Complex Numbers and Their Representations Quiz

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Complex Numbers represent points in a two dimensional complex or s-plane that are referenced to two distinct axes. The horizontal axis is called the “______ axis” while the vertical axis is called the “______ axis”

real, imaginary

complex number is represented in two forms. 1. Rectangular form 2. Polar Form 3 1.Rectangular form Z = x + jy Where: Z - is the Complex Number representing the Vector x - is the Real part y - is the Imaginary part j - is defined by ______

\sqrt{-1}

It is defined as a quantity which is numerically equal to and which represents the rotation of a vector through a 90° in anticlockwise direction.

[blank]

Convert the following from rectangular to polar Practice problem

[blank]

Sketch the following complex numbers in the complex plane: (a) (b) (c)

[blank]

DC circuit and waveform as shown in figure 1.4 (a) and (b). Fig: 1.4 (a) fig:1.4 (b) 3 Alternating current: Alternating ______

current

An electric current that has constant magnitude and same polarity (either positive or negative ) is called direct ______

current

An electric current that flows in one direction only. ______ current (DC) is an electric current that flows in one direction only

Direct

Direct current : Direct current (DC) is an electric current that flows in one direction ______

only

The material used in this presentation i.e., pictures/graphs/text, etc. is solely intended for educational/teaching purpose, offered free of cost to the students for use under special circumstances of Online Education due to COVID-19 Lockdown situation and may include copyrighted material - the use of which may not have been specifically authorised by Copyright Owners. It’s application constitutes Fair Use of any such copyrighted material as provided in globally accepted law of many ______

countries

Fair Use Notice

The material used in this presentation i.e., pictures/graphs/text, etc. is solely intended for educational/teaching purpose, offered free of cost to the students for use under special circumstances of Online Education due to COVID-19 Lockdown situation and may include copyrighted material - the use of which may not have been specifically authorised by Copyright Owners. It’s application constitutes Fair Use of any such copyrighted material as provided in globally accepted law of many countries. The contents of presentations are intended only for the attendees of the class being conducted by the presenter. Fundamentals of AC waveform 2 Direct current : Direct current (DC) is an electric current that flows in one direction only. An electric current that has constant magnitude and same polarity (either positive or negative ) is called direct current. The DC circuit and waveform as shown in figure 1.4 (a) and (b). Fig: 1.4 (a) fig:1.4 (b) 3 Alternating current: Alternating current

An electric current that flows in one direction only. ______ current (DC) is an electric current that flows in one direction only

Direct

It is defined as a quantity which is numerically equal to and which represents the rotation of a vector through a 90° in anticlockwise direction.

j

The horizontal axis is called the “______ axis” while the vertical axis is called the “______ axis”

Real, Imaginary

The material used in this presentation i.e., pictures/graphs/text, etc. is solely intended for educational/teaching purpose, offered free of cost to the students for use under special circumstances of Online Education due to COVID-19 Lockdown situation and may include copyrighted material - the use of which may not have been specifically authorised by Copyright Owners. It’s application constitutes Fair Use of any such copyrighted material as provided in globally accepted law of many ______

countries

Convert the following from rectangular to polar Practice problem complex number is represented in two forms. 1. Rectangular form 2. Polar Form 3 1.Rectangular form Z = x + jy Where: Z - is the Complex Number representing the Vector x - is the Real part y - is the Imaginary part j - is defined by ______

i

______ - the use of which may not have been specifically authorised by Copyright Owners. It’s application constitutes Fair Use of any such copyrighted material as provided in globally accepted law of many countries. The contents of presentations are intended only for the attendees of the class being conducted by the presenter. Fundamentals of AC waveform 2

Fair Use Notice The material used in this presentation i.e., pictures/graphs/text, etc. is solely intended for educational/teaching purpose, offered free of cost to the students for use under special circumstances of Online Education due to COVID-19 Lockdown situation and may include copyrighted material

Direct current (______) is an electric current that flows in one direction only. An electric current that has constant magnitude and same polarity (either positive or negative ) is called direct current

DC

An electric current that has constant magnitude and same polarity (either positive or negative ) is called ______

direct current

The DC circuit and waveform as shown in figure 1.4 (a) and (b). Fig: 1.4 (a) fig:1.4 (b) 3 Alternating current: Alternating c.

alternating current

An electric current that flows in one direction only.

direct current

Test your understanding of complex number systems, rectangular and polar forms, and the 1 j operator with this quiz. Explore the properties of complex numbers and their representation in the complex plane.

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