Question
Download Solution PDFThe polar form of a vector is 10∠30. What is the rectangular form of this vector?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConversion from polar to rectangular form
The polar form of a coordinate is represented by \(a∠\theta\)
The rectangular form of a coordinate is represented by \(x+iy\)
where, \(x=acos\theta\)
\(y=asin\theta\)
Calculation
Given, Polar form: 10∠30°
The rectangular form is given by:
x = 10 cos(30°)
x = \(\rm 5√3 \)
y = 10 sin(30°)
y = 5
∴ The rectangular form is 5√3 + j5
Last updated on May 29, 2025
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