Electronics Chapter 5 Quiz

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Questions and Answers

What is the Thevenin equivalent voltage (VTH) across terminals A and B?

  • 35 V
  • 0 V
  • -21 V (correct)
  • 21 V

What is the Thevenin equivalent resistance (RTH) between terminals A and B?

  • 2 Ω
  • 4 Ω (correct)
  • 12 Ω
  • 6 Ω

Using Thevenin's theorem, what is the current (I3) flowing through the 3-Ω resistor at terminal B?

  • 3 A
  • −1.5 A
  • 0 A
  • -3 A (correct)

Which equation represents the application of KVL to loop dcbed in the problem?

<p>35 + VTH = 6I (D)</p> Signup and view all the answers

Which method is primarily used to determine the equivalent circuit presented by terminals A and B?

<p>Thevenin’s Theorem (B)</p> Signup and view all the answers

What is the expression for the energy stored in a capacitor?

<p>$W_c = \frac{1}{2} C \cdot V^2$ (C)</p> Signup and view all the answers

Which of the following is the correct formula for power in a capacitor?

<p>$p = v \cdot i$ (C)</p> Signup and view all the answers

What is the physical interpretation of self-induced emf in an inductor?

<p>It opposes changes in current flow through a conductor. (A)</p> Signup and view all the answers

What is the unit of measure for inductance?

<p>Henrys (H) (C)</p> Signup and view all the answers

How does an ideal inductor behave with respect to energy?

<p>It stores energy in the magnetic field. (D)</p> Signup and view all the answers

According to Faraday's law, what does the term $L$ represent?

<p>The inductance of the coil (B)</p> Signup and view all the answers

What is the correct mathematical representation of the voltage associated with a changing current in an inductor?

<p>$v = L \cdot \frac{di}{dt}$ (B)</p> Signup and view all the answers

Which characteristic makes the ideal capacitor's physical proposition unrealistic?

<p>The absence of series resistance (D)</p> Signup and view all the answers

For resistors in series, what is true about the equivalent resistance?

<p>It is the sum of the individual resistors. (C)</p> Signup and view all the answers

In a parallel circuit, what characteristic do all parallel-connected resistors share?

<p>They have the same voltage across their terminals. (D)</p> Signup and view all the answers

What is the effect on equivalent resistance when resistors are added in parallel?

<p>It decreases and is always smaller than the smallest resistor. (C)</p> Signup and view all the answers

Which equation correctly represents the equivalent resistance for three resistors in series?

<p>$R_{eq} = R_1 + R_2 + R_3$ (C)</p> Signup and view all the answers

Which formula represents the equivalent resistance in a parallel connection of resistors?

<p>$\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2} + \frac{1}{R_3}$ (C)</p> Signup and view all the answers

If two resistors with resistances of 4 ohms and 6 ohms are connected in series, what is their equivalent resistance?

<p>10 ohms (C)</p> Signup and view all the answers

What happens to the equivalent resistance when a third resistor is added in parallel to two resistors already in parallel?

<p>The equivalent resistance decreases. (B)</p> Signup and view all the answers

Which of the following statements is false about effective circuit resistance?

<p>It is always larger than any individual resistance in a parallel connection. (B)</p> Signup and view all the answers

In the given circuit, if the voltage across a 3Ω resistor is 6V, what is the current flowing through it?

<p>2A (A)</p> Signup and view all the answers

What is the equivalent resistance of resistors R1 (4Ω) and R2 (1Ω) in series before connecting to the 25V source?

<p>5Ω (B)</p> Signup and view all the answers

What does VTH represent in Thevenin's theorem?

<p>Open-circuit voltage across the terminals (B)</p> Signup and view all the answers

Using Kirchhoff’s Current Law, if currents i1, i3, and i5 are known, how would you express the total current leaving the node?

<p>i2 + i4 (A)</p> Signup and view all the answers

If a total voltage of 25V is applied across six resistors in series, what is the total current (IT) if the total resistance (RT) is 13Ω?

<p>2A (C)</p> Signup and view all the answers

Which step involves marking the terminals after removing a resistor?

<p>Removing the resistor from the circuit (B)</p> Signup and view all the answers

What would be the voltage drop across a 2Ω resistor if the current through it is measured at 3A?

<p>6V (D)</p> Signup and view all the answers

What method is used to deactivate voltage sources when finding RTH?

