Unformatted text preview: e i = cos + i sin , and by looking at the x and ycomponents of the polar coordinates. • By the rules of exponents, when you multiply/divide two complex numbers in polar form, ( A 1 , 1 ) and ( A 2 , 2 ), you get: o multiply: A 1 e i 1 × A 2 e i 2 = A 1 A 2 e i ( 1+ 2) = ( A 1 A 2 , 1 + 2 ) o divide: A 1 e i 1 ÷ A 2 e i 2 = ( A 1 /A 2 )e i ( 12) = ( A 1 / A 2 , 1 – 2 ) • The polar form is closely related to what Serway & Jewitt refer to as “phasors” (used to describe sinusoidal voltages in chapter 33), and is often written as: A ∠ . The “ ∠ ” symbol is read as, “at an angle of”. Thus you can write: (3 + 4i) × (5 + 12i) = 5 ∠ 53.13 ° × 13 ∠ 67.38 ° = 65 ∠ 120.51 ° (since 65 = 5 × 13 and 120.51 = 53.13 + 67.38)...
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 Winter '09
 Physics, Exponential Function, Cartesian Coordinate System, Complex number, Euler's formula, polar form

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