voltage Law?

<p>Components in parallel share the same voltage. (C)</p> Signup and view all the answers

In an application of Kirchhoff's Voltage Law, what must be accounted for?

<p>The voltage drops across all components in the loop. (B)</p> Signup and view all the answers

What is an essential aspect of Kirchhoff's Voltage Law when analyzing circuits?

<p>It requires the identification of all voltage sources and drops. (B)</p> Signup and view all the answers

Which statement correctly expresses Kirchhoff's Voltage Law in mathematical terms?

<p>$ ext{Sum of } V = 0$ around a closed loop. (A)</p> Signup and view all the answers

Flashcards

Network Classification

Networks can be categorized based on the properties of their components, such as diodes or transistors, or their behavior when subjected to different input signals.

Active Network

A type of network where the components include diodes and transistors, examples include rectifier circuits.

Passive Network

A type of network where the components include resistors, capacitors, and inductors, examples include passive filters.

Superposition Principle

Find the output of a circuit by examining the effect of each source individually while setting the other sources to their internal impedance.

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Superposition Calculation

When calculating circuit behavior, replace all voltage or current sources with their internal impedances to find the effect of each source independently.

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Ideal Sources Replacement

In a circuit, ideal voltage sources are replaced with short circuits, and ideal current sources are replaced with open circuits.

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Superposition Theorem

The superposition theorem applies to linear, bilateral networks. It allows us to analyze a circuit by considering the effects of each source individually and then adding them together.

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Balanced Wheatstone Bridge

A Wheatstone bridge is a circuit with four resistors arranged in a diamond shape. When the bridge is balanced, the voltage across the middle resistor is zero.

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Kirchoff's Current Law (KCL)

Kirchoff's Current Law (KCL) states that the sum of currents entering a node must equal the sum of currents leaving the node.

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Kirchhoff's Voltage Law (KVL)

Kirchhoff's Voltage Law (KVL) states that the algebraic sum of the voltages around any closed loop in a circuit is equal to zero.

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Applying Kirchhoff's Current Law

When applying KCL, identify all the branches connected to a node (junction). Assign a current direction to each branch. The sum of currents entering the node must equal the sum of currents leaving the node.

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Applying Kirchhoff's Voltage Law

When applying KVL, choose a loop in the circuit and trace it in a clockwise or counterclockwise direction. Assign a positive voltage to voltage rises ( going from negative to positive terminal) and a negative voltage to voltage drops (going from positive to negative terminal). The algebraic sum of these voltages will be equal to zero.

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Solving circuit equations

A set of simultaneous equations derived from KCL and KVL can be used to find the current values in each branch of the circuit.

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Internal impedance in superposition

Internal impedance is the resistance of a power source. In circuit analysis using superposition, we replace each source with its internal impedance while analyzing the effect of other sources.

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Study Notes

Network Theorems

  • ELE 314 course covers network theorems
  • Outline includes classification of networks, superposition, Kirchhoff's laws, Thevenin, Norton, reciprocity, and homogeneity

Classification of Electrical Networks

  • Classification is based on two aspects: properties of circuit elements and response to different excitations
  • Active and passive networks: Active elements deliver energy; passive elements receive energy
  • Unilateral and bilateral networks: Bilateral elements allow current flow in both directions; unilateral elements only allow current flow in one direction
  • Lumped and distributed networks: Lumped networks have components that are physically separable; distributed networks have components distributed along the network (e.g., a transmission line)
  • Linear and non-linear networks: Linear networks maintain proportionality between input and output responses; non-linear networks do not (proportional characteristics may change with change in input or output).
  • Time-invariant and time-variant networks: Time-invariant networks have characteristics that do not change over time; time-variant networks have characteristics that change with time.

Superposition Theorem

  • Applicable to linear, bilateral networks with multiple independent sources
  • Replace all but one source at a time and find response
  • Sum responses from each source to determine the total response

Kirchhoff's Laws

  • Current Law (KCL): The algebraic sum of currents entering and leaving a node is zero.
  • Voltage Law (KVL): The algebraic sum of voltage drops around any closed loop is zero.

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