<p>Short-circuit the voltage sources (A)</p> Signup and view all the answers

What formula is used to calculate the current through the resistor in Thevenin's circuit?

<p>I = VTH / (RTH + R) (B)</p> Signup and view all the answers

Which of the following statements is true regarding measureable current changes at a junction?

<p>The sum of the currents entering must equal the sum leaving. (B)</p> Signup and view all the answers

How is the total resistance of the circuit determined in Thevenin’s theorem?

<p>By analyzing the circuit after deactivating all sources (D)</p> Signup and view all the answers

In a circuit with total resistance of 12Ω and a supply voltage of 25V, what is the current flowing through the circuit?

<p>3.33A (C)</p> Signup and view all the answers

When connecting multiple resistors in parallel, how does it affect the total resistance compared to individual resistances?

<p>The total resistance is always less than the smallest individual resistance. (D)</p> Signup and view all the answers

Which component is NOT included in the Thevenin equivalent circuit representation?

<p>The original circuit components (C)</p> Signup and view all the answers

What is the purpose of finding VTH in the Thevenin's theorem process?

<p>To establish the current through any load resistor (B)</p> Signup and view all the answers

Which of the following is a requirement when using Thevenin's theorem?

<p>Only independent sources are considered (B)</p> Signup and view all the answers

What does the Superposition Theorem state regarding current in a multiple-source linear circuit?

<p>The current through any element can be determined by the algebraic sum of currents from individual sources. (C)</p> Signup and view all the answers

When calculating the total resistance with the 42V battery acting alone in the given example, what is the value of the total resistance?

<p>$14 \Omega$ (B)</p> Signup and view all the answers

In the context of the Reciprocity Theorem, what is the effect of interchanging an ideal ammeter and an ideal voltage source?

<p>The reading of the ammeter remains unchanged. (B)</p> Signup and view all the answers

What is the equivalent resistance (RT) when the 35V battery is acting alone in the given circuit?

<p>$7 \Omega$ (C)</p> Signup and view all the answers

If both batteries are active in the circuit, what is the relationship between IB and IA according to the calculations provided?

<p>IB = IA - 2A (A)</p> Signup and view all the answers

In the given context, which of the following statements about the Superposition Theorem is NOT true?

<p>It can only be used with series circuits. (B)</p> Signup and view all the answers

What is the total current (IT) supplied by the 35V battery in the specified circuit?

<p>5A (C)</p> Signup and view all the answers

The equivalent resistance of combined resistors in parallel can be derived using what formula?

<p>$\frac{1}{R} = \frac{1}{R_1} + \frac{1}{R_2}$ (C)</p> Signup and view all the answers

When using the Superposition Theorem, how do you determine the contribution of each source?

<p>By analyzing each source independently and summing their individual effects. (B)</p> Signup and view all the answers

Flashcards

Energy transferred to capacitor

The work done by the battery charging the capacitor, given by Wc = 1/2 C V^2.

Capacitor Current Expression

The relationship between voltage and current involving capacitance, i_c = C * dv/dt.

Inductance

A property of a coil that creates a voltage opposing change in current, denoted as L, measured in Henrys.

Faraday’s Law

Describes how a change in current through a coil induces an emf, represented as v = L (di/dt).

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Back emf

The voltage induced in an inductor that opposes the change in current through it.

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Energy stored in an inductor

The inductor stores energy in its magnetic field without dissipation, expressed as W = 1/2 L I^2.

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Henry (H)

The unit of inductance; defined as the inductance where an emf of 1V is induced with a current change of 1A/s.

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Capacitor Voltage Expression

A formula relating voltage across a capacitor to charge and capacitance, V = Q/C.

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Voltage Drop

The reduction in voltage across a resistor due to current flow.

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Current (I)

The flow of electric charge measured in Amperes (A).

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Resistance (R)

An electrical quantity that opposes the flow of current, measured in Ohms (Ω).

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Kirchhoff’s Current Law (KCL)

The principle stating total current entering a junction equals total current leaving it.

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Total Resistance (RT)

The equivalent resistance of a circuit path combined with resistors in series and parallel.

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Voltage across Resistor

The difference in electric potential energy between two points on a resistor.

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Applying KCL

Equivalent expression showing sum of entering currents equals sum of leaving currents at a junction.

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Current Calculation

Using voltage drop and resistance to find current through a resistor.

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Series Connection

Two elements are in series if the current flowing through one flows through the other.

