2.5.5 Component Phasors

•

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This document discusses using trigonometric functions to calculate the active and reactive values of a right triangle given an angle of 60 degrees and a hypotenuse of 200. It determines that the adjacent side is 100V by multiplying the hypotenuse by the cosine of the angle, and that the opposite side is 173 by multiplying the hypotenuse by the sine of the angle.

cos ϕ
=
adjacent / hypotenuse

∴adjacent
=
hypotenuse X cosϕ

=
200 x (cos60)

=
100V
The active value (x value) is equal to 100V.

sinϕ
=
opposite / hypotenuse

∴ opposite

hypotenuse x sinϕ
=

=
200 x (sin60)

=
73
1
The reactive value (y value) is equal to 173.

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