1. Express the following complex numbers in cartesian form x + jy: 1/2 e jπ ,...

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Electrical Engineering

1. Express the following complex numbers in cartesian form x +jy: 1/2 e jπ , 1/2 e −jπ , √ 2e j9π/4 , √ 2e −j9π/4

2. Express the following complex numbers in polar form rejθ with−π < θ ≤ π: 5, −2, 1/2 − j √ 3/2, (1 + j)/(1 − j).

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Answer 1 We use Eulers expressioin ie aejx acosx jsinx 05ejpie 05cospie jsinpie 05 j0 05ejpie 05cospie jsinpie 05 j0 205 ej9pie4 205 cos9pie4 jsin9pie4 205 205 j205 1 j    See Answer
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