Learning Resource Topics Overview 1 Charge & Coulomb’s Law 2 Electric Current 3 Voltage 4 Resistance 5 Ohm’s Law 6 Power & Energy 7 Elements of Electric Circuits 8 Kirchhoff’s Law 9 Series Circuits 10 Parallel Circuits 11 Analysis of Combination Circuits 12 Capacitance 13 Inductance

# 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.

# 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.

# 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.

# 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.

# 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.

# 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.

# 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.

# 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.

# 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.

# 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.

# 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.

# 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.

# 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.

# 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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