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The instantaneous values of two alternating voltages are given as _________ v1=60sinθ and v2=40sin(θ − π/3). Find the instantaneous sum.

The instantaneous values of two alternating voltages are given as _________ v1=60sinθ and v2=40sin(θ − π/3). Find the instantaneous sum. Correct Answer 87.2 sin(36.5°) V

Horizontal component of v1 = 40V Vertical component of v1=0V Horizontal component of v2=60cos600 Vertical component of v2=60sin600 Resultant horizontal component=60cos600 + 40 = 70V Resultant vertical component = 30√3 V Resultant = 87.2V tan(ϕ) = 30√3 / 70 => ϕ=36.50 Therefore sum = 87.2 sin( 36.5°) V.

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