Complex number in polar form What is 10∠ 30 + 10∠ 30? Answer in polar form. Note that the angle is measured in degrees here.?

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  • Fornoob Team’s answer

    Method 1

    10 /_30 ⁰ = 10 [ cos 30 ⁰ + j sin 30 ⁰ ]

    10 /_30 ⁰ = 10 [ √3/2 + j (1/2) ]

    10 /_30 ⁰ = 5 [ √3 + j ]

    10 /_30 ⁰ + 10 /_30 ⁰ = 10 [ √3 + j ]

    Method 2

    10 /_30⁰ + 10 /_30⁰ = 20 /_30⁰

    20 /_30⁰ = 20 cos 30⁰ + j 20 sin 30⁰

    20 /_30⁰ = 10 √3 + j 10

    20 /_30⁰ = 10 [ √3 + j ]

  • Sqdancefan

    Since both vectors have the same angle, you can simply add their magnitudes.

    .. 10∠ 30 + 10∠ 30 = 20∠ 30

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