Learning Objectives

Unit 1: Modeling Electric Circuit Elements

By the end of this unit, you will be able to:

  • Define Charge, Current, Voltage, Resistance, Ohm’s Law, the Concept of Power and Energy, Electric Source, Electric Circuit, Capacitance, and Inductance.

  • Solve problems systematically through discussions and applications of some important mathematical techniques and procedures for the modeling of common electric circuits.

Topic 1

Charge and Coulomb's Law

Learning objectives

By the end of this section you will be able to:

  • Define charge and Coulomb’s law, explain the force of attraction between two charged bodies as a vector quantity and differentiate between scalar and vector forces.

  • Mathematically express Coulomb’s law as a force of attraction or repulsion between two charged bodies which is directly proportional to the product of their charges and inversely proportional to the square of the distance between them.

Topic 2

Electric Current

Learning objectives

By the end of this section you will be able to:

  • Define current and current density and relate the three main parameters of an electric circuit.

  • Distinguish between direct current and alternating current and define the frequency.

  • Mathematically, model the flow of current as the time rate of change of the charge.

Topic 3

Voltage

Learning objectives

By the end of this section you will be able to:

  • Define voltage and distinguish between voltage rise and voltage drop.

  • Explain a few examples of applications at various ranges of voltage.

  • Establish a convention by which we can distinguish between energy supplied to an element, and energy that is supplied by the element itself.

Topic 4

Resistance

Learning objectives

By the end of this section you will be able to:

  • Define resistance, discuss the different types of resistance and identify resistors through colours.

  • Explain the analogy between water flowing in a pipe and current flowing in a wire.

  • Mathematically, define the percent error and the percent deviation in electrical measurements.

Topic 5

Ohm’s Law

Learning objectives

By the end of this section you will be able to:

  • Define Ohm’s law, describe Ohm’s law in graphical form and explain the behavior of electric circuits using Ohm’s law.

  • Mathematically, relate the three basic quantities, current, voltage and resistance through the concept of function.

Topic 6

Power and Energy

Learning objectives

By the end of this section you will be able to:

  • Define the concept of power and understand the relationship between current, voltage, and power.

  • Mathematically, relate the capacitance to the voltage-current relationship through derivative and integration.


Topic 7

Elements of Electric Circuits

Learning objectives

By the end of this section you will be able to:

  • Define electric circuit.

  • Define electric source and introduce independent and dependent voltage sources.

  • Mathematically, introduce the passive sign convention.

Topic 8

Kirchhoff’s Law

Learning objectives

By the end of this section you will be able to:

  • Explain how to apply Kirchhoff’s Voltage Law and Kirchhoff’s Current Law to electric circuits.

  • Explain basic methods for analyzing electric circuits.

Topic 9

Series Circuits

Learning objectives

By the end of this section you will be able to:

  • Discuss the properties of series circuits and voltage divider.

  • Follow rules to compute values of voltage, current, and resistance for series circuits.

Topic 10

Parallel Circuits

Learning objectives

By the end of this section you will be able to:

  • Discuss the properties of parallel circuits and current divider.

  • Follow rules to find voltage, current, and resistance for parallel circuits.

  • Explain the design steps of an electric circuit.

Topic 11

Analysis of Combination Circuits

Learning objectives

By the end of this section you will be able to:

  • Define a combination circuit.

  • Explain the procedure of circuit analysis using series/parallel equivalents.

Topic 12

Capacitance

Learning objectives

By the end of this section you will be able to:

  • Define capacitance and the concept of RC time constant.

  • Describe the construction of a capacitor and list the three factors that determine the capacitance of a capacitor.

  • Discuss the applications of capacitors.

  • Mathematically, relate the capacitance to the voltage-current relationship through derivative and integration.

Topic 13

Inductance

Learning objectives

By the end of this section you will be able to:

  • Define inductance and the concept of L/R constant.

  • Discuss the applications of inductors.

  • Mathematically, relate the inductor to the voltage current relationship through derivative and integration.
               

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