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  • https://eng.libretexts.org/Workbench/Introduction_to_Circuit_Analysis/08%3A_AC_Signal_Fundamentals/8.04%3A_Complex_Numbers
    Note that this is the same thing as plotting the phasor on the complex plane, and then observing the projection of the phasor on the real axis, as the phasor rotates around at a rate \(\omega t\) as s...Note that this is the same thing as plotting the phasor on the complex plane, and then observing the projection of the phasor on the real axis, as the phasor rotates around at a rate \(\omega t\) as shown in Figure \(\PageIndex{3}\). This can be visualized as a right triangle where the magnitude is the hypotenuse, the angle is the rotation above or below the horizontal, the horizontal component is the side adjacent to the angle and the vertical component is the side opposite of the angle.
  • https://eng.libretexts.org/Courses/Canada_College/Circuits_and_Devices/09%3A_AC_Signal_Fundamentals/9.04%3A_Complex_Numbers
    This can be visualized as a right triangle where the magnitude is the hypotenuse, the angle is the rotation above or below the horizontal, the horizontal component is the side adjacent to the angle an...This can be visualized as a right triangle where the magnitude is the hypotenuse, the angle is the rotation above or below the horizontal, the horizontal component is the side adjacent to the angle and the vertical component is the side opposite of the angle. To add or subtract complex quantities, first put them into rectangular form and then combine the reals with the reals and the \(j\) terms with the \(j\) terms as in \((3 + j5) + (13 − j1) = 16 + j4\).

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