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Parallel Connection

Two elements are in parallel if they share the same two end nodes, having the same voltage across them.

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Equivalent Resistance in Series

Equivalent resistance for series resistors is the sum of individual resistances: Req = R1 + R2 + ... + Rk.

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Equivalent Resistance in Parallel

For resistors in parallel, the reciprocal of equivalent resistance is the sum of the reciprocals of individual resistances: 1/Req = 1/R1 + 1/R2 + ... + 1/Rk.

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Effective Resistance

Effective circuit resistance combines series and parallel resistors based on their arrangement.

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Current through Resistors in Series

In a series connection, the same current flows through each resistor.

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Voltage across Resistors in Parallel

In a parallel connection, all resistors have the same voltage across their terminals.

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Resistance Comparison

In series, equivalent resistance is greater than the largest individual resistor; in parallel, it is less than the smallest.

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Thevenin's Theorem

A method to simplify a complex circuit into a simple equivalent circuit with a voltage source and a resistor.

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VTH (Thevenin Voltage)

The open-circuit voltage at the terminals A and B when looking back into the circuit.

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RTH (Thevenin Resistance)

The equivalent resistance seen from terminals A and B when all voltage sources are turned off.

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KVL (Kirchhoff's Voltage Law)

The total sum of voltages around any closed loop in a circuit equals zero.

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Thevenin Voltage (VTH)

The open-circuit voltage across the two terminals of a circuit.

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Thevenin Resistance (RTH)

The resistance seen from the terminals after deactivating all sources.

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Step 1 in Thevenin's Theorem

Remove the resistor from the circuit and mark the terminals.

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Step 2 in Thevenin's Theorem

Find the open-circuit voltage across the terminals using KVL.

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Step 3 in Thevenin's Theorem

Deactivate all sources by short-circuiting voltage sources and open-circuiting current sources.

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Step 4 in Thevenin's Theorem

Calculate the total resistance as seen from the terminals after deactivation.

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Step 5 in Thevenin's Theorem

Reproduce the Thevenin equivalent circuit with VTH and RTH connected to the resistor.

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Step 6 in Thevenin's Theorem

Calculate the current flowing through the resistor using I = VTH / (RTH + R).

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Superposition Theorem

The algebraic sum of individual source effects determines current/voltage in circuits.

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Equivalent Circuit

A circuit that behaves the same as another in terms of voltage and current.

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Algebraic Sum

The total obtained by adding and subtracting individual values.

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Current Distribution

How current is divided among components in a circuit.

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RT Calculation

Determining total resistance in a circuit using series and parallel formulas.

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Battery Contribution

The effect of a battery on current flow in a circuit.

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Reciprocity Theorem

Interchanging sources in a circuit doesn't change measurements.

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Ideal Ammeter

A device measuring current without affecting the circuit's flow.

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Ideal Voltmeter

A device measuring voltage that does not draw current.

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Total Current (IT)

The combined current flowing through the circuit from multiple sources.

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Study Notes

Course Information

  • Course Title: EE 151 - Applied Electricity
  • Facilitator: F. B. Effah (PhD)
  • Teaching Assistants: David Bawiina (0560456972), Tunteiya Alhassan (0249117004)
  • Email: [email protected]
  • Address: Department of Electrical & Electronic Engineering, Faculty of Electrical & Computer Engineering, College of Engineering, Room 13, Bamfo Kwakye Building
  • Office Hours: Monday-Friday, 9am-5pm

Target Students

  • First-year students enrolled in Electrical and Electronic Engineering courses.

Course Aim

  • Introduce first-year students to the fundamental physical principles behind Electrical and Electronic Engineering, including circuit theory and electric and magnetic fields.

Learning Outcomes

  • Knowledge and Understanding:
    • Understand Kirchhoff's laws, Norton and Thévenin equivalent circuits, and apply them to simple circuits.
    • Understand phasors and their applications to simple AC circuits.
    • Understand the superposition principle and apply it to simple AC circuits.
  • Intellectual Skills:
    • Reduce complex circuits to simpler forms.
    • Analyze linear and non-linear magnetic circuits.
  • Professional Practical Skills:
    • Apply appropriate methods to analyze various circuits.

