MRS EZRINDA MOHD ZAIHIDEE

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CHAPTER 1 COORDINATE SYSTEMS
MRS EZRINDA MOHD ZAIHIDEE FAKULTI KEJ. ELEKTRIK
ELEKTRONIK
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LEARNING OUTCOMES

• By the end of this lecture, students should be
  able to
• explain the relationship between the two systems
  (Cartesian coordinates and polar coordinates)
  using diagram.
• solve all the questions.

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SPHERICAL POLAR COORDINATES

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SPHERICAL POLAR COORDINATES

SPHERICAL POLAR CARTESIAN COORDINATES
? COORDINATES (r ,
? ,F) (x , y , z)
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SPHERICAL POLAR COORDINATES

CARTESIAN SPHERICAL
POLAR COORDINATES ?
COORDINATES (x , y , z)
(r
, ? , F)
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SPHERICAL POLAR COORDINATES
REMARK
Some of the book use the different symbols such
as (R, ?, F), (r, F, ?), (r, ?, ?) and so on to
represent the spherical polar coordinates.
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SPHERICAL POLAR COORDINATES
EXAMPLE 1 A point has Cartesian coordinates
(-5,2,4). Determine the spherical polar
coordinates.
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SPHERICAL POLAR COORDINATES
EXAMPLE 2 P has spherical polar coordinates
(3,40,70). Calculate the Cartesian coordinates
of P.
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SPHERICAL POLAR COORDINATES
EXAMPLE 3 Draw the surface defined by (a) (b)
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