A Phasor is a complex number. There are three forms to present a complex number, namely,the exponential form, the polar form, and the rectangular form.1. The exponential form is Ae2. The polar form is AZ. This form is the simplified version of the exponential form, which iscommonly used in practice questions to represent a phasor.3. The rectangular form is a + bj. This form is a classical representation of a complexnumber.We can transform between polar and rectangular forms for complex numbers.Polar form to rectangular form (i.e., A and are known, we want to find a and b):a = A cos o, b = A sin o.Rectangular form to polar form (i.e., a and b are known, we want to find A and o):A = √a² + b², ¢ = arctan . (If a is negative, & value needs to be adjusted by 180degree.)aWhat is the correct rectangular form of 10/90°?O 10j10O-10jO-10

Here we have to convert a complex number from polar form to rectangular form.

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What is the correct rectangular form of 10/90°? O 10j O 10 O-10j 0-10

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

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Question

A Phasor is a complex number. There are three forms to present a complex number, namely,
the exponential form, the polar form, and the rectangular form.
1. The exponential form is Ae
2. The polar form is AZ. This form is the simplified version of the exponential form, which is
commonly used in practice questions to represent a phasor.
3. The rectangular form is a + bj. This form is a classical representation of a complex
number.
We can transform between polar and rectangular forms for complex numbers.
Polar form to rectangular form (i.e., A and are known, we want to find a and b):
a = A cos o, b = A sin o.
Rectangular form to polar form (i.e., a and b are known, we want to find A and o):
A = √a² + b², ¢ = arctan . (If a is negative, & value needs to be adjusted by 180
degree.)
a
What is the correct rectangular form of 10/90°?
O 10j
10
O-10j
O-10

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