Teaching Activities

  • Lecture note presentations
  • In-class tutorials
  • Practical examples

Assessment

  • Distribution:
    • Progress Test (10%) - Covers all learning outcomes (LO1-LO6)
    • Homework (5%) - Covers all learning outcomes (LO1-LO6)
    • Mid-Semester Exam (15%) - Covers all learning outcomes (LO1-LO6)
    • Final Exam (70%) - Covers all learning outcomes (LO1-LO6)

Reading List

  • Nilsson, J. W., & Riedel, S. A. (2006). Electric circuits. Pearson.
  • Boylestad, R. (2007). Introductory circuit analysis. Pearson.
  • Dorf, R. C. (Year). Introduction to Electric Circuits.
  • Johnson, Johnson, & Hilburn. (Year). Electric Circuit Analysis.
  • Powell, R. (Year). Introduction to Electric Circuits.
  • Bell Whitehead and Bolton. (Year). Basic Electrical and Electronic Engineering
  • Okyere, P. Y., & Frimpong, E. A. (Year). Fundamentals of Electric and Magnetic Circuits

Organisation of Semester

  • Unit 1: Circuits and Network Theorems (Weeks 2-4) - Covers Kirchhoff's laws, Thevenin's Theorem, Norton's Theorem, Superposition Theorem, and Delta-Star Transformation.
  • Unit 2: Alternating current circuits (Weeks 4-6) - Covers Average and RMS values, Harmonics, Phasors, impedance, current and power in AC circuits.
  • Unit 3: Three-phase circuits (Weeks 6-9) - Covers Connection of three-phase windings, three-phase loads, power in three-phase circuits, and solving three-phase circuit problems.
  • Unit 4: Magnetic circuits (Weeks 9-11) - Covers Components and terminologies, and magnetic circuit solutions.

Other Topics

  • Introduction to SI Units: Standard units used in scientific and engineering calculations.
  • Basic Quantities and SI Units: Definitions and units for length, mass, time, electric current, and temperature.
  • Important Derived Quantities (1 & 2): Definitions and units of force, energy, electric charge, power, voltage, electric field strength, electric charge density, electric flux density.
  • Electrical Charge: Introduction to the concept of electrical charge, nature's basic charge carriers (electrons, protons), and quantization of charge.
  • Voltage and Current: Relationship between voltage and energy, the concept of electrical current.
  • Power and Energy: Concepts of power, basic formulas.
  • Power Sign Convention: The current must enter the positive voltage terminal for power calculation.
  • Voltage and Current Sources: Definitions of ideal voltage and current sources.
  • Dependent Voltage and Current Sources: Different types of dependent sources.
  • Active and Passive Elements: Distinctions between components that generate and those that don't generate electrical energy.
  • Electric Resistance: Ohm's Law, Voltage, Power relationships.
  • Resistivity: Relationship to resistance, length, area and temperature.
  • Conductance: Reciprocal of resistance, measurement in Siemens.
  • Resistors in Series/Parallel: Definitions, formulas/rules.
  • Effective Resistance of a Circuit: Identifying series and parallel combinations.
  • Example Calculations: Specific numerical examples demonstrating methods of calculations.
  • Electric Field: Definition, characteristics, force in an electric field.
  • Capacitance: Definition of a simple capacitor, capacitance equation.
  • Current Flow in a Capacitor: Flow into and out of a capacitor when the voltage changes.
  • Energy Stored in an Inductor: Calculating energy.
  • Terminologies: Explaining basic circuit elements, such as nodes, branches, loops, and meshes.
  • Short-Circuit and Open-Circuit: Definition and representations in circuit.
  • Circuit Reduction: Simplifying a complicated circuit to a simpler equivalent circuit.
  • Kirchhoff's Current Law (KCL): Analyzing currents at a node (sum of currents into a node is equal to the sum of currents out of a node).
  • Kirchhoff's Voltage Law (KVL): Analyzing voltages around a closed loop (the algebraic sum of the potential differences around any closed loop is zero).
  • Thevenin's Theorem: Replacing complex circuits by an equivalent circuit consisting of a voltage source (VTH) in series with a resistance (RTH)
  • Norton's Theorem: Replacing complex circuits by an equivalent circuit consisting of a current source (IN) in parallel with a resistance (RN).
  • Source Transformations: Converting voltage sources to current sources and vice versa.
  • Superposition Theorem: Analyzing the effect of each independent source individually to find the total current or voltage.
  • Reciprocity Theorem: Exchanging an ammeter and a voltage source in a circuit doesn't change the ammeter reading.
  • Delta–Star Transformation: Converting a delta configuration of resistors to a star (wye) configuration and vice versa.

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