Question A.2: Polar-to-Rectangular Conversion Convert Z3 = 5 ∠30◦ to rect......

Polar-to-Rectangular Conversion

Convert Z_3 = 5 ∠30° to rectangular form.

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Using Equations A.3 and A.4, we have

x = |Z| \cos(θ)           (A.3)

y = |Z| \sin(θ)           (A.4)
x = |Z| \cos(θ) = 5 \cos(30°) = 4.33
and
y = |Z| \sin(θ) = 5 sin(30°) = 2.5
Thus, we can write
Z_3 = 5 ∠30° = x + jy = 4.33 + j2.